GB2464823A - Testing swell characteristics of swellable materials - Google Patents

Testing swell characteristics of swellable materials Download PDF

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Publication number
GB2464823A
GB2464823A GB0918889A GB0918889A GB2464823A GB 2464823 A GB2464823 A GB 2464823A GB 0918889 A GB0918889 A GB 0918889A GB 0918889 A GB0918889 A GB 0918889A GB 2464823 A GB2464823 A GB 2464823A
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United Kingdom
Prior art keywords
swellable
fluid
test piece
swell
packer
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GB0918889A
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GB0918889D0 (en
GB2464823B (en
Inventor
Brian Nutley
Kim Nutley
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Swelltec Ltd
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Swelltec Ltd
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Priority to GB1103290A priority Critical patent/GB2475450B/en
Publication of GB0918889D0 publication Critical patent/GB0918889D0/en
Publication of GB2464823A publication Critical patent/GB2464823A/en
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Publication of GB2464823B publication Critical patent/GB2464823B/en
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Classifications

    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16ZINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS, NOT OTHERWISE PROVIDED FOR
    • G16Z99/00Subject matter not provided for in other main groups of this subclass
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B7/00Measuring arrangements characterised by the use of electric or magnetic techniques
    • G01B7/16Measuring arrangements characterised by the use of electric or magnetic techniques for measuring the deformation in a solid, e.g. by resistance strain gauge
    • G01B7/24Measuring arrangements characterised by the use of electric or magnetic techniques for measuring the deformation in a solid, e.g. by resistance strain gauge using change in magnetic properties
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B32LAYERED PRODUCTS
    • B32BLAYERED PRODUCTS, i.e. PRODUCTS BUILT-UP OF STRATA OF FLAT OR NON-FLAT, e.g. CELLULAR OR HONEYCOMB, FORM
    • B32B3/00Layered products comprising a layer with external or internal discontinuities or unevennesses, or a layer of non-planar form; Layered products having particular features of form
    • B32B3/26Layered products comprising a layer with external or internal discontinuities or unevennesses, or a layer of non-planar form; Layered products having particular features of form characterised by a particular shape of the outline of the cross-section of a continuous layer; characterised by a layer with cavities or internal voids ; characterised by an apertured layer
    • B32B3/30Layered products comprising a layer with external or internal discontinuities or unevennesses, or a layer of non-planar form; Layered products having particular features of form characterised by a particular shape of the outline of the cross-section of a continuous layer; characterised by a layer with cavities or internal voids ; characterised by an apertured layer characterised by a layer formed with recesses or projections, e.g. hollows, grooves, protuberances, ribs
    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B33/00Sealing or packing boreholes or wells
    • E21B33/10Sealing or packing boreholes or wells in the borehole
    • E21B33/12Packers; Plugs
    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B33/00Sealing or packing boreholes or wells
    • E21B33/10Sealing or packing boreholes or wells in the borehole
    • E21B33/12Packers; Plugs
    • E21B33/1208Packers; Plugs characterised by the construction of the sealing or packing means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
    • G01N15/08Investigating permeability, pore-volume, or surface area of porous materials
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N19/00Investigating materials by mechanical methods
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N19/00Investigating materials by mechanical methods
    • G01N19/10Measuring moisture content, e.g. by measuring change in length of hygroscopic filament; Hygrometers
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10TTECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T156/00Adhesive bonding and miscellaneous chemical manufacture
    • Y10T156/10Methods of surface bonding and/or assembly therefor
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10TTECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T428/00Stock material or miscellaneous articles
    • Y10T428/21Circular sheet or circular blank
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10TTECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T428/00Stock material or miscellaneous articles
    • Y10T428/24Structurally defined web or sheet [e.g., overall dimension, etc.]
    • Y10T428/24479Structurally defined web or sheet [e.g., overall dimension, etc.] including variation in thickness
    • Y10T428/24612Composite web or sheet

Abstract

Swell characteristics of swellable components used in downhole exploration or production equipment, such as swellable packers, are tested by placing a test piece in a fluid chamber. The change in dimension (e.g. thickness) of the swellable material is measured by displacement of the test piece, or by displacement of or pressure applied to a target plate to which the test piece applies force as the material swells (figures 6 & 7). The test piece may be in the form of a disc having a recess filled with the swellable material to be tested (figures 4A & 4B). Measured test piece data 210 is compared 240 with data measured from a swellable component 220, e.g. a sample section of a tool, to determine a relationship between the swell characteristic of the test piece and a swell characteristic of the swellable component 250. The determined relationships can then be used to calculate or predict swelling characteristics of swellable components, for example particular packer designs, in specific fluid samples.

Description

1 Method and apparatus for testing swellable materials 3 The present invention relates to a method and apparatus for testing of swellable materials 4 and in particular to a method and apparatus for testing of swell characteristics of materials and components used in downhole equipment for the oil and gas exploration and 6 production industries.
8 Background to the Invention
Swellable materials have been used in a range of oil and gas exploration and production 11 equipment. Most notably, swellable materiats have been used in wellbore packers for 12 creating a seal in an annular space between a tubing and a surrounding wall of a cased 13 hole or openhole well. A typical swellable packer includes a mantle of swellable 14 elastomeric material formed around a tubular body. The swellable elastomer is selected to increase in volume on exposure to at least one triggering fluid, which may be hydrocarbon 16 fluid or an aqueous fluid or brine. The packer is run to a downhole location in its 17 unexpanded, unswollen state where it is exposed to a welibore fluid and caused to swell.
18 The design, dimensions, and swelling characteristics are selected such that the swellable 19 mantle creates a fluid seal in the annulus, thereby isolating one wellbore section from another. Swellable packers have several advantages over conventional packers, including 21 passive actuation, simplicity of construction, and robustness in long term isolation 22 applications. Examples of swellable packers and suitable materials are described in 23 GB2411918.
2 The swell characteristics of the packer are critical to proper performance of the packer.
3 Important swell characteristics include the swell rate, the time taken for the outer surface 4 of the mantle to reach and contact the exterior surface (which may be referred to generally as "contact time") and the time taken to reach the point of maximum internal pressure 6 exerted by the packer on the surrounding surface (which may be referred to generally as 7 "pack-off time"). The swell characteristics are dependent on various factors including the 8 materials used, the dimensions and design of the tool, the wellbore conditions (including 9 temperature and pressure), and the fluid or fluids to which the tool is exposed.
11 It is known in the art to carry out tests on swellable packers by placing a representative 12 sample of the packer in a fluid. A typical sample packer section is shown in Figure 1, 13 generally depicted at 10. A swellable mantle 12 is formed on a pipe or mandrel 14 14 according to conventional manufacturing techniques and has a known outer diameter and thus a known mantle thickness. The packer section 10 is formed by cutting a short length, 16 for example 8 to 15 cm, through the mantle 12 and the pipe 14. The sample packer 17 section 10 is placed in a fluid bath (not shown), which contains a hydrocarbon or aqueous 18 fluid or brine used for the test. The fluid bath is located inside an oven, which can be 19 heated to typical wellbore temperatures. For example, the oven may be operable to heat the fluid and packer section 10 to temperature of around 80°C to 150°C. The packer 21 section 10 is left in the fluid bath for the duration of the test (which may be several days).
22 At regular intervals during the test, the oven is opened, the packer section is removed, and 23 the outer diameter is measured manually using a calliper gauge. The measurement data 24 for such packer sections 10 are generally considered by the industry to be representative of the swell times of a complete tool of the same radial dimensions and configuration in a 26 wellbore environment.
28 Figure 2 is a plot of thickness change, expressed as a percentage of the original thickness, 29 versus exposure time of a sample packer section 10 with an initial outer diameter of 5.75 inches (approximately 146mm) on a base pipe having outer diameter of 4.5 inches (around 31 114mm). The packer section 10 of this example had a swellable mantle 12 formed from 32 ethylene propylene diene M-class rubber (EPDM) rubber and was exposed to Clairsol� (a 33 hydrocarbon fluid) at 9000. The data show that the time taken for the sample section to 34 swell to its maximum volume (with a percentage thickness increase of around 80%) is around 600 hours or 25 days.
2 A packer will be deployed in and sealing with a wellbore of known inner diameter. For 3 example, the packer 10 for the test data of Figure 2 is designed for sealing with a bore of 4 inner diameter in the range of 6 to 6.8 inches (about 152.4 mm to 172.7 mm). The measurements of particular interest are the time taken for a swellable mantle to increase 6 in outer diameter to contact a surrounding surface of a wellbore of a particular inner 7 diameter (the "contact time") and the time taken for the swellable mantle to exert its 8 maximum internal pressure against a sealing surface of a particular inner diameter (the 9 "pack-off time"). In the example of Figure 2, the packer has a contact time of 60 hours with a 6.125 inch (about 155.6 mm) wellbore.
12 Performing such tests on packer sections requires an oven and a suitable fluid chamber, 13 which typically lacks portability and takes up valuable space at an exploration or 14 production installation. Carrying out the tests is labour intensive, and may be hazardous due to the nature of the fluids used and the elevated temperatures. Physical handling of 16 the sample sections may be difficult or unsafe when the packer sections have been 17 exposed to fluid, particularly at high temperatures. Measurement of the outer diameter is 18 prone to error, particularly because the swellable material is soft and may be deformed by 19 the callipers. Multiple personnel may be required to measure the outer diameter at different measurement times, and each individual may take a measurement by a slightly 21 different technique, introducing further uncertainty into the measurement data. The long 22 swelling times of the sample packer sections are inconvenient for rapid measurement of 23 swell characteristics. The long test times also increase the likelihood of multiple personnel 24 being used to measure the outer diameter, and therefore increase the likelihood of inconsistent measurements. Long test times limit the repeatability of the tests, and reduce 26 the practicability of tests being carried out for multiple fluid samples. These factors 27 combine to reduce the quality of the available measurement data.
29 With packer sample section 10 of the prior art, the ends of the swellable member 12 are exposed to the test fluid, which increases the surface area-to-volume ratio at each end of 31 the section 10, relative to the surface area-to-volume ratio at its axial midpoint. This 32 means that the swelling rate of the swellable member at the end of the sample section 10 33 is likely to be greater than the swelling rate at its axial midpoint, causing non-uniform 34 swelling which can have an adverse effect on the accuracy of the measurements of the outer diameter.
2 The industry tends to make assumptions about the swell characteristics of swellable 3 materials in different fluids. For example, a simplified model of volume increase of 4 swellable elastomers assumes that the swell rate of a swellable material depends primarily on the viscosity of the fluid to which it has exposed. Accordingly, a sample packer section 6 10 may be tested in a fluid of low viscosity (for example 1 cP), with measurements of 7 percentage change in thickness over time being made. Measurements may also be made 8 for an identical sample packer section in a higher viscosity of fluid (for example 100 cP or 9 100 mPa). In order to predict the swell characteristics of a packer section in a given wellbore fluid sample with a different viscosity, the measurement data will be interpolated 11 or extrapolated rather than repeating the tests in the wellbore fluid sample.
13 Additionally, in some simplified models, the pack-off time for a particular inner diameter is 14 assumed to be constant multiplier of the contact time. This simplified model is flawed, because it does not account for different swelling end points of a swellable material in 16 different fluid samples. For example, a packer sample section exposed to one 17 hydrocarbon fluid with 1 cP viscosity might have a maximum swelling extent of, for 18 example 75% of the original mantle thickness, whereas the swelling end point of an 19 identical tool sample in a different hydrocarbon fluid, also having a viscosity of 1 cP, may have a swelling end point of 80% of the original thickness of the mantle. Figure 3 is a plot 21 of swelling profile of two identical sample sections in different hydrocarbon-based fluids 22 with the same viscosity (1.5cP). The plot shows that the swell characteristics of the 23 sample in Fluid 1 (which was the special kerosine Clairsol 35OMHFTM) are different from 24 the swell characteristics of the sample in Fluid 2 (which was a gas oil) despite the test fluids having the same fluid viscosity. Different swelling end points have an effect on the 26 contact time and pack-off time, which is not accounted for in a model which relies on 27 viscosity effects only. This illustrates that it would be advantageous to account for fluid 28 types when assessing swell characteristics.
It is amongst the aims and the objects of the invention to provide methods, testing 31 apparatus, and test pieces which overcome or mitigate the drawbacks of conventional 32 testing procedures and apparatus.
34 Further aims and objects of the invention will become apparent from the following
description.
2 Summary of the Invention
4 According to a first aspect of the invention, there is provided a method of testing a swellable component for downhole hydrocarbon exploration or production equipment, the 6 method comprising the steps of: 7 providing a test piece comprising a swellable material in a fluid chamber of a testing 8 apparatus; 9 exposing the test piece to a triggering fluid; measuring, using a transducer of the testing apparatus, a swell characteristic of the test 11 piece to provide a test piece measurement data set.
13 The test piece may be a small, portable test piece which is easy to handle and which can 14 be tested in a small, portable test apparatus. The swell characteristics measured may for example be thickness of the test piece (or another dimension) or a pressure exerted by the 16 test piece during swelling.
18 The method may comprise the step of recording the measurement data set in a data 19 storage device. The method may comprise the additional step of outputting the measurement data set to a data processing means. The data processing means may be a 21 personal computer, or alternatively maybe a dedicated data processing module.
23 The method may comprise generating a report of the swell characteristic. Preferably, the 24 measurement data set comprises a time series of a swell characteristic, and the method may comprise generating a report of the measurement data set, which may be a changing 26 swell characteristic or parameter over time.
28 The fluid may comprise a hydrocarbon fluid. Alternatively, or in addition, the fluid may 29 comprise an aqueous fluid or brine. The fluid may be a sample of a fluid to which downhole equipment will be exposed in a wellbore. Thus, when testing a swellable 31 material for use in downhole equipment for a particular wellbore installation, a sample of 32 wellbore fluid used in that installation may be used in the method to measure a swell 33 characteristic of the sample in that fluid. The fluid may be a drilling mud, a completion 34 fluid, or a production fluid. Other fluids are within the scope of the invention.
1 The method may comprise the step of exposing the sample to a second fluid or to a 2 second fluid mixture. Thus the sample may be exposed to a first fluid for a period of time, 3 with swell characteristics measured during that period. The sample may be exposed to a 4 second fluid, different from the first, for a second period of time in order to measure the swell characteristic of the sample when exposed to the second fluid.
7 The method may comprise the additional step of circulating fluid in the chamber. Thus, 8 according to one embodiment, the sample may be exposed to a first fluid for a period of 9 time, following which the first fluid may be circulated out of a chamber and replaced by a second fluid. After a further period, the first fluid may be circulated in the chamber to 11 replace the second fluid. Alternatively, a third fluid may replace the second fluid.
12 According to this embodiment, the method may simulate the exposure of the sample to 13 different fluids, as might occur during deployment of downhole equipment, or during the 14 operational lifetime of the downhole equipment. For example, the method may be used to monitor the effect of circulating a completion fluid such as a brine, past the equipment, 16 before being exposed to hydrocarbon fluid such as a drilling fluid or produced 17 hydrocarbons. The method allows a swell characteristic to be measured throughout 18 exposure to different fluid types.
The method may comprise the step of heating and/or cooling the chamber of the 21 apparatus. The method may therefore simulate wellbore conditions, and in particular may 22 expose the sample to an environment similar to that found in a downhole wellbore 23 installation. In particular the method may comprise the step of increasing the temperature 24 of the test piece. Thus the method may simulate an increasing temperature experienced by downhole equipment during run-in. The method may comprise the step of introducing a 26 sharp temperature change to the chamber. This may simulate the injection of a fluid 27 passed the swellable apparatus, the fluid being at a different temperature from the ambient 28 conditions in the wellbore. Such conditions may for example occur during a wellbore 29 clean-up operation.
31 Changing the temperature profile of the chamber may comprise the step of circulating a 32 fluid in the chamber at a different temperature. The method may include the step of 33 heating or cooling the sample or fluid by a joule heater or Peltier device.
The method may comprise the additional step of determining a relationship between a 1 swell characteristic of the test piece and a swell characteristic of a downhole tool. The 2 relationship may in particular be a time domain scaling between the respective time series.
3 The method also may comprise calculating swelling data for a swellable component of 4 hydrocarbon exploration or production equipment from the test piece measurement data, using a determined relationship between a test piece swell characteristic and a swellable 6 component swell characteristic.
8 The method may comprise providing swellable component configuration data, and storing 9 the swellable component configuration data in a database with the determined relationship. The swellable component configuration data is data about the component, 11 and may for example include at least one of: dimensions of the swellable component; 12 shape of the swellable component; materials used in the swellable component; and 13 construction techniques used to form the swellable component. Therefore a determined 14 relationship can be assigned to or identified with a particular swellable component.
16 The method may comprise deriving a ratio of a dimension of the swellable component to a 17 dimension of the test piece from the swellable component configuration data. For example 18 a ratio of the thickness of a swellable component to the thickness of the swellable material 19 in the test piece may be derived from the swellable component configuration data.
21 The method may comprise the steps of: 22 a. providing an additional measurement data set comprising measurement data 23 corresponding to an additional swellable component swell characteristic; 24 b. comparing the first and additional measurement data sets to determine an additional relationship between a test piece swell characteristic and the additional 26 swellable component swell characteristic.
28 Therefore for a single test of a test piece, relationships can be determined with swellable 29 components of different configurations and stored in a database.
31 The method as claimed may comprise repeating steps a. and b. for at least one further 32 swellable component, and storing the plurality of determined relationships in a database 33 with the swellable component configuration data.
For example, in the context of swellable packers, relationships with swelling profiles of 1 packers of different sizes can be calculated. This can be repeated, with the relationships 2 stored in the database.
4 The method may also comprise deriving a further relationship between the swellable component configuration data and the plurality of determined relationships. For example, 6 a further relationship between the ratio of the thickness of a swellable component to the 7 thickness of the swellable material in the test piece, and the time domain scaling multiplier 8 can be determined. This allows prediction of swell characteristics of a tool configuration, 9 even where a specific tool configuration has not been tested.
11 According to a second aspect of the invention there is provide an apparatus for testing a 12 swell characteristic of a material used in a sweflable component of downhole hydrocarbon 13 exploration or production equipment, the apparatus comprising: a fluid chamber configured 14 to receive a fluid and a test piece comprising a swellable material; and a transducer for measuring a swell characteristic of the test piece.
17 The apparatus may comprise an output line for outputting measurement data from the 18 transducer, which may be operable to measure a dimension of the test piece, such as a 19 thickness. The transducer may be a non-contact transducer which tracks movement of a test piece or a target coupled to the test piece. In one embodiment, the transducer is an 21 eddy current transducer and is disposed to measure an eddy current in the test piece or a 22 target. The target or the test piece may be configured to move in correspondence with an 23 increase in volume of the swellable material of the test piece. Alternatively, the transducer 24 may be a contact transducer.
26 A movable plate may be provided which may be configured for movement in a single 27 direction (which is preferably vertical). The movable plate moves in correspondence to an 28 increase in volume of the swellable material of the test piece. Wherein the transducer is a 29 contact transducer, the movable member is disposed to contact the head of the transducer. The movable member may impart a force or pressure on to the transducer 32 The apparatus may include a temperature control system, which may have a heating 33 element operable to heat fluid in the fluid chamber and may comprise a temperature 34 feedback loop. The apparatus may comprise an inlet and/or an outlet for the chamber, and may be configured for the circulation of fluid in the fluid chamber via the inlet and 1 outlet.
3 The apparatus may be part of a system of portable components, which may comprise one 4 or more of a data logging unit, a power supply unit, and/or an interface for a portable computer.
7 According to a third aspect of the invention there is provided method of analysing data 8 obtained from a test of a swellable component of downhole hydrocarbon exploration or 9 production equipment, the method comprising the steps of: providing a first measurement data set comprising measurement data corresponding to a 11 test piece swell characteristic; 12 providing a second measurement data set comprising measurement data corresponding to 13 a swellable component swell characteristic; 14 comparing the first and second measurement data sets to determine a relationship between a test piece swell characteristic and a swellable component swell characteristic.
17 The first measurement data set may comprise data corresponding to a dimension (e.g. a 18 thickness) of the test piece, and the second measurement data set may comprise data 19 corresponding to a dimension of the swellable component. The second measurement data set may be a dimension of the swellable component, for example be data corresponding to 21 an outer diameter of the swellable component (which may be a swellable wellbore packer).
23 The second measurement data set may be measured from a swellable component 24 sample, such as a packer section sample or a model of a tool, or may be from a full scale tool test.
27 The first measurement data set may comprise a first time series, and/or the second 28 measurement data set may comprise a second time series.
Preferably both of the data sets are time series, which may be compared to derive a time 31 domain scaling multiplier for the time values of one of the time series. Thus the 32 relationship between the respective swell characteristics may be a time scaling factor.
33 Thus where the swellable component is a packer, the test piece may comprise a thin piece 34 of swellable material which swells faster than a full size packer. The time domain multiplier may be applied to the time values for the test piece to provide a swell profile 1 which matches that of the packer.
3 The method may comprise setting a value of a time domain scaling multiplier; and applying 4 the time domain scaling multiplier to the time values of one of the first or second time series to generate a scaled time series.
7 The method may comprise optimising the time domain scaling multiplier to minimise a 8 difference between the scaled time series and the other, unscaled time series.
The method may comprise providing swellable component configuration data, and storing 11 the swellable component configuration data in a database with the determined 12 relationship.
14 The swellable configuration data preferably comprises at least one of: dimensions of the swellable component; shape of the swellable component; materials used in the swellable 16 component; and construction techniques used to form the swellable component.
18 The method may comprise deriving a ratio of a dimension of the swellable component to a 19 dimension of the test piece from the swellable component configuration data, which may be a ratio of the thickness of a swellable component to the thickness of the swellable 21 material in the test piece.
23 The method may comprise the steps of: 24 a. providing an additional measurement data set comprising measurement data corresponding to an additional swellable component swell characteristic; 26 b. comparing the first and additional measurement data sets to determine an 27 additional relationship between a test piece swell characteristic and the 28 additional swellable component swell characteristic.
Steps a. and b. may be repeated for at least one further swellable component, and the 31 method may comprise storing the plurality of determined relationships in a database with 32 the swellable component configuration data.
34 The method may comprise deriving a further relationship between the swellable component configuration data and the plurality of determined relationships. For example, 1 a further relationship between the ratio of the thickness of a swellable component to the 2 thickness of the swellable material in the test piece, and a time domain scaling multiplier 3 may be derived.
In one particular embodiment, a plurality of determined relationships is obtained for 6 different swellable components or tool designs, and the determined relationships may 7 have a correlation with parameters or features of the swellable components. For example, 8 a relationship may be determined between the time-domain scaling multiplier and the ratio 9 of thickness of the swellable material of the test piece and the thickness of a mantle of a swellable packer. This allows prediction or calculation of a relationship for a tool design 11 from the measured data, which in turn can be used to predict the swelling characteristics 12 of a tool, even when the tool design itself has not been tested. A database may be built up 13 from the determined relationships.
According to a fourth aspect of the invention, there is provided a method of calculating 16 swelling data for a swellable component of downhole hydrocarbon exploration or 17 production equipment, the method comprising the steps of: 18 providing a test piece measurement data set, obtained by disposing a test piece 19 comprising a swellable material in a fluid chamber of a testing apparatus, exposing the test piece to a fluid, and measuring a test piece swell characteristic; 21 calculating swelling data for the swellable component from the test piece measurement 22 data set, using a relationship between a test piece swell characteristic and a swellable 23 component swell characteristic.
The method may comprise obtaining the test piece measurement data set by performing a 26 test on the test piece, or the steps of obtaining the data may be performed separately (at 27 another location) with the data later used in the method of this aspect of the invention.
29 A wellbore operation may be simulated, for example by altering one or more of the fluid composition, the fluid volume, the fluid temperature, or the test piece temperature during 31 the test. The fluid may be selected to correspond to a fluid to which the swellable 32 component will be exposed during a downhole operation, and may be an actual sample of 33 wellbore fluid to which the swellable component will be exposed during a wellbore 34 operation.
1 The method as claimed in any of claims 55 to 59 wherein the swelling data comprises a 2 time series of swelling characteristics of the swellable component.
4 The suitability of the swellable component for a downhole operation may be assessed, based on the calculated swelling data. The method may be repeated to calculate swelling 6 data for a plurality of different swellable components using relationships between a test 7 piece swell characteristic and the respective swellable component characteristics.
9 Where the swellable component is a part of a wellbore packer, one or more of the following parameters may be calculated to assess the performance and/or suitability of the 11 packer for a particular operation: a time at which the packer will contact a borehole wall of 12 known dimensions; a time at which the packer will exert its maximum pressure against a 13 borehole wall; or a pressure differential rating for the packer in a borehole of known 14 dimensions.
16 According to a fifth aspect of the invention, there is provided a method of forming a test 17 piece for a swellable component for downhole exploration or production equipment, the 18 method comprising: 19 providing a substantially planar substrate of a non-swellable material; bonding a layer of swellable material selected to increase in volume on exposure at least 21 one triggering fluid onto the substrate.
23 Preferably, the test piece is substantially planar. The substrate may be metal, and most 24 preferably is steel. The substrate may be a disc of metallic material, having a recess formed in one face of the disc. The swellable material may be moulded into the recess of 26 the disc, or may be cut to fit the recess.
28 The swellable material may be bonded to the substrate on the base of the recess, and 29 may also be bonded on the side walls of the recess.
31 The disc may have a thickness in the range of 1 mm to 5 mm. The recess may have a 32 depth in the range of 0.5 mm to 4 mm. The recess preferably has a depth of 33 approximately 2 mm. The swellable material may have a thickness corresponding to the 34 depth of the recess. The thickness is selected to provide portability, along with a rapid swelling rate, balanced with reasonably long overall swelling time to allow sufficient data to 1 be gathered.
3 According to a sixth aspect of the invention, there is provided a test piece for use in a 4 method of testing a swelling characteristic of a swellable component for downhole exploration or production equipment, the test piece comprising a planar substrate having a 6 recess, and a swellable material selected to increase in volume on exposure at least one 7 triggering fluid moulded into or otherwise formed in the recess.
9 According to a seventh aspect of the invention, there is provided a packer section for testing a swelling characteristic of a swellable wellbore packer in a controlled environment, 11 the packer section comprising: a substantially cylindrical body portion having an outer 12 surface; at least one annular recess defined on the body; and a swellable material 13 disposed in the annular recess, the swellable material selected to increase in volume on 14 exposure to at least one triggering fluid; wherein the outer diameter of the outer surface corresponds to the outer diameter of an end ring on the welibore packer, and the outer 16 diameter defined by a base of the recess corresponds to the outer diameter of a base pipe 17 of the wellbore packer, such that the swellable material defines a swellable body which 18 corresponds to the radial dimensions of a swellable mantle of the wellbore packer.
Preferably, the swellable material is bonded to the body portion at the surface defining the 21 base of the annular recess. The swellable material may alternatively or in addition be 22 bonded to the body portion at the radially extending side walls which define the annular 23 recess.
The annular recess may be formed in the body portion by a machining process.
26 Alternatively, or in addition, the annular recess may be at least partially defined by a ring 27 upstanding from a cylindrical base member or mandrel of the body portion. The ring may 28 be slipped on to the cylindrical base member, or alternatively may be threaded on to the 29 cylindrical base member.
31 The swellable material may substantially fill the annular recess such that the outer surface 32 of the swellable body is flush with the outer cylindrical surface of the body portion.
34 The packer model may comprise a plurality of annular recesses. The annular recesses may be formed to different depths.
2 The swellable material may be selected to increase in volume on exposure to a 3 hydrocarbon triggering fluid, an aqueous triggering fluid, or may be a hybrid swellable 4 material which increases in volume on exposure to either of a hydrocarbon or aqueous triggering fluid. The swellable material may comprise an ethylene propylene diene 6 monomer rubber (EPDM).
8 Embodiments of the different aspects of the invention may comprise optional or preferred 9 features of any of the other preferred aspect of the invention.
1 Brief Descrirtion of the Drawings 3 To aid a more complete understanding of the invention, example embodiments will now be 4 described with reference to the following drawings: 6 Figure 1 is a perspective view of a sample section of a swellable packer; 8 Figure 2 is a plot of swelling profile of a sample section of a swellable mantle; Figure 3 is a plot of swelling profile of two identical sample sections in different 11 hydrocarbon fluids with the same viscosity; 13 Figures 4A and 4B are respectively perspective and sectional views of a test piece in 14 accordance with an embodiment of the invention; 16 Figure 5 is a sectional view of a mould used to form the test piece of Figure 4 in 17 accordance with an embodiment of the invention; 19 Figure 6 is a sectional view of a testing apparatus in accordance with an embodiment of the invention; 22 Figure 7 is a sectional view of a testing apparatus in accordance with an alternative 23 embodiment of the invention; Figure 8 is a plot of thickness change versus time for a test piece of an embodiment of the 26 invention; 28 Figure 9 is a sectional view of a part of a testing apparatus in accordance with a further 29 alternative embodiment of the invention; 31 Figure 10 is a plot of pressure versus time measured using the apparatus of Figure 9; 33 Figure 11 is a block diagram showing schematically the steps of a method of collecting test 34 data in accordance with an embodiment of the invention; 1 Figure 12 is a block diagram showing schematically the steps of a method of predicting a 2 swell characteristic of a tool in accordance with an embodiment of the invention; 4 Figure 13 is a plot of predicted swell profiles of tools with different configurations; 6 Figure 14 is a plot of tool measurement data and rescaled test piece measurement data; 8 Figure 15 is a plot of scaling multipliers determined by the method of Figure 11 against 9 ratio of tool component thickness to test piece thickness; 11 Figure 16 is a plot comparing a predicted swell profile of a tool with a measured swell 12 profile; 14 Figures 17A and 17B are respectively perspective and sectional views of a packer sample section in accordance with an embodiment of the invention; 17 Figure 18 shows components of a portable system in accordance with an embodiment of 18 the invention; and Figure 19 is a sectional view of the testing apparatus in accordance with an alternative 21 embodiment of the invention.
1 Detailed Descrirtion of Preferred Embodiments 3 Referring to Figures 4A and 4B, there is shown a test piece, generally depicted at 30, in 4 the form of a planar coupon. The test piece 30 facilitates improved methods of testing swell characteristics, and may be used with apparatus according to embodiments of the 6 invention. The test piece 30 comprises a substrate 32 which acts as a carrier and support 7 for a swellable material 34. The substrate 32 is in the form of a planar disc, having a 8 thickness of approximately 0.12 inches (3.05 mm). The disc is formed from a suitable 9 metal, such as carbon steel. A circular recess 36 is formed in a face 38 of the disc to a depth of approximately 0.085 inches (2.16 mm). The recess 36 is filled with a swellable 11 material 34, which may be any material used in swellable components of oilfield equipment 12 which are designed to increase in volume on exposure to a triggering fluid. In this 13 example, the swellable material is ethylene propylene diene M-class (EPDM) rubber, 14 typically used for forming the swellable mantle in a downhole packer. EPDM rubber increases in volume on exposure to a hydrocarbon fluid, such as produced oil. Other 16 materials which are known to swell in hydrocarbon or aqueous fluids or brines are known 17 in the art and are within the scope of the invention.
19 The substrate 32 is machined, and the test piece 30 is completed in a moulding process.
Figure 5 shows schematically a section through a mould, generally depicted at 40, used to 21 form the test piece 30. The substrate 32 is placed inside a chamber 42 in the mould 40. A 22 bonding agent is applied to the lower surface and side walls of the recess 36, and the 23 uncured swellable material is injected into the recess 36. The mould 40 is assembled and 24 pressure will be applied to the upper surface of the swellable material 34 in order to ensure bonding to the substrate and to form the test piece 30 into the desired shape. Depending 26 on the properties of the swellable material used, heat may be applied to cure the swellable 27 material. The resulting test piece 30 may be finished, for example by machining, to 28 provide an upper surface 37 of the swellable material which is flush with the face 38 of the 29 substrate 32. The test piece is bonded to the substrate on its lower surface and its sides, with one unbonded surface 37. This is comparable to the swellable member of a wellbore 31 packer which will typically bonded to a base pipe on its lower surface and to gauge rings or 32 end rings at the radially extending surfaces at its opposing ends.
34 The test piece 30 is convenient for conducting tests of swell characteristics in an efficient and repeatable manner. The test piece 30 has several advantages over the packer 1 sections 10 of the prior art (and as shown in Figure 1). Notably, the test piece 30 is simple 2 to manufacture. It is compact and uses a small quantity of swellable material. This 3 facilitates the production and storage of large numbers of test pieces 30, optionally with 4 different swellable materials 34. The test piece is portable and facilitates use in compact swell testing apparatus. The substrate provides support to the swellable material and 6 allows consistent production of samples. It is envisaged that for each batch of swellable 7 material delivered to a manufacturer of oilfield equipment, a number of test pieces could 8 be created for testing the swellable characteristics before deployment of manufactured 9 equipment, or stored for use in post-deployment testing.
11 Figure 6 shows a testing apparatus in accordance with an embodiment of the invention.
12 The apparatus, generally shown at 50, is configured for testing a swell characteristic of a 13 swellable material used in oilfield equipment. The apparatus has particular application to 14 testing of the test pieces 30 described with reference to Figures 4A and 4B, but it will be apparent to one skilled in the art that the testing apparatus 50 may also be used with 16 different test pieces.
18 The apparatus 50 comprises a substantially cylindrical body with longitudinal axis A, and is 19 shown in Figure 5 in longitudinal section. The body comprises a base section 52 and a cap section 56, which together define an internal chamber 54. The base section 52 and 21 the cap section 56 are formed from a suitable metal such as stainless steel. The cap 22 section 56 fits onto an annular wall 58 which up stands from the base section 52 to define 23 the internal chamber 54. The apparatus 50 is substantially symmetrical about a 24 longitudinal axis A, with fasteners 64 circumferentially distributed around the apparatus to fix the cap section 56 to the base section 52 and close the chamber 54. The fasteners 64 26 are securing pins which extend through co-aligned bores in the cap section and the 27 annular bore 58, with threaded portions cooperating with thumb screws 66. Other 28 securing means can be used in alternative embodiments of the invention. A central 29 portion 60 of the cap section 56 extends into the inner diameter defined by the annular wall 58. An 0-ring 62 is provided between the upper surface of the annular wall 58 and the 31 lower surface of the cap section 56 to create a fluid seal with the interior of the chamber.
33 The apparatus 50 comprises a transducer 70 extending through a central aperture in the 34 cap section 56 from the outside of the apparatus into the internal chamber 54. In this embodiment, the transducer 70 is an eddy current transducer, such as Micro-Epsilon 1 Group's DT3O1O-A series of sensors. An 0-ring 78 is provided between the transducer 2 body 74 and the cap section 56 to provide a fluid seal with the chamber 54.
4 The apparatus 50 is configured to receive a test piece 30 as described with reference to Figures 4A and 4B in a mounting assembly, generally shown at 79. The test piece 30 is 6 located on a surface of the base section 52 beneath a target plate 80, formed in this case 7 from aluminium. The target plate 80 is mounted to the base section 52 via hexagonal 8 pillars 82, which allow vertical movement of the plate (in the direction of the axis A) but are 9 keyed with the plate to prevent relative rotation. The transducer 70 is located at a distance of approximately 5-10mm from the target plate 80, although the position of the transducer 11 may be adjusted, for example by a micrometer adjuster (not shown), to take account of 12 desired operational parameters of the particular eddy current transducer used.
14 The transducer 70 tracks vertical movement of the target plate through proportional changes in the eddy current between the transducer sensor head 72 and target plate 80 16 as the position of the target plate 80 moves upwards in the direction of the axis A. The 17 transducer 70 outputs this as measurement data via line 76.
19 The apparatus comprises an inlet 84 and an outlet 86 to the fluid chamber 54. The inlet allows delivery of fluid into the chamber 54. The inlet 84 and the outlet 86 are provided 21 with connectors for connection with a suitable fluid delivery system such as a fluid hose. A 22 fluid inlet and outlet allows continual circulation of fluid. This allows a fluid to be 23 exchanged or circulated out of the apparatus during the measurement process, as will be 24 described below. In an alternative embodiment, the fluid outlet may be sealed during use, and the fluid inlet may be in communication with the reservoir to ensure that there is an 26 adequate supply of fluid to the fluid chamber. In other embodiments, the fluid chamber 27 may be filled with fluid prior to commencement of the test, with the fluid supply 28 disconnected and the fluid chamber plugged.
The apparatus 50 is also provided with a thermal regulation system 90. In this 31 embodiment, the thermal regulation system 90 comprises a joule heater 92 disposed in the 32 base section 52 and coupled to a temperature controller 94. The heater 92 allows the 33 apparatus 52 to be operated at elevated temperatures to simulate the conditions in a 34 downhole environment. In other embodiments, the system 90 may include alternative heating and/or cooling elements such as Peltier devices. Optionally, a temperature sensor 1 such as a thermocouple may be provided in the chamber 54 for measurement of the 2 internal temperature of the apparatus. The measured temperature may be fed back to a 3 temperature controller. Insulating cladding may also be provided on the exterior of the 4 apparatus to improve heat retention.
6 In use, the chamber 54 is filled with a fluid and the test piece 30 is exposed to the fluid.
7 Any increase in volume of the swellable material in the test sample 30 due to exposure to 8 the fluid causes the target plate 80 to be displaced vertically. This displacement is 9 measured by the transducer 70, with the measurement signal output from the apparatus via line 76. The apparatus therefore allows regular, automated measurement of the 11 swelling of the swellable material in the test sample. The swell characteristic is measured 12 in situ, while the test sample is exposed to the fluid, and avoids the need for interruption of 13 the test. The apparatus is capable of measuring an increase in thickness of the test 14 sample automatically with no manual intervention by a user. This increases the consistency of the measurement. The transducer is also capable of measuring the 16 increase in thickness with a high degree of precision, reducing errors caused by calliper 17 measurement. The transducer and measurement system may be configured for 18 continuous measurement of the transducer, or measurement at regular sample intervals.
19 This increases the quality of the measurement data.
21 Figure 7 is a sectional view through a mounting assembly 100 of an apparatus in 22 accordance with a preferred embodiment of the invention. The apparatus in which the 23 mounting assembly 100 is located is similar to, and will be understood from the 24 arrangement 50 shown in Figure 6. The transducer 70, fluid chamber 54 and lid section (not shown) are substantially identical to the embodiment of Figure 6. However, the 26 mounting assembly 100 increases the fluid exposure of the test piece 30.
28 Shown in Figure 7 is a part of the base section 152, which is similar to the base section 52 29 of apparatus 50. The base section 152 differs in that it is provided with a recess 156 in its upper surface 154. The recess 156 is sized to receive a porous layer 158, which is formed 31 from a metallic mesh material. An annular ledge 159 is provided around the perimeter of 32 the recess 156 and supports the porous layer 158 above the bottom of the recess. The 33 porous layer 158 provides a support for the test piece 30. The mesh of the porous layer 34 provides a network of pores which allow fluid flow through the layer 158 and around the recess 156.
2 As with the embodiment of Figure 6, the target plate 180 is mounted on hexagonal pillars 3 82 which permit vertical movement of the support plates, but prevent relative rotation.
4 The target plate 180 is provided with a similar recess 162 on its lower surface 160. The recess 162 is sized to receive a porous layer 164, which is supported from the base of the 6 recess 162 by an annular ledge 166. The arrangement allows fluid communication from 7 the fluid chamber 54 to the recess 162, via the porous layer 164. The upper surface of the 8 swellable layer 34 is therefore exposed to fluid in the support layer 64 and recess 162, and 9 the recesses and porous layers provide a complete fluid circulation path around the test piece, improving fluid access to the swellable material 34.
12 In an embodiment of the invention, the apparatus of Figures 6 and 7 is used as follows.
13 The test piece 30 is located in the fluid chamber 54, and the fluid is delivered to the 14 chamber via the inlet 84. The test piece 30 and the swellable material 34 in fluid communication with the fluid in the chamber, and depending on the nature of the swellable 16 material and the type of fluid, this exposure may trigger a change in volume of the 17 swellable material 34. An increase in volume will be manifested as a change in thickness 18 and thus the upper surface of the swellable material 34 will impart a force on to the target 19 plate, which in turn will be measured by the eddy current transducer 70. Changes in thickness are therefore detected by the transducer, and the measurement signal can be 21 output as a time series via line 76. The time series data is recorded in a data storage 22 means in communication with the apparatus, which forms part of a personal computer.
23 Alternatively, or in addition, the data may be directly output to a display to a user. The 24 apparatus and method therefore enables a series of measurements of the thickness of the swellable material over time to be collected.
27 A typical measurement data set is plotted in Figure 8, with the change in thickness is 28 plotted as a percentage of the initial thickness (i.e. TIT, where T is the initial thickness 29 and T is the cumulative change in thickness). The plot shows an initial increase of the thickness of the material during hours 0 to 5 at a relatively fast rate, with a gradual 31 reduction of the rate of change during hours 5 to 15 and a levelling off from approximately 32 hour 16.
34 The testing apparatus described above is configured for the measurement of thickness data by using a contactless eddy current transducer 70 to measure the vertical 1 displacement of a target plate. In an alternative embodiment, the testing apparatus is 2 configured for measurement of a pressure exerted by a support plate on a transducer.
3 Figure 9 is a cross-sectional view of a part of an apparatus 150 in accordance with such 4 an alternative embodiment of the invention. The testing apparatus 150 is similar to the testing apparatus 50, with like-parts indicated by like-reference numerals. However, the 6 apparatus differs in the nature of the transducer, which in apparatus 150 is a pressure 7 transducer 170 which is located at a fixed distance h above the target plate 180 when the 8 test piece 30 is in an unswelled condition. An example of a suitable transducer is Impress 9 Sensors & Systems Limited's DMP 343 low pressure transducer. The distance h is selected to correspond to a separation distance between the outer surface of a swellable 11 component of a tool before swelling and the surface with which it seals (i.e. the swelling 12 distance before contact). In the case of a swellable packer, this is the radial depth of the 13 annular space between a swellable tool and a surrounding wall.
As an example, a swellable packer having an initial mantle thickness of 0.6275 inches 16 (about 15.9mm), may be configured to run on a base pipe or mandrel with outer diameter 17 of 4.5 inches (about 114.3mm), in a wellbore having inner diameter of 6.125 inches (about 18 155.6 mm). The annular space between the mandrel and wellbore therefore has a radial 19 distance of 0.8125 inches (about 20.6 mm), and the required change in thickness of the swellable mantle for wellbore contact is 0.1875 inches (about 4.8 mm) or around 30% of 21 the original thickness of the swellable mantle. For the test configuration of Figure 9, the 22 separation distance of the support plate and the pressure transducer is calculated in 23 proportion. If the initial thickness of the swellable material 34 is 0.080 inches (about 2.0 24 mm), the distance h is 0.024 inches (about 0.6 mm) for an equivalent thickness change of 30%. The distance h is configurable in the testing apparatus.
27 In use, the test piece 30 is exposed to a fluid delivered to the chamber. The fluid triggers 28 an increase in volume of the swellable material 34 and a vertical displacement of the target 29 plate. When the support plate has displaced by distance h, it is brought into contact with the transducer and exerts pressure on the transducer. The pressure is measured and 31 output via line 76. The data may be output as a time series of measured pressure data.
32 Continued swelling of the swellable material will tend to increase the pressure on the 33 transducer, until further swelling of the material is prevented by a back pressure from the 34 transducer. The point at which the test sample exerts a maximum pressure on the transducer (which corresponds to the pack-off time) can be determined from the 1 measurement data.
3 Figure 10 is a typical plot of pressure data versus time using the testing apparatus of 4 Figure 9. Between a time oft = 0 and t = t1, the pressure measured by the pressure transducer is zero, because the support plate has not been brought into contact with the 6 transducer 170. At time t1, the plate 180 has moved to the distance h, and the plate 7 contacts the transducer. As the swellable material of the test piece continues to swell, the 8 pressure transducer measures an increase in pressure between times t1 and t2. The rate 9 of increase of pressure reduces, until at t2, a maximum pressure, Pmax has been reached: t2 therefore represents the pack-off time described above. In practice, it may be preferred 11 to calculate a "guaranteed pack-off time" which is greater than t2. A guaranteed pack-off 12 time may be calculated by multiplying t2 by a factor (for example 1.5) or adding a minimum 13 additional time to t2.
Measurement data sets collected by the swell tests described above may be used to 16 predict a swelling characteristic of a swellable component of downhole equipment. For 17 example, the test piece data may be compared with measurement data from the swelling 18 of a packer or packer section to derive a relationship between the swelling rates of the test 19 piece and the packer. The relationship can then be used to predict the swell characteristics, such as the contact time and the maximum pressure) of the packer. Data 21 from a new test on a test piece, for example using a fluid sample recovered from a 22 wellbore, can be input into the derived relationship in order to calculate the predicted swell 23 characteristics of the packer.
Figure 11 is a block diagram which schematically shows a method 200 for collecting test 26 data for use in analysis of swelling characteristics. In step 210 a test piece measurement 27 data set is collected from a test piece exposed to a reference fluid, using the method and 28 apparatus described above. In step 220, a tool measurement data set is collected by 29 exposing a tool, or a sample section of a tool, to the same reference fluid used in step 210.
It should be noted that in step 220, the tool measurement data set need not be 31 measurement of data of the complete tool itself, but may be a measurement of the swell 32 characteristics of a sample section generally considered to correspond to the swell 33 characteristics of the tool, for example the sample packer section described with reference 34 to Figure 1. In this embodiment the tool is a swellable packer, and the tool measurement data set is collected by measuring a packer section as described with reference to Figure 1 1.
3 The respective measurement data sets are stored in a database 230 as time series of 4 measurement data. As described above, the measurement data may be thickness data or pressure data, or a combination of the two. In step 240, the measurement data sets are 6 compared, using any of a number of conventional statistical techniques. The comparison 7 may be performed using software on a personal computer or in a dedicated processing 8 module. In step 250 a relationship between the swell profile of the test piece in the 9 reference fluid and the swell profile of the tool in the reference fluid is determined from the comparison of data. The determined relationship is stored in a database, for later use in 11 predicting the swelling characteristics of a tool.
13 One example of a relationship between a test piece data set and tool data sets is by a 14 numerical time domain scaling multiplier S. Such a multiplier may be applied to a time value of the test piece swell data, such that the swell profiles match one another. Such an 16 operation is equivalent to rescaling the time axis for a plot of the percentage thickness 17 change against the time value data. Time domain scaling multipliers may be calculated by 18 any of a number of statistical or numerical processing techniques. One simple method 19 involves optimising the scaling multiplier to minimise a difference between the scaled and unscaled time series. Any of a number of different optimisation techniques may be used.
21 One simple method includes the steps of: setting a starting value to a time domain scaling 22 multiplier; applying it to time values of the test piece data for each data point; replotting the 23 thickness change data for the test piece against the rescaled time axis; calculating a 24 difference between the respective swell profiles of the rescaled test piece data and the tool data; and perturbing the time domain scaling multiplier. The new time domain scaling 26 multiplier is applied to the time values of the test-piece data for each data point, and the 27 thickness change data for the test piece is replotted against scaled time axis. A difference 28 between the respective swell profiles of the rescaled test piece data and the tool data is 29 cacluated, and compared with the previously calculated difference. The process can be repeated until the difference between the respective plots is minimised.
32 Figure 12 is a block diagram which schematically shows a method 300 that uses a 33 determined relationship from the method 200 to predict the swell characteristics of a 34 swellable component or swellable tool. In step 310, a fluid sample is selected and provided in the test apparatus 50. This may be an actual fluid sample from the wellbore 1 environment in which a tool is planned to be deployed. Alternatively, it may be a fluid 2 representative of the fluid in the wellbore environment, for example a synthesised fluid to 3 approximate the fluid conditions expected in the wellbore. It may also be a combination of 4 fluids, and may be a number of separate volumes of different fluids to which the test piece will be exposed during different parts of the test, as will be described in more detail below.
7 The test piece is subject to the test in step 320 as described with reference to Figures 6, 7 8 and/or 9 above, and the test piece measurement data is output as a time series and 9 recorded in a data storage apparatus 330. Optionally, a display representative of the swell characteristic from the measurement data set may be generated and displayed to a user.
11 For example, the test piece swell profile can be displayed to a user in real time via a 12 graphic display (not shown).
14 The test piece data set is then used in step 340 to calculate the predicted swell profile of one or more tools. This is carried out by applying to the measured test piece data the 16 relationship between a test piece swell profile and a tool swell profile determined using the 17 method of 200. This may be for example the time domain scaling multiplierS, as 18 described above. Synthetic tool datasets 350, 360 are generated for each tool design for 19 which a relationship (or multiplierS) has been determined. Each synthetic tool dataset represents the predicted swelling behaviour of the respective tool in the sample fluid.
21 Swelling profiles can be output as a time series of swell data to a data storage apparatus 22 330, and/or can be displayed (step 370) to a user via graphical display. The information 23 can be used to generate (at step 380) a report on the swelling behaviour of the specific 24 tool designs in the sample fluid. For example, the report may include a predicted contact time for a swellable packer and/or a predicted pack-off time. In certain embodiments of 26 the invention, the report also provides an expected pack-off pressure, which may be used 27 in conjunction with information on the surface area of the packer and the expected co- 28 efficient of friction with the surrounding wall, to derive information representative of the 29 pressure capability of the packer.
31 Optionally, the method may include the additional steps of selecting or recommending a 32 particular tool design, according to desired swell parameters input into the system at step 33 390. For example, an operator may input a maximum initial outer diameter of a packer, 34 and may specify a minimum contact time. Alternatively, a user may specify a fixed base pipe size, and/or may require that the tool must have a pack-off time not greater than a 1 particular value. The system is capable of providing a synthetic swell profile data for a 2 number of specific tool designs in a sample fluid, and then assisting a user with the 3 selection of the tool design for the specific application.
Figure 13 shows the predicted swell profiles of a number of different tool designs 6 calculated using the method 300. Plot A shows schematically the predicted swell profiles 7 for three wellbore packers having the same initial outer diameter of the swellable mantle, 8 and different size base pipes. The Figure shows graphically how the method can be used 9 to select or eliminate particular tool configurations (which in this case are base pipe diameters) depending on constraints on swelling time and/or final OD of the packer.
12 The method 200 can be repeated to obtain a number of different time domain scaling 13 multipliers S for different tool configurations. It is then possible to determine a relationship 14 between the time domain scaling multipliers and various parameters of the tool configuration. For example, a relationship can be derived which describes the 16 dependence of time domain scaling multipliers on the ratio of test piece thickness to test 17 packer element thickness, by plotting calculated scaling multipliers against the ratios of the 18 packer swellable mantle thickness T to the thickness of the test piece T. Using standard 19 statistical techniques, it is possible to determine a relationship, for example a quadratic relationship in the form 22 S = aR + bR-c (Equation 1) 24 where R is TIT, between the scaling multiplier S and the tool parameters.
26 The invention therefore provides a method by which swell profile information for a 27 proposed new packer size can be obtained on the basis of the derived relationships and 28 the measurement data from a test piece. For the proposed packer design, the appropriate 29 time domain scaling multiplier can be derived from of the ratio of the test piece thickness and the thickness of the swellable member in the packer. This is then applied to the swell 31 test data measured from a test piece to obtain a predicted swell profile of the packer 32 design.
34 The techniques described above can be applied to a measurement of pressure exerted by the swellable member during an increase in volume. Again, the time series pressure data 1 are collected for a test sample, and compared with the time series of pressure data 2 collected using the conventional testing of a packer section to derive a relationship 3 between the swelling profiles.
One specific example of the method 200 of the invention is described here. In this 6 example, a test piece 30 was tested using the apparatus 50 in order to obtain a time series 7 of test piece data which corresponds to thickness changes of the swellable material. The 8 test piece 30 was exposed to a fluid sample selected to approximate the fluid encountered 9 in the wellbore into which it is planned to run a packer. The temperature of the fluid was maintained at a constant 80°C.
12 A wellbore packer sample section, similar to section 10 shown in Figure 1, was placed in a 13 fluid bath containing the same reference fluid, also maintained at a temperature of 80°C.
14 The sample section was a packer section having a 4.5 inch (about 114.3mm) base pipe with a swellable mantle which had an outer diameter of 5.5 inches (about 146.1 mm).
16 Measurements were taken manually using a calliper gauge over a period of days to obtain 17 a tool measurement data set. The test piece data set and the tool data set were 18 compared, and it was determined that the data provided a good match when the test piece 19 data had applied to it a time domain scaling multiplier S of 35. In other words, for each data point, a multiplier of 35 was applied to the time value at which the measurement was 21 taken before plotting on the same scale as the tool measurement data. Figure 14 plots a 22 percentage thickness change against time for the tool (dashed line) and the percentage 23 thickness change of the test piece versus a scaled time, after the time domain multiplier of 24 35 is applied. The plot shows a close match between the respective plots. The method 200 has therefore been used to determine a relationship between the swelling 26 characteristics of a test piece 30 and the swelling characteristics of a sample section of a 27 packer.
29 The method 200 was repeated for a number of sample sections of packer elements having different dimensions. In a second example, the test piece data was compared with a data 31 set measured from a sample section of a packer element having a base pipe of 5.5 inches 32 (about 139.7mm) and a swellable mantle with an initial outer diameter of 8 inches (about 33 203.2mm). A comparison of the data sets revealed that a time domain multiplier of 120 led 34 to a correspondence of the swelling profiles.
1 Similar tests were carried out on a number of different packer configurations, with the 2 results as shown in Table 1.
4 Table 1
Packer Base pipe Mantle OD Actual Mantle Test Piece TIT Scaling configuration OD (inches) (inches) Thickness T Thickness T Ratio Multiplier (inches) (inches) 7.00 x 8.00 7.00 8.00 0.50 0.08 6.24 20 7.00 x 8.15 7.00 8.15 0.58 0.08 7.24 30 4.50 x 5.75 4.50 5.75 0.64 0.08 7.98 35 4.50 x 5.85 4.50 5.85 0.68 0.08 8.50 39 6.625 x 8.15 6.625 8.15 0.77 0.08 9.61 52 5.50x8.00 5.50 8.00 1.26 0.08 15.73 120 5.50x8.15 5.50 8.15 1.33 0.08 16.60 135 7 The numbers in the first column indicate the packer configuration in notation commonly 8 used in the industry. The outer diameter (OD) of the base pipe and the outer diameter of 9 the swellable mantle are given in inches in columns two and three respectively. The fourth column specifies the actual thickness of the test packer element in inches, as 11 measured. This is the radial thickness of the swellable mantle T, which represents 12 approximately half of the difference between the dimensions in columns two and three, 13 with the differences due to engineering tolerances. In all cases, the test coupon thickness 14 T was 0.08 inches (column five). The ratio of the radial thickness of the swellable mantle T and the test coupon thickness T is given in column six, and the derived scaling 16 multiplier, which provides a suitable concordance between the swell profile of the test 17 piece and the swell profile of a packer element, is given in column seven.
19 From the calculation of the time domain scaling multipliers for different ratios of test coupon to test packer element thickness, it a relationship was determined between the 21 time domain scaling multipliers and the ratios. The calculated scaling multipliers were 22 plotted against the ratios of the packer swellable mantle thickness T to the thickness of 23 the test piece T, with the results shown in Figure 15. Using standard statistical 24 techniques, a relationship between the scaling multiplier and the thickness ratio was determined to be: 2 S = O.2765R2 + 4.5989R -18.94 (Equation 2) 4 where S is the scaling multiplier and R is the ratio T/T.
6 An appropriate scaling multiplier for the time domain S can now be determined from this 7 relationship for a new proposed packer design, on the basis of the ratio of the test coupon 8 thickness and the thickness of the swellable member in the packer, even where no 9 previous swelling test has been performed on that packer configuration. This is then applied to the swell test data measured from a test piece to obtain a predicted swell profile 11 of the packer design.
13 Figure 16 is a plot of measured data from a tool test and synthetic data for the same tool 14 design calculated using the method 300. In this example, sample packer section tested had a pre-swollen element OD of 5.755 inches (about 146.2 mm) and a base pipe OD of 16 4.5 inches (about 114.3 inches). The test piece has a rubber thickness of 0.080 inches 17 (about 2mm). This means the T/T ratio R is about 7.84, which when input into Equation 18 2 gives a time domain multiplier S of about 34.14. This is the time domain multiplier that 19 is applied to the test piece measurement data to accurately portray the packer swell profile. The plot shows a high level of concordance with the predicted swell profile, shown 21 by the dashed line D, and the actual measured swell profile, shown by the line E. 23 The present invention also allows the simulation of different wellbore conditions. For 24 example, during different periods of a swell test, the temperature of the test piece and/or fluid can be varied. The temperature of the test piece could begin at an ambient surface 26 temperature (for example 20°C) and be gradually increased to simulate an increase in 27 temperature experienced by a swellable packer as it is run to a downhole location and as it 28 is exposed to wellbore fluids. The temperature could be changed rapidly for periods of the 29 test, which may for example simulate the exposure of a packer to a different, cooler fluid (such as an injected fluid stream). Optionally, a temperature sensor such as a 31 thermocouple is provided in the interior of the fluid chamber, or in thermal contact with the 32 test sample. The signal from the temperature sensor may be fed back to the temperature 33 controller. The thermal regulation system 90 may operate in a simple power control mode 34 (similar to a thermostat) or in a continuous variation mode.
1 The test apparatus also allows different fluids to be circulated passed the test piece during 2 the test. This offers another mechanism for changing the temperature inside the testing 3 apparatus. For example, a fluid at a temperature of 90°C may be replaced with a fluid at a 4 temperature of 15°C for a two hour period of the test. The measurement data will be continually to be sampled during the change in temperature.
7 A fluid of a different nature can be circulated in the testing apparatus. For example, the 8 early stages of a test may expose the test sample to an aqueous fluid or brine, with a later 9 stage of the test exposing the test sample to a drilling fluid or wellbore clean-up fluid.
Subsequent stages of the test may expose the test sample to hydrocarbon fluids such as 11 are typically be encountered in the production system. Numerous variations are possible 12 within the scope of the invention. The invention allows the simulation of wellbore 13 conditions likely to be encountered by a typical downhole apparatus. The conditions may 14 be pre-programmed into the apparatus to automatically simulate a fluid circulation schedule for a particular well. Throughout the process, the measurement data is 16 continually taken. Thus the effect on swelling characteristics can be predicted to obtain a 17 swelling profile for the wellbore conditions a tool will experience. A long period of 18 exposure to a hydrocarbon fluid could be interjected with exposure to an aqueous fluid 19 (which may be at a lower temperature) to simulate the injection of a fluid into the wellbore from surface. During such simulation programmes, due account must be given to the time 21 domain relationship between the swell profile of the test piece and swelling profile of the 22 packer, for example by dividing the typical time for which the packer would be exposed to 23 a particular ftuid in a wellbore operation by the time domain scaling multiptier to obtain a 24 time for which the test piece should be exposed to that fluid during the test.
26 The above-described embodiments of the invention relate the swelling characteristics of a 27 test piece with swelling characteristics of a sample packer section 10 which is 28 representative of the swelling of a swellable wellbore packer. Figures 1 7A and 1 7B 29 illustrate an alternative sample section which may be used with certain embodiments of the invention. The sample section, generally depicted at 400, comprises a cylindrical base 31 pipe 402 formed from a metal such as steel. Machined into the outer surface of the base 32 pipe are annular recesses 404, 406. Recess 404 is formed to a first depth, and recess 33 406 is formed to a second depth, greater than the first depth. Located in the recesses is 34 swellable material selected to increase in volume on exposure to the welibore fluid, which in this case is EPDM rubber. The swellable material creates swellable bodies 408 and 410 1 which fill the recesses to provide an outer surface 412 which is flush with the surface of the 2 pipe 402. The swellable bodies are bonded to the pipe 402 on their lower surfaces and on 3 the radially extending side walls of the recesses.
The sample section 400 has certain advantages over the sample section 10 of the prior 6 art. Firstly, the swellable bodies have a swelling behaviour which more closely resembles 7 the swelling of a swellable member of a wellbore packer. By bonding the lower and side 8 surfaces of the swellable bodies onto the base pipe, the swellable bodies resembles the 9 form of a swellable packer, which is typically bonded on its lower surface to a base pipe, and to gauge rings or end rings which are upstanding from the base pipe to abut the 11 radially extending surfaces which define the ends of the swellable member. In contrast, 12 with the sample section 10, the ends of the swellable member 12 are exposed to the 13 wellbore fluid, which increases the surface area to volume ratio at the opposing ends of 14 the sample section 10 and creates non-uniform swelling which is not characteristic of a typical wellbore packer configuration. The sample section 400 thus more closely 16 resembles the structure of a typical wellbore packer. Forming the swellable bodies in 17 annular recesses also provides advantages in the manufacturing process. The swellable 18 material which makes up the swellable bodies can be applied, moulded, compressed and 19 bonded into the recesses, and the outer surface of the bodies can be easily machined to be flush with the outer diameter of the pipe 402.
22 The recesses 404 and 406 are formed to different depths, to form corresponding swellable 23 bodies 408, 410 with different thicknesses. This facilitates the simultaneously testing of 24 swellable bodies which correspond to packers of different dimensions. Although two recesses are formed in the sample section 400, a single recess may be provided in an 26 alternative embodiment, and other embodiments may comprise three or more recesses.
27 Different recesses may be formed with different depths and/or shapes, and the swellable 28 bodies with different swellable materials may be provided in different recesses on the 29 same sample section. It will also be appreciated that the sample section may be formed on a solid mandrel, in place of the base pipe 402. The mandrel or base pipe may be 31 provided with formations to facilitate handling of the sample section.
33 The invention also contemplates that a measurement data set could be obtained from a 34 full scale trial of downhole equipment. For example, a full scale packer could be deployed in a test bore, with regular outer diameter measurements taken in order to provide reliable 1 measurement data.
3 A preferred embodiment of the invention is configured as a system of portable apparatus, 4 as shown in Figure 18. The system 500 comprises an apparatus 50, an auxiliary unit 510, and a portable computer 520, and a case 530. The auxiliary unit 510 contains a power 6 supply for the apparatus 50, and an interface for data input to and output from the 7 apparatus 50 and the computer 520. The power supply in this example is a mains 8 adaptor, although in other embodiments it may comprise a battery pack to increase 9 portability. A data logger and microcontroller are also included in the auxiliary unit. The case 530 is configured to house the apparatus 50 and the auxiliary unit 510, and 11 comprises receptacles 532, 534 for test pieces 30 and fluid sample containers 536. The 12 portable computer is capable of analysing and displaying data from the auxiliary unit, and 13 may also be used to configure the operation of the system. However, the system may be 14 left to run without being connected to the portable computer 520.
16 The invention in this aspect allows the apparatus to be taken to a site, such as an offshore 17 location or laboratory, for performance of the methods of the invention. The apparatus 18 may be used to test the swell profile of a test piece in a fluid sample extracted from a 19 wellbore at the drill site. It may be used to demonstrate performance of a particular swellable tool configuration at a client site.
22 Figure 19 shows a testing apparatus in accordance with a further alternative embodiment 23 of the invention, which may be used as an alternative or in addition to the testing 24 apparatus of Figures 6, 7 or 9. The apparatus, generally shown at 500, is configured for testing the swell characteristic of a swellable material used in oilfield equipment. The 26 apparatus 500 is similar to and will be understood from the apparatus 50 of Figure 6, 27 although differs in various structural and functional features as will be described below.
29 The apparatus 500 comprises a substantially cylindrical body comprising a base section 502 and a cap section 506, which together define the internal chamber 504. The base 31 section 502 and the cap section 506 are formed from a suitable metal such as aluminium 32 or an aluminium alloy. The body is shaped and sized to be accommodated in a recess 33 508 in an aluminium block heater 510. The cap section 506 is fixed to the base section 34 502 to close the chamber 504. A central aperture 512 in the cap section 506 accommodates an eddy current transducer 514, which extends through the cap section 1 into the fluid chamber 504. The eddy current transducer is for example a Micro-Epsilon 2 group DT3O1 0-A series sensor.
4 The apparatus 500 comprises a mounting arrangement 516 for a test piece 530. The test piece 530 is similar to test piece 30 and will be understood from Figures 4A and 4B and 6 the corresponding description. However, the test piece 530 differs in that the substrate 7 532, which acts as a carrier and support for the swellable material 534, is formed from 8 aluminium. A recess 536 formed in the face of the disc is filled with a swellable material 9 534. In this embodiment, the swellable material 534 is not moulded into the recess 536.
Rather, the swellable material is a piece of material punched, machined, or cut from a 11 larger body of swellable material. The swellable material 534 is bonded to the substrate 12 532 on its lower surface and its sides, leaving one exposed surface.
14 In the previous embodiments, the mounting arrangement 516 included a plate which was moved by the swelling of the test piece, with the position of the plate (or contact pressure 16 in the case of the embodiment of Figure 9) measured by the transducer. However, in this 17 embodiment, the test piece 530 is mounted in an inverted orientation, with the substrate 18 532 uppermost, and the swellable material 534 lowermost. The test piece 530 is 19 supported on a support member 518, which in this case includes a plurality of needle points 520. The needle points 520 provide a number of point contacts for the test piece, 21 while still allowing fluid circulation and sufficient exposure of the test piece 532 to fluid in 22 the chamber 504.
24 In use, fluid present in the chamber contacts the swellable material 534 and causes an increase in volume. This increase in volume imparts an upward force on the test piece 26 532, moving the substrate towards the transducer 514. The transducer measures the 27 displacement of the substrate 532 and the measurement data is recorded.
29 Omitting a separate plate from the design simplifies the apparatus, reducing its cost and weight and improving its portability. The mounting arrangement 516 is preferable to using 31 of a mesh or porous support for the test piece in some circumstances. For example, 32 water-swellable elastomers such as those including Super-Absorbent Polymers (SAPs) 33 may exude a residue which has a tendency to block pores in a porous or mesh-like 34 support, reducing fluid access and diminishing the quality of the data. The mounting arrangement 516 offers the advantage that any substance which exudes from the 1 swellable material 534 will pass into the fluid in the chamber 504.
3 In the foregoing description, the invention is described in the context of testing swellable 4 packers. However, it will be appreciated by one skilled in the art that the principles of the invention may be used wherever swellable components are employed in downhole 6 environments. For example, swellable components are used in a variety of seals, anchors 7 and centralisers. Use of swellable components has also been proposed in downhole 8 actuation mechanisms, valves and flow stemming members. Using the principles of the 9 invention, a relationship may be determined between the swelling of a test piece, and the swelling of a swellable component having a particular configuration. This can then be 11 used to predict the swelling profile of the tool in specific fluids, and may be extended to 12 predict the swelling configuration of components having different dimensions and/or 13 configurations.
The principles and techniques of the invention may also be used in applications to testing 16 of oilfield components and apparatus which are used downhole, and which are not 17 specifically designed to swell. For example, elastomeric materials which are used 18 downhole in a wide range of apparatus, such as 0-ring seals and components of downhole 19 pumps, may be selected to avoid or limit the swelling due to fluid exposure where an increase in volume is detrimental to the performance of the apparatus. The invention in its 21 various aspects may therefore be applied to testing and/or predicting the swelling 22 characteristics of components and materials to enable the design and/or specification of 23 oilfield apparatus to mitigate against undesired swelling.
In embodiments described above, the apparatus 50 comprises an eddy current transducer.
26 It may be advantageous to use eddy current transducers with fluids at high temperatures 27 or large variations in temperature. Other transducer types may be used in alternative 28 embodiments. For example non-contacting transducers such as optical, laser and 29 capacitive transducers may be used. In another example, a contacting linear transducer capable of measuring displacement of a piston relative to a body is used. One suitable 31 linear transducer 70 is a contacting linear transducer sold by Positek Limited with product 32 reference number P103. The transducer is in contact with a support plate which moves 33 upwards in the direction of the axis A on swelling of the swellable material, and outputs the 34 displacement measurements as measurement data.
1 The methods described above make the assumption that the relationships between the 2 swelling characteristics of a test piece and the swelling characteristics of a tool in a given 3 fluid depends on the relative geometry of the tool, and are not dependent on the fluid.
4 However, for a particular tool design, the test can be repeated in a number of different fluids or the same fluid at different activation temperatures. In each case, the test piece 6 measurement data and the tool measurement data are collected from tests carried out in 7 the same format (i.e. the same reference fluids and test temperatures).
9 If any variations in the swelling profile of test pieces in different fluids are apparent, they can be recorded in the database, for example as separate time-series. When predicting 11 the swelling characteristics in a particular wellbore fluid, data from tests performed with an 12 appropriate fluid (i.e. one with similar composition) can be used. For example, a time- 13 domain scaling multiplier may be selected from a test performed using the closest match 14 of fluid type recorded in the database.
16 Variations in the swelling profile of test pieces in the same fluid at different temperatures 17 may also be apparent, particularly in the case of water-swelling elastomers and "hybrid" 18 elastomers which swell in aqueous and hydrocarbon fluids. An increase in temperature 19 may increase the maximum swell volume ratio and may also increase the swell rate, reducing the contact time and/or pack-off time. In such circumstances the method may 21 include performing multiple swell-tests at different temperature conditions and deriving a 22 relationship between the swelling characteristics of a test piece and the swelling 23 characteristics of a sweUable component which is temperature dependent. One simple 24 method is to calculate time-domain scaling multipliers in the manner described above for multiple different temperature tests and to plot the results against temperature to derive a 26 relationship between the temperature and the multiplier. For given wellbore conditions 27 with a known temperature, an appropriate time scale multiplier may be selected for 28 predicting the performance of a swelling component based on test-piece measurement 29 data.
31 In another simple example method, the maximum swelling volume may be determined 32 from multiple different temperature tests with the results plotted against temperature to 33 allow derivation of a relationship between the temperature and the maximum swelling 34 volume. This allows determination of swell volume scaling multipliers, which may be applied to the swell volume data to normalise the data for different temperature conditions.
1 For given wellbore conditions with a known temperature, the normalised or rescaled 2 volume data can be used in conjunction with the time-domain scaling multiplier in the 3 manner described above to predict the performance of a swelling component based on 4 test-piece measurement data.
6 The invention provides a method and apparatus for use in testing the swell characteristics 7 of swellable components used in downhole exploration or production equipment, such as 8 swellable packers. A method of measuring a test piece using a testing apparatus with a 9 fluid chamber and a transducer is described. Measured data can be compared with data measured from a sample section of a tool to determine a relationship between swell 11 characteristics. The determined relationships can then be used to calculate or predict 12 swelling characteristics of swellable components, for example particular packer designs, in 13 specific fluid samples.
Variations to the above-described embodiments of the invention are within the scope of 16 the invention, and the invention extends to combinations of features other than those 17 expressly claimed herein.
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