CN108509675A - It is a kind of with boring density log to the computational methods of hole diameter and gap - Google Patents
It is a kind of with boring density log to the computational methods of hole diameter and gap Download PDFInfo
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- CN108509675A CN108509675A CN201810125774.5A CN201810125774A CN108509675A CN 108509675 A CN108509675 A CN 108509675A CN 201810125774 A CN201810125774 A CN 201810125774A CN 108509675 A CN108509675 A CN 108509675A
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- 238000000205 computational method Methods 0.000 title claims abstract description 9
- 230000015572 biosynthetic process Effects 0.000 claims description 10
- 238000005755 formation reaction Methods 0.000 claims description 10
- 241001074085 Scophthalmus aquosus Species 0.000 claims description 5
- 238000002474 experimental method Methods 0.000 claims description 4
- 238000000342 Monte Carlo simulation Methods 0.000 claims description 3
- 238000004458 analytical method Methods 0.000 claims description 3
- 238000012417 linear regression Methods 0.000 claims description 3
- 238000005259 measurement Methods 0.000 abstract description 14
- 238000012423 maintenance Methods 0.000 abstract description 4
- 238000013461 design Methods 0.000 description 9
- 238000000034 method Methods 0.000 description 6
- 238000005553 drilling Methods 0.000 description 3
- 230000000694 effects Effects 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 238000002604 ultrasonography Methods 0.000 description 2
- 229920002472 Starch Polymers 0.000 description 1
- 238000007792 addition Methods 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 239000004568 cement Substances 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 238000011157 data evaluation Methods 0.000 description 1
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- 238000012545 processing Methods 0.000 description 1
- 235000019698 starch Nutrition 0.000 description 1
- 239000008107 starch Substances 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B47/00—Survey of boreholes or wells
- E21B47/12—Means for transmitting measuring-signals or control signals from the well to the surface, or from the surface to the well, e.g. for logging while drilling
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B49/00—Testing the nature of borehole walls; Formation testing; Methods or apparatus for obtaining samples of soil or well fluids, specially adapted to earth drilling or wells
- E21B49/005—Testing the nature of borehole walls or the formation by using drilling mud or cutting data
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2111/00—Details relating to CAD techniques
- G06F2111/10—Numerical modelling
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Abstract
The invention discloses a kind of with density log is bored to the computational methods of hole diameter and gap, belongs to oil reservoir logging technical field, specifically comprises the following steps:X is sought firstLAnd XLFunctional relation;Next seeks gap size tm;Finally seek wellbore radius D.The present invention can cover the measurement blind area using ultrasonic measurement hole diameter in the range of calculated gap, and also wider than ultrasonic measurement gap and hole diameter for the scope of application of mud;In addition, from the point of view of engineering, the present invention solves the problems such as inconvenient maintenance of ultrasonic instrument, maintenance cost are high and instrument expense is very expensive.
Description
Technical field
The invention belongs to oil reservoir logging technical fields, and in particular to a kind of calculating with brill density log to hole diameter and gap
Method.
Background technology
In well logging, the variation of hole diameter (borehole size) affects Instrument measuring precision, is not only to eliminate porosity
It logs well, the important parameter of litho-density log wellbore effect, the cement amount needed for the well cementation of hole diameter data-evaluation can also be utilized, it is fixed
The position of slit band, reflects to visual pattern the contracting occurred in borehole wall stability, such as drilling process during the oil exploitation of position
Diameter, landslide bit freezing, wellbore expansion etc..Traditional cable well logging is that caliper logging is carried out after drilling well is complete, in the process that instrument rises
Borehole size is measured by the backup arm contact borehole wall.And well logging is that underground letter is measured in the rotation progradation of drilling well
Breath, this has prodigious difference with the apparatus structure and form of construction work of wireline logging and in measuring environment, therefore with brill
It surveys borehole measurement borehole size and needs contactless measurement method.
Currently, usually using ultrasound wave calliper logging in well logging, using the ultrasonic echo time difference determine instrument with
Borehole wall distance simultaneously calculates hole diameter size, but the increase of mud balance can make ultrasonic signal decaying serious, and the reliability of measurement is just
It can decline, therefore conventional measurement technology is only applicable in mud balance and is less than 1.3g/cm3Condition, and mud balance be more than 1.3g/
cm3Under conditions of the reliability that measures it is very poor.In addition, ultrasonic wave caliper is popped one's head at work and Instrument shell will produce aftershock
And the electric current moment of circuit can make by force apparatus measures generate blind area, the measurement of present ultrasonic wave caliper very much when ultrasonic reflections
Blind area is substantially within 3cm.This reduces the precision of the parameter measurements such as density, neutron porosity.Therefore ultrasound is utilized
There are significant limitations for wave measurement hole diameter.
Invention content
For the above-mentioned technical problems in the prior art, the present invention propose it is a kind of with bore density log to hole diameter and
The computational methods in gap, reasonable design overcome the deficiencies in the prior art, have good effect.
To achieve the goals above, the present invention adopts the following technical scheme that:
It is a kind of with bore density log to the computational methods of hole diameter and gap, specifically comprise the following steps:
Step 1:Seek mud flexible strategy XLAnd XLFunctional relation specifically comprises the following steps:
Step 1.1:Using Monte Carlo simulation to being simulated with brill density log, remote density p is obtainedfar, density of earth formations
ρb, mud density ρmAnd gap size tmValue;
Step 1.2:Utilize formula XL=(ρb-ρfar)/(ρb-ρm), calculate XLValue;
Step 1.3:Change gap size tm, density of earth formations ρbWith mud density ρm, many experiments are carried out, scatterplot group is obtained
Close (XL1, (ρb-ρm)2, tm1)、(XL2, (ρb-ρm)2, tm2)……(XLi, (ρb-ρm)i, tmi), wherein i is pendulous frequency;
Step 1.4:Obtain XL=f (ρb-ρm, tm) functional relation;
Step 2:Seek gap size tm, specifically comprise the following steps:
Step 2.1:By XL=f (ρb-ρm, tm) functional relation deformed to obtain tm=g (XL, ρb-ρm);
Step 2.2:With multiple linear regression analysis method, calculated gap size tm, specific formula is as follows:
tm=aXL+bXL 2+c(ρb-ρm)+d(ρb-ρm)2+eXL(ρb-ρm)
Wherein, a, b, c, d, e are coefficient respectively;
Step 3:Wellbore radius D is sought, is specifically comprised the following steps:
Step 3.1:In the size for arbitrarily taking three gaps every 120 ° of position;
Step 3.2:Using following equation find out instrument axle center to the borehole wall distance S1、S2、S3;
S1=r+tm1;
S2=r+tm2;
S3=r+tm3;
Wherein, tm1、tm2、tm3It is gap size, r is the radius of instrument, S1、S2、S3Angle between any two is 120 °,
To angular using d as 3 three of common edge, following 3 trigonometric function equations can be listed:
Wherein, d is the distance in wellbore axle center and instrument axle center, α S1Angle between d;
To equation group find out the radius D of wellbore, it is as a result as follows:
Wherein, T is temporary variable.
General principles are described below:
The basic principle of the present invention is based on a kind of computational methods for boring density log progress hole diameter and gap size.Mud
Starch flexible strategy XLIt is by density of earth formations ρbWith the mud density ρ of gap fillingmDifference and gap thickness tmIt is determined, mud flexible strategy XL
With the difference (ρ of density of earth formations and mud densityb-ρm) and gap thickness tmBetween functional relation:
XL∝(ρb-ρm)tm
Wherein, ρbIt is density of earth formations value, ρmIt is mud density value, tmIt is the size in gap.
Wherein, to mud flexible strategy XLBe explained as follows:
In with density log is bored, measured using double detector, the density away from the remote detector measurement in source is referred to as remote
Density, the density away from the close detector measurement in source are known as nearly density.Due to by gap and filling mud influenced, calculating it is remote
Density and nearly density are all not equal to stratum real density, substantially corresponding at this time remote density and nearly density be all density of earth formations and
The weighted value of mud density.
ρfar=XLρm+(1-XL)ρb
By deforming mud flexible strategy XLFor:
XL=(ρb-ρfar)/(ρb-ρm)
Wherein, ρfarIt is the density value of far detector measurement stratum.
Advantageous effects caused by the present invention:
Calculating of present invention on the basis of with density log is bored to gap and hole diameter, compared to utilization ultrasonic ranging
Method can cover the blind area using ultrasonic measurement in the size range of calculated gap, and in the mud scope of application
Also it improves to some extent;In addition, from the point of view of engineering, the present invention solve the inconvenient maintenance of ultrasonic instrument, maintenance cost it is high and
The problems such as instrument expense is very expensive.
Description of the drawings
Fig. 1 is gap and wellbore, the geometrical relationship schematic diagram of instrument.
Wherein, the 1- boreholes wall;2- apparatus walls;3- wellbores axle center;4- instruments axle center;5- detectors;6- detects position of stratum;7-
The angle of instrument rotation;8- instruments axle center is to borehole wall distance S1With wellbore axle center to the angle of instrument axle center distance;9- instrument shafts
Distance S of the heart to the borehole wall1;Distance S of the 10- instruments axle center to the borehole wall2;Distance S of the 11- instruments axle center to the borehole wall3。
Specific implementation mode
Below in conjunction with the accompanying drawings and specific implementation mode invention is further described in detail:
Gap and wellbore, the geometrical relationship of instrument are as shown in Figure 1.
It is a kind of with bore density log to the computational methods of hole diameter and gap, specifically comprise the following steps:
Step 1:Seek mud flexible strategy XLAnd XLFunctional relation specifically comprises the following steps:
Step 1.1:Using Monte Carlo simulation to being simulated with brill density log, remote density p is obtainedfar, density of earth formations
ρb, mud density ρmAnd gap size tmValue;
Step 1.2:Utilize formula XL=(ρb-ρfar)/(ρb-ρm), calculate XLValue;
Step 1.3:Change gap size tm, density of earth formations ρbWith mud density ρm, many experiments are carried out, scatterplot group is obtained
Close (XL1, (ρb-ρm)2, tm1)、(XL2, (ρb-ρm)2, tm2)……(XLi, (ρb-ρm)i, tmi), wherein i is pendulous frequency;
Step 1.4:Obtain XL=f (ρb-ρm, tm) functional relation;
Step 2:Seek gap size tm, specifically comprise the following steps:
Step 2.1:By XL=f (ρb-ρm, tm) functional relation deformed to obtain tm=g (XL, ρb-ρm);
Step 2.2:With multiple linear regression analysis method, calculated gap size tm, specific formula is as follows:
tm=aXL+bXL 2+c(ρb-ρm)+d(ρb-ρm)2+eXL(ρb-ρm)
Wherein, a, b, c, d, e are coefficient respectively;
Step 3:Wellbore radius D is sought, is specifically comprised the following steps:
Step 3.1:In the size for arbitrarily taking three gaps every 120 ° of position;
Step 3.2:Using following equation find out instrument axle center to the borehole wall distance S1、S2、S3;
S1=r+tm1;
S2=r+tm2;
S3=r+tm3;
Wherein, tm1、tm2、tm3It is gap size, r is the radius of instrument, S1、S2、S3Angle between any two is 120 °,
To angular using d as 3 three of common edge, following 3 trigonometric function equations can be listed:
Wherein, d is the distance in wellbore axle center and instrument axle center, α S1Angle between d;
To equation group find out the radius D of wellbore, it is as a result as follows:
Wherein, T is temporary variable.
The platform of this experiment is Monte Carlo simulation software, simulates data, is obtained with the computational methods processing of the present invention
Gap and hole diameter (such as table 1, table 2) is compared with the gap of design and hole diameter, by analytical error come determine the present invention
Feasibility, table 1 are the comparisons of design gaps and calculated gap, and table 2 is the wellbore radius of design and calculates the comparison of radius.
The comparison of table 1 design gaps and calculated gap
2 design radial of table and the comparison for calculating radius
Serial number | Design radial cm | Rotation angle/degree | Gap size/cm | Calculate radius/cm | Error |
1 | 12.9 | 0 | 0.093188 | 12.99319 | 0.09 |
2 | 12.9 | 22.5 | 0.310813 | 13.05561 | 0.16 |
3 | 12.9 | 45 | 0.542498 | 12.83261 | 0.07 |
4 | 12.9 | 67.5 | 1.358426 | 12.92321 | 0.02 |
5 | 12.9 | 90 | 1.9991 | 12.64862 | 0.25 |
6 | 12.9 | 112.5 | 3.032269 | 12.68757 | 0.21 |
7 | 12.9 | 135 | 3.976884 | 12.73243 | 0.17 |
8 | 12.9 | 157.5 | 4.691901 | 12.81796 | 0.08 |
9 | 12.9 | 180 | 5.011733 | 12.91173 | 0.01 |
From table 1 above it can be seen that the gap width for the gap width and design being calculated using the present invention is made comparisons, the two
Difference is up to 0.323794 (i.e. error), mean error 0.1641107cm, between being determined with the utilization ultrasonic echo time difference
It is very nearly the same both in precision for gap, but the range of calculated gap of the present invention covers the measurement blind area of ultrasonic caliper,
And for the limitation also opposite reduction that mud property requires;The error of the hole diameter calculated as can be seen from Table 2 by the present invention
Very little, substantially close to the borehole size of design.By Tables 1 and 2 it is found that the method for the present invention can effectively calculate gap thickness
With hole diameter size, it can be seen that, method provided by the invention disclosure satisfy that the requirement that result of calculation is obtained in engineering.
Certainly, above description is not limitation of the present invention, and the present invention is also not limited to the example above, this technology neck
The variations, modifications, additions or substitutions that the technical staff in domain is made in the essential scope of the present invention should also belong to the present invention's
Protection domain.
Claims (1)
1. a kind of with boring density log to the computational methods of hole diameter and gap, it is characterised in that:Specifically comprise the following steps:
Step 1:Seek mud flexible strategy XLAnd XLFunctional relation specifically comprises the following steps:
Step 1.1:Using Monte Carlo simulation to being simulated with brill density log, remote density p is obtainedfar, density of earth formations ρb, mud
Pulp density ρmAnd gap size tmValue;
Step 1.2:Utilize formula XL=(ρb-ρfar)/(ρb-ρm), calculate XLValue;
Step 1.3:Change gap size tm, density of earth formations ρbWith mud density ρm, many experiments are carried out, scatterplot combination is obtained
(XL1, (ρb-ρm)2, tm1)、(XL2, (ρb-ρm)2, tm2)……(XLi, (ρb-ρm)i, tmi), wherein i is pendulous frequency;
Step 1.4:Obtain XL=f (ρb-ρm, tm) functional relation;
Step 2:Seek gap size tm, specifically comprise the following steps:
Step 2.1:By XL=f (ρb-ρm, tm) functional relation deformed to obtain tm=g (XL, ρb-ρm);
Step 2.2:With multiple linear regression analysis method, calculated gap size tm, specific formula is as follows:
tm=aXL+bXL 2+c(ρb-ρm)+d(ρb-ρm)2+eXL(ρb-ρm)
Wherein, a, b, c, d, e are coefficient respectively;
Step 3:Wellbore radius D is sought, is specifically comprised the following steps:
Step 3.1:In the size for arbitrarily taking three gaps every 120 ° of position;
Step 3.2:Using following equation find out instrument axle center to the borehole wall distance S1、S2、S3;
S1=r+tm1;
S2=r+tm2;
S3=r+tm3;
Wherein, tm1、tm2、tm3It is gap size, r is the radius of instrument, S1、S2、S3Angle between any two is 120 °, to d
3 three for common edge are angular, can list following 3 trigonometric function equations:
Wherein, d is the distance in wellbore axle center and instrument axle center, α S1Angle between d;
To equation group find out the radius D of wellbore, it is as a result as follows:
Wherein, T is temporary variable.
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
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CN117148331A (en) * | 2023-10-31 | 2023-12-01 | 中海油田服务股份有限公司 | Test system and test method of while-drilling ultrasonic imaging instrument |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN117148331A (en) * | 2023-10-31 | 2023-12-01 | 中海油田服务股份有限公司 | Test system and test method of while-drilling ultrasonic imaging instrument |
CN117148331B (en) * | 2023-10-31 | 2023-12-26 | 中海油田服务股份有限公司 | Test system and test method of while-drilling ultrasonic imaging instrument |
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