CN108019202B - A kind of display methods of 3-D image - Google Patents
A kind of display methods of 3-D image Download PDFInfo
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- CN108019202B CN108019202B CN201610929300.7A CN201610929300A CN108019202B CN 108019202 B CN108019202 B CN 108019202B CN 201610929300 A CN201610929300 A CN 201610929300A CN 108019202 B CN108019202 B CN 108019202B
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- E—FIXED CONSTRUCTIONS
- E21—EARTH DRILLING; MINING
- E21B—EARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B47/00—Survey of boreholes or wells
- E21B47/08—Measuring diameters or related dimensions at the borehole
Abstract
It the present invention relates to the use of the display methods of the 3-D image of Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data based on Anomalistic space quadrangle.The display methods of the 3-D image includes data load step, loads the log data obtained by logger；Space irregular quadrilateral grid foundation step, space irregular quadrilateral grid is created according to the log data loaded in data load step；Space irregular quadrilateral grid load step loads space irregular quadrilateral grid.To Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data creation space irregular quadrilateral, in conjunction with longitudinal interpolation of depth dimension and the cubic spline combination interpolation method based on cosine function and First Boundary Condition of circumference, establish the 3-D graphic of Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data, oil pipe or casing damage corrosion condition in intuitive display pit shaft, it is not only quickly but also accurate compared to other dimensional Modeling Technologies.
Description
Technical field
The present invention relates to a kind of Multi-arm caliber imaging logging tool devices based on Anomalistic space quadrangle and magnetic wall thickness to log well
Instrument data pit shaft display methods, more particularly to a kind of according to Multi-arm caliber imaging logging tool device (Mutil-Finger
Image Tool) and the data combination space magnetic wall thickness logger (Magnetic Thickness Tool) irregular quadrilateral
The method that dimensional Modeling Technology carries out Three-dimensional Display to pit shaft.
Background technique
Multi-arm caliber imaging logging tool device is mainly used to measure the variation of oil well inner tube column internal diameter.Pass through the internal diameter number of acquisition
The variation of value, to detect tubing string deformation, perforation and situations such as inner wall corrosion, fouling.Multi-arm caliber imaging logging tool device has X-Y, 8
Several specifications such as arm, 12 arms, 18 arms, 20 arms, 24 arms, 28 arms, 36 arms, 40 arms, 60 arms and 80 arms, the instrument of different size have
The measurement arm of different number.Every measurement arm of instrument has independent measuring probe and biography by spring supporting, each measurement arm
Sensor, measurement arm is moved along pipe string internal wall when well logging, and measuring probe is contacted with pipe string internal wall, the measured value that sensor receives
Change with tubing string internal diameter and change, can measure along the equally distributed a plurality of radius curve of oil pipe or internal surface of sleeve pipe.In Fig. 1
Show the schematic diagram of 24 arms, 40 arms and 60 arm borehole diameter imaging loggers, wherein the case where (a) is 24 arm is (b) 40 arms
Situation, (c) the case where being 60 arm.
Magnetic wall thickness logger is mainly used to measure the metal pipe-wall thickness of down-hole string.Instrument is mainly by two parts group
At first part is transmitter, is located at instrument center, second part is the reception being made of 12 or 20 induction coils
Device, these coils are located on 12 or 20 semielliptic springs, and in well logging, transmitter generates an alternating magnetic field, magnetic
Signal, which penetrates tube wall, to be propagated and penetrates tube wall after a distance again and reach receiver, signal from transmitter to receiver used in when
Between and the amplitude that receives etc. depend on tubing string wall thickness, pass through available 12 or 20 directions of processing to signal
Tubing string thickness has reached and has measured 360 degree of tube wall.It is uniform-distribution with multiple sensors in same plane, multiple sides can be obtained
It to tubing string thickness, shows, is realized to complicated well logging information to carry out imaging to tubing string thickness using three-dimensional modeling mode
Carry out the displaying of simple, intuitive.By carrying out the three-dimensional modeling of pit shaft to surveyed wall thickness, the extent of corrosion of tube wall can be carried out
Qualitative and quantitative description.Fig. 2 is the schematic diagram of 12 arm magnetic wall thickness loggers.
The Well Data Processing result of Multi-arm caliber imaging logging tool device and magnetic wall thickness logger is needed by three-dimensional aobvious
Show that technology intuitively shows pit shaft 3-D image.
Multi-arm caliber imaging logging tool device can detect to accurate quantitative analysis the minor change of down-hole string internal diameter, and magnetic wall thickness is surveyed
Well instrument can detect to accurate quantitative analysis the minor change of down-hole string wall thickness, and Multi-arm caliber imaging logging tool device and magnetic wall thickness are surveyed
The Well Data Processing result of well instrument needs intuitively to show pit shaft 3-D image by dimension display technologies, intuitively display tube
The degree of impairment of column wall.
Intuitively change display by 3-D graphic, the main application of Multi-arm caliber imaging logging tool and magnetic wall thickness logging instrument can be with
It is divided into:
(1) it can be carried out the evaluation of oil, internal surface of sleeve pipe corrosion；
(2) analysis of oil, internal surface of sleeve pipe abrasion is carried out；
(3) analysis of oil, casing deformation is carried out；
(4) degree of impairment of oil, casing can be evaluated with accurate quantification；
(5) oil, cased perforated, breach, fracture position are determined；
(6) calibration of preforation tunnel；
(7) three-dimensional imaging of well section fixed point is shown.
When carrying out the display of pit shaft three-dimensional modeling to Multi-arm caliber imaging logging tool and magnetic wall thickness logging instrument well-log information, need
It to be combined and not advised by multiple hole diameters of Multi-arm caliber imaging logging tool data and multiple casing wall thicknesses of magnetic wall thickness logging instrument data
Then quadrilateral space modeling technique intuitively shows figure to establish the three-dimensional space of pit shaft.Currently, domestic and international down-hole string figure
Change the technology for drawing aspect and report be existing, still, yet there are no in relation to dimensional Modeling Technology damaged in detail in characterization pit shaft it is more
The report of technique study and application aspect in terms of arm borehole diameter imaging logger and magnetic wall thickness logger well-log information Three-dimensional Display
Road.
Summary of the invention
The three of well wellbore is carried out using Anomalistic space quadrangle modeling technique the purpose of the present invention is to provide a kind of
The method that dimension space is shown passes through the hole diameter and set logged well to Multi-arm caliber imaging logging tool device and magnetic wall thickness logger
Thickness of pipe wall data form irregular quadrilateral in space and combine the irregular quadrilateral of formation, to form intuitive well
Cylinder 3-D graphic, thereby, it is possible to intuitively show the pit shaft three-dimensional graph in oil well, and can show pit shaft
Inner wall corrosion, casing deformation, determine the various damages such as oil, cased perforated, breach and fracture position.
The present invention provides the Three-dimensional Display of a kind of Multi-arm caliber imaging logging tool device and magnetic wall thickness logger log data
Method, the data obtained using Multi-arm caliber imaging logging tool device and the measurement of magnetic wall thickness logger, carries out Anomalistic space four
The modeling of side shape.Herein, quadrangle refers to the quadrangle in space, rather than plane quadrilateral, that is, four vertex of quadrangle can
In one plane, in the same plane, can not also irregularly refer to size and angle of these quadrangles etc. all
It is that variation is irregular.
The present invention provides a kind of display methods of 3-D image, for showing the three-dimensional figure of oil pipe or casing in pit shaft
As comprising:
Data load step, load are surveyed by the obtained Multi-arm caliber imaging logging tool device of Multi-arm caliber imaging logging tool device
Well data；
Space irregular quadrilateral grid foundation step, according to the multi-arm well loaded in the data load step
Diameter imaging logging instrument log data creates space irregular quadrilateral grid；And
Space irregular quadrilateral grid load step, loads the space irregular quadrilateral grid.
In addition, in the display methods of 3-D image of the invention,
If the Multi-arm caliber imaging logging tool device is evenly distributed on radial circumference n measuring probe, then described
The measured n casing inner diameter curve obtained of the Multi-arm caliber imaging logging tool device is loaded in data load step,
In the space irregular quadrilateral grid foundation step, i-th hole diameter value at current depth h is denoted asH ' is denoted as next depth of current depth and h '=h+level, level is depth-sampling by (1≤i≤n)
Interval, then will、、、This four values are used as four vertex, construct one
A space irregular quadrilateral, wherein 1≤i≤n, particularly, as i=n, i+1 1, as a result, current depth h with
Between next depth h ', n space irregular four is constituted between every two adjacent curves of the n casing inner diameter curve
Side shape forms the space irregular quadrilateral grid,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
In addition, in the display methods of 3-D image of the invention,
In the space irregular quadrilateral grid load step, load current depth range, that is, current depth h is under
The space irregular quadrilateral grid of depth bounds level between one depth h ', when depth bounds change, then
The space of depth bounds is not advised after load after the previously loaded space irregular quadrilateral grid unloading is changed
Then quadrilateral mesh.
In addition, in the display methods of 3-D image of the invention,
When the space for foring full well depth in the space irregular quadrilateral grid foundation step is irregular
After quadrilateral mesh, the space that full well depth is loaded in the space irregular quadrilateral grid load step is not advised
Then quadrilateral mesh.
In addition, the present invention provides a kind of display methods of 3-D image, for showing the three of oil pipe in pit shaft or casing
Tie up image comprising:
Data load step is loaded by the obtained magnetic wall thickness logger log data of magnetic wall thickness logger；
Space irregular quadrilateral grid foundation step, according to the magnetic wall thickness loaded in the data load step
Logger log data creates space irregular quadrilateral grid；And
Space irregular quadrilateral grid load step, loads the space irregular quadrilateral grid.
In addition, in the display methods of 3-D image of the invention,
M magnetic wall thickness logging instrument of acquisition measured by the magnetic wall thickness logger is loaded in the data load step
Device casing thickness curve,
In the space irregular quadrilateral grid foundation step, j-th of magnetic wall thickness at current depth h is logged well
The value that instrument instrument probe measures is denoted as(1≤j≤m), by h ' be denoted as current depth next depth and
H '=h+level, level are depth sampling intervals, then will、、、This four values are used as four vertex, construct a space irregular quadrilateral, wherein 1≤j≤m, especially
Ground, as j=m, j+1 1, as a result, between current depth h and next depth h ', the m casing thickness curve
Every two adjacent curves between constitute m space irregular quadrilateral, form the space irregular quadrilateral grid,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
In addition, in the display methods of 3-D image of the invention,
In the space irregular quadrilateral grid load step, load current depth range, that is, current depth h is under
The space irregular quadrilateral grid of depth bounds level between one depth h ', when depth bounds change, then
The space of depth bounds is not advised after load after the previously loaded space irregular quadrilateral grid unloading is changed
Then quadrilateral mesh.
In addition, in the display methods of 3-D image of the invention,
When the space for foring full well depth in the space irregular quadrilateral grid foundation step is irregular
After quadrilateral mesh, the space that full well depth is loaded in the space irregular quadrilateral grid load step is not advised
Then quadrilateral mesh.
In addition, the present invention provides a kind of display methods of 3-D image, for showing the three of oil pipe in pit shaft or casing
Tie up image comprising:
Data load step, load are surveyed by the obtained Multi-arm caliber imaging logging tool device of Multi-arm caliber imaging logging tool device
Well data and by the obtained magnetic wall thickness logger log data of magnetic wall thickness logger；
Space irregular quadrilateral grid foundation step, according to the multi-arm well loaded in the data load step
Diameter imaging logging instrument log data and the magnetic wall thickness logger log data create space irregular quadrilateral grid；
And
Space irregular quadrilateral grid load step, loads the space irregular quadrilateral grid.
In addition, in the display methods of 3-D image of the invention,
N casing of the acquisition as measured by the Multi-arm caliber imaging logging tool device is loaded in the data load step
Inside radius curve and m magnetic wall thickness logger casing thickness curve of the acquisition as measured by the magnetic wall thickness logger, and
And n > m,
In the space irregular quadrilateral grid foundation step, interpolation is carried out to the magnetic wall thickness logger data
Processing so that on a circumference magnetic wall thickness logger data and the Multi-arm caliber imaging logging tool device three-dimensional figure
It is consistent that shape draws points, and makes the Multi-arm caliber imaging logging tool device data and the magnetic wall thickness by longitudinal interpolation processing
The sampling interval of logger data is consistent, and then, the space for creating the Multi-arm caliber imaging logging tool device data is irregular
Quadrangle, then, by the Multi-arm caliber imaging logging tool device data and the magnetic wall thickness logger number after interpolation processing
According to longitudinal corresponding depth is carried out and laterally correspond to circular arc data is added processing, magnetic wall thickness logger data after being added are created
Space irregular quadrilateral.
In addition, in the display methods of 3-D image of the invention,
Using point of proximity interpolation method, linear interpolation method or based on suitable for circular arc in the lateral circular interpolation processing
The cosine function of processing and the cubic spline function combination interpolation method of First Boundary Condition,
Point of proximity interpolation method or linear interpolation method are used in longitudinal interpolation processing.
In addition, in the display methods of 3-D image of the invention,
In the space irregular quadrilateral grid foundation step, the Multi-arm caliber imaging logging tool device number is being created
According to the trapeziform situation in space under, i-th hole diameter value at current depth h is denoted as(1≤i
≤ n), h ' is denoted as next depth of current depth and h '=h+level, level are depth sampling intervals, then will、、、This four values are used as four vertex, construct a sky
Between irregular quadrilateral, wherein 1≤i≤n, particularly, as i=n, i+1 1, as a result, current depth h with it is next
Between a depth h ', irregular four side in n space is constituted between every two adjacent curves of the n casing inner diameter curve
Shape forms the space irregular quadrilateral grid,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
In addition, in the display methods of 3-D image of the invention,
In the space irregular quadrilateral grid foundation step, by the n casing inner diameter at current depth h
I-th hole diameter value in curve is denoted as(1≤i≤n) and the magnetic wall thickness logger data after interpolation are denoted as(1≤j≤n), then magnetic wall thickness logger data after being added be(1≤k≤n, 1≤i≤n, 1≤j≤n), that is, k-th at current depth h
The value of magnetic wall thickness logger data is(1≤k≤n), also, h ' is denoted as to next depth of current depth
And h '=h+level, level are depth sampling intervals, then will、、、This four values are used as four vertex, construct a space irregular quadrilateral, wherein 1≤k≤n, especially
Ground, as k=n, k+1 1, as a result, between current depth h and next depth h ', n casing thickness curve it is every
N space irregular quadrilateral is constituted between two adjacent curves, forms the space irregular quadrilateral grid,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
In addition, in the display methods of 3-D image of the invention,
In the space irregular quadrilateral grid load step, load current depth range, that is, current depth h is under
The space irregular quadrilateral grid of depth bounds level between one depth h ', when depth bounds change, then
The space of depth bounds is not advised after load after the previously loaded space irregular quadrilateral grid unloading is changed
Then quadrilateral mesh.
In addition, in the display methods of 3-D image of the invention,
When the space for foring full well depth in the space irregular quadrilateral grid foundation step is irregular
After quadrilateral mesh, the space that full well depth is loaded in the space irregular quadrilateral grid load step is not advised
Then quadrilateral mesh.
Multi-arm caliber imaging logging tool device and magnetic wall thickness logger well-log information three-dimensional imaging of the invention shows and is divided into
The imaging of Multi-arm caliber imaging logging tool device data three-dimensional, the imaging of magnetic wall thickness logger data three-dimensional and multi-arm caliper imaging are surveyed
Well instrument and the data simultaneous three-dimensional imaging of magnetic wall thickness logger.Multi-arm caliber imaging logging tool device and magnetic wall thickness logger number
It is the sampling obtained according to Multi-arm caliber imaging logging tool device or magnetic wall thickness logger measurement according to three-dimensional modeling imaging
Multiple oil pipes or casing on the circumference of point on the circumference of multiple oil pipes or casing inner diameter or wall thickness and different sampled points
Internal diameter or wall thickness will be connected between them using quadrangle modeling method, formation is permitted by setting pit shaft axial position
Multiple irregular quadrilateral spaces, and the volume rending side by the way that different casing inner diameters or wall thickness to be corresponded to different colours
Method forms Multi-arm caliber imaging logging tool device data or the multiple quadrilateral space color combinings of magnetic wall thickness logger data
Three-dimensional imaging figure intuitively shows oil pipe or casing actual conditions.Multi-arm caliber imaging logging tool device and magnetic wall thickness are surveyed
Well instrument data simultaneous three-dimensional imaging is one obtained according to Multi-arm caliber imaging logging tool device and magnetic wall thickness logger measurement
Multiple casing inner diameters on the circumference of a sampled point on multiple casing inner diameters and different sampled point circumference, it is axial by setting pit shaft
Position will be connected between oil pipe or casing inner diameter that Multi-arm caliber imaging logging tool device measurement obtains using quadrangle modeling method
It picks up and, form many irregular quadrilateral spaces, also, the wall thickness data of magnetic wall thickness logger are added into multi-arm well
The internal diameter data of diameter imaging logging instrument, connected using quadrangle modeling method between the data after will add up and pass through by
Different data corresponds to the volume rending method of different colours, by Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data
Multiple quadrilateral space color combinings form three-dimensional imaging figure, intuitively show oil pipe or casing actual conditions.Pass through
The internal diameter data of the wall thickness data and Multi-arm caliber imaging logging tool device of magnetic wall thickness logger are added processing, to magnetic wall thickness
Logger wall thickness data can eliminate when three-dimensional modeling because of wall thickness threedimensional model in caused by the outer layer of axial space
Diameter threedimensional model can not be shown, additionally it is possible to which the outer layer magnetic wall thickness logger wall thickness data for eliminating axial space are establishing three
Pit shaft image distortion problems when dimension module.
Detailed description of the invention
The case where Fig. 1 is the schematic diagram of borehole diameter imaging logger device, and (a) is 24 arm, (b) the case where being 40 arm, be (c) 60
The case where arm.
Fig. 2 is the schematic diagram of 12 probe magnetic wall thickness loggers.
Fig. 3 is the stream for illustrating Multi-arm caliber imaging logging tool device and the modeling of magnetic wall thickness logger data three-dimensional of the invention
Cheng Tu.
Fig. 4 is the figure for indicating an example of Multi-arm caliber imaging logging tool device data three-dimensional modeled images.
Fig. 5 is the figure for indicating an example of magnetic wall thickness logger data three-dimensional modeled images.
Fig. 6 is indicate Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data simultaneous three-dimensional modeling image one
The figure of a example.
Fig. 7 is the oil pipe for indicating obtained by magnetic wall thickness logger or an example of casing wall thickness heavy corrosion
Figure.
Fig. 8 is indicate Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data casing coupling 3-D image one
The figure of a example.
Fig. 9 is the space irregular quadrilateral shape for indicating Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data
At the figure of an example of 3-D image.
Figure 10 is to indicate that the space irregular quadrilateral of magnetic wall thickness logger data forms an example of 3-D image
Figure.
Figure 11 is to show four vertex of Multi-arm caliber imaging logging tool device data to construct irregular four side in a space
The figure of shape.
Figure 12 is to show four vertex of magnetic wall thickness logger data to construct the trapeziform figure in space.
Figure 13 is the figure for showing the three-dimensional geometry body of quadrangle composition.
Figure 14 is to show the figure for obtaining complete class cylindrical surface.
(a) and (b) of Figure 15 is 112~113 meters of depths using the method in the embodiment of the present invention to certain log data
It spends range and carries out the result after three-dimensional modeling.
Specific embodiment
In the following, in conjunction with attached drawing, detailed description of the preferred embodiments.
Fig. 3 is the stream for illustrating Multi-arm caliber imaging logging tool device and the modeling of magnetic wall thickness logger data three-dimensional of the invention
Cheng Tu.It is the data type for determining load well logging first, data type is divided into three kinds, that is, Multi-arm caliber imaging logging tool device
Type (MIT), magnetic wall thickness logger type (MTT) and Multi-arm caliber imaging logging tool device and magnetic wall thickness logger type
(MIT+MTT), for three kinds of different log data types, although all using Anomalistic space quadrangle under three circumstances,
It is that the data points in space on pit shaft radial circumference one week are different, in individual Multi-arm caliber imaging logging tool device type
In the case of, arm number is consistent is for data point requirement on pit shaft radial circumference one week and the measurement of Multi-arm caliber imaging logging tool device
Can, in the case where individual magnetic wall thickness logger type, the data point requirement on pit shaft radial circumference one week is magnetic wall
2 times of thick logger types of receiver number, and in Multi-arm caliber imaging logging tool device and magnetic wall thickness logger type
In the case of, on pit shaft radial circumference one week, need to log well Multi-arm caliber imaging logging tool device data point number and magnetic wall thickness
Tool count strong point number carries out a kind of unified, few to data amount check carry out interpolation processing, and the two data point number requires the same.
It is Multi-arm caliber imaging logging tool device log data type first, at this time, it may be necessary to create multi-arm caliper imaging logging
The space irregular quadrilateral grid of instrument data.Under the three-dimensional display mode, Multi-arm caliber imaging logging tool device is measured
Data are multiple hole diameter values, and on the same depth-sampling point, multiple evenly distributed hole diameter numbers are measured within the scope of 360 degree of circumference
It is worth, causes evenly distributed mode different due to instrument rotating factor when logging well on different depth sampled point, creating
Need to establish the irregular quadrilateral mesh in space when three dimensional pattern, it will be different evenly distributed on the circumference of different sampled points
Multiple hole diameter numerical value connections, form space three-dimensional model.
Multi-arm caliber imaging logging tool device evenly distributed n measuring probe on radial circumference, in each depth, often
One measuring probe all measures a numerical value, and the same measuring probe forms a measurement song in the measured value of all depths
Line.The measurement of Multi-arm caliber imaging logging tool device obtains n casing inner diameter curve, note(1≤i≤n) is at depth h
I-th hole diameter value, that is, take a certain experiment curv in the value of the measurement (namely hole diameter) of some depth.
Creation Multi-arm caliber imaging logging tool device data space irregular quadrilateral grid need to construct multi-arm caliper at
As the three-dimensional class cylindrical surface of logger data.According to three-dimensional modeling theory, several small triangles and quadrangle can be spelled
It connects to form a three-dimensional surface.By n hole diameter numerical value of the Multi-arm caliber imaging logging tool device at depth hUniformly
It is distributed on a class circumference (since the value of different directions is different, so being not the circumference of rule, that is to say, that in depth
It spends at h, has n measurement numerical value on a circumference, this n measurement numerical value is evenly arranged on a circumference and (refers to every two
Angle between adjacent measured value is equal, is 360/n), but measured value itself is of different sizes, due to well on different directions
Diameter changes, and measured value measurement is hole diameter, therefore measured value size can be different).Due to Multi-arm caliber imaging logging tool device well
Diameter probe is evenly distributed within the scope of 360 degree of circumference, therefore the angle between the logged well diameter numerical value of every two adjacent probes is all
360/n degree.Registered depth is, h is current depth,It is next depth of current depth, level is depth
Sampling interval, then basis、、、This four
Value can construct corresponding four vertex, it is assumed that the value of this four vertex correspondences is denoted as A, B, C and D, as shown in figure 11, by this
Four vertex can construct a space irregular quadrilateral, wherein 1≤i≤n, particularly, and as i=n, i+1 1.
The angle for remembering i-th of value is θi(that is, i-th and the angle of x-axis are θi), this four vertex space coordinates (x, y, z)
Be respectively ()、()、(()) and (()), it will be each
Quadrangle carries out color filling, and (3-D graphic is most intuitively exactly color, and different colors represents different meanings, in the present invention
The radius that middle different color represents pit shaft is different, and the color rule of filling can be with flexible setting, such as dark expression pit shaft
Radius is larger, and light color represents that wellbore radius is smaller, between radius it is big and radius it is small between radius, be filled with dark and light color
Between intermediate color).In this way, there is n quadrangle to constitute a class cylindrical surface in each level depth bounds.That is, upper one is adopted
Depth difference between sampling point and next sampled point is level, two measurements of the two adjacent curves in a upper sampled point
Two measurement numerical value, one space irregular quadrilateral of composition of numerical value and next sampled point, n curve every two adjacent
Just constitute n space irregular quadrilateral again between curve, by a irregular quadrilateral spaces of this n formed one with a thickness of
0 cylindrical body, abbreviation class cylindrical surface.In addition, by establishing pit shaft threedimensional model using Multi-arm caliber imaging logging tool device data
Figure, so as to intuitively show the actual conditions of shaft in wall.Fig. 4 is to indicate that Multi-arm caliber imaging logging tool device data three-dimensional is built
The figure of one example of mould image.
Followed by magnetic wall thickness logger log data type, at this time, it may be necessary to create the sky of magnetic wall thickness logger data
Between irregular quadrilateral grid.Under the three-dimensional display mode, the data that magnetic wall thickness logger measures are multiple casing wall thicknesses
Numerical value on the same depth-sampling point, measures multiple evenly distributed casing wall thickness numerical value within the scope of 360 degree of circumference, different deep
Cause evenly distributed mode different due to instrument rotating factor when logging well on degree sampled point, when creating three dimensional pattern
Need to establish the irregular quadrilateral mesh in space, by evenly distributed multiple casing walls different on the circumference of different sampled points
Thick numerical value connection, forms space three-dimensional model.
Remember that logger measurement obtains m magnetic wall thickness logger casing thickness curve.It will(1≤j≤m)
It is denoted as the value that j-th of magnetic wall thickness logger instrument probe measures at depth h.
The space irregular quadrilateral grid of creation magnetic wall thickness logger data needs to construct magnetic wall thickness logger number
According to three-dimensional class cylindrical surface.According to three-dimensional modeling theory, several small triangles and quadrangle can be spliced to form one three
Dimension face.By m casing thickness value at depth h(1≤j≤m) be evenly distributed on a class circumference (due to
The value of different directions is different, so being not the circumference of rule).Also casing thickness value is evenly distributed on a class circumference
On, the angle of every two value is 360/m degree.Since the electromagnetic wave signal receiving coil of magnetic wall thickness logger is at 360 degree of circumference
It is evenly distributed in range, therefore the angle between the surveyed casing thickness value of the adjacent electromagnetic wave signal receiving coil of every two is all
360/m degree.In the same manner as with the Multi-arm caliber imaging logging tool device log data type the case where, according to、、、(1≤j≤m) this four values construct a quadrilateral space.Note
The angle of j-th of value is θj, above four values are replaced using A, B, C, D, then the space coordinate (x, y, z) of four corresponding vertexs point
Be not ()、()、() and (), as shown in figure 12, wherein 1≤j≤m, particularly, and as j=m, j+1 1.Accordingly, equally
Ground has also constructed magnetic wall thickness logger data class cylindrical surface.In addition, by establishing well using magnetic wall thickness logger data
Cylinder three-dimensional model diagram, so as to intuitively show the actual conditions of pit shaft outer wall and thickness.Figure 10 is to indicate magnetic wall thickness logging instrument
The space irregular quadrilateral of device data forms the figure of an example of 3-D image, and Fig. 5 is to indicate magnetic wall thickness logger number
According to the figure of an example of three-dimensional modeling image.
It is Multi-arm caliber imaging logging tool device and magnetic wall thickness logger log data type again, at this time, it may be necessary to create
The space irregular quadrilateral grid of Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data.
It is that interpolation processing is carried out to magnetic wall thickness logger data first, because the probe number of magnetic wall thickness logger is small
In the probe number of Multi-arm caliber imaging logging tool device, in order to guarantee internal multi-arm caliper imaging logging in the 3-D graphic drawn
Instrument data 3-D graphic feature is not covered by outer layer magnetic wall thickness logger data three-dimensional figure, and needing will be more on a circumference
Arm borehole diameter imaging logger device and the 3 D image drawing of magnetic wall thickness logger data points are unified, it is therefore desirable to magnetic wall thickness
Logger data carry out lateral circular interpolation processing, and interpolation algorithm can directly use point of proximity, linear interpolation or be based on
Suitable for the cosine function of circular arc processing and the cubic spline function combination interpolation method of First Boundary Condition.Simultaneously as more
The sampling interval of arm borehole diameter imaging logger device and magnetic wall thickness logger data may also disunity, it is therefore desirable to by multi-arm well
Diameter imaging logging instrument and magnetic wall thickness logger curve negotiating longitudinal direction interpolation processing are consistent their sampling interval, insert
Value-based algorithm can directly use point of proximity or linear interpolation, and the sampling interval after interpolation is denoted as level.
Multi-arm caliber imaging logging tool device and magnetic wall thickness logger numerical value on a circumference can be made by closing on point interpolation
Number is consistent, for example, n=40, m=12 can be by the numerical value on one circumference of magnetic wall thickness logger by closing on point interpolation
Algorithm becomes following form:
。
It can guarantee that Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data are three-dimensional on a circumference in this way
Drawing data number is consistent.
Cubic spline function combination interpolation method based on the cosine function and First Boundary Condition for being suitable for circular arc processing
It is an innovative point and bright spot of the invention.
Known functionOn n point and its corresponding functional value:
,
,
Cubic spline interpolation can be used and seek the new corresponding functional value of point:
,
,
Cubic spline interpolation is the high interpolation algorithm of smoothness, its specific requirement is constructed in two neighborhood of nodes
Interpolation subintervalIt is upper to be no more than multinomial three times with one to approach, and in each node
Junction functional value can continuously lead, first derivative can continuously be led and there are second dervatives.
Cubic spline functions are constructed there are two types of method, one is using give the second derivative values at Interpolation Nodes as
Unknown number solves, another is solved using giving the first derivative at Interpolation Nodes as unknown number, after using below
A kind of method realization, and modeled according to Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data three-dimensional and circular arc is inserted
The requirement of value, is handled using First Boundary Condition.
For function, give n node and functional value thereon
,
Wherein,。
Function approximation z at m interpolation point, one are calculated with the Cubic Spline Interpolation formula of First Boundary Condition
Order derivative z1 and second dervative z2.Wherein, First Boundary Condition refers to that the first derivative values at function both ends are given.
(1),
Being located at the first derivative at given node is
(2),
Using two o'clock hermite interpolation formula, available subintervalOn interpolation it is more
Item formula are as follows:
(3),
Wherein,.Due to L(t) in section [x0, xn-1] on second dervative it is continuous, i.e., at tie point
Second order left derivative and quadratic factorial right derivative are equal, this constraint condition can indicate are as follows:
(4),
It is available by arranging:
(5),
Define intermediate variable:
(6),
(7),
Former constraint condition can be written as by transformation:
(8),
?ThisThis condition is applied on a node, is obtained aEquation, in order to true
Determine the derivative value on n node, it is necessary to two restrictive conditions are supplemented, First Boundary Condition is just directly given on boundary
On two first derivative values obtain equation group in this way as two necessary restrictive conditions are as follows:
(9),
This is the equation group that a coefficient matrix is tridiagonal matrix, and chasing method can be used and solved, so that it is determined that going out
Interpolation formula.
Modeling approach and pseudo-code of the algorithm are described below.
(I) intermediate variable that the first derivative at calculate node needs
For i=1,2,,n-2
Do
,
。
(II) first derivative values at intermediate n-2 node are calculated
For i= n-2,n-3,1
Do 。
(III) approximation that suitable section calculates separately functional value and first derivative at m interpolation point is chosen, if institute
Section is, then for interpolation point t,
。
Followed by create the space irregular quadrilateral of Multi-arm caliber imaging logging tool device data, modeling approach and technology with
The thinking that Multi-arm caliber imaging logging tool device data above-mentioned individually model is identical with technology, is not described in detail herein.
It is by Multi-arm caliber imaging logging tool device data and the magnetic wall thickness logger data after interpolation processing again
The longitudinal corresponding depth of progress is added processing with laterally corresponding circular arc data, the Multi-arm caliber imaging logging tool device at registered depth h
Data and magnetic wall thickness logger data are respectively as follows:
,
,
Then magnetic wall thickness logger data after being added are as follows:
。
Followed by the space irregular quadrilateral of creation magnetic wall thickness logger data after being added, modeling approach and technology
It is identical as the thinking and technology that magnetic wall thickness logger data above-mentioned individually model.That is, k-th of magnetic at current depth h
The value of wall thickness logger data is(1≤k≤n), also, h ' is denoted as next depth of current depth simultaneously
And h '=h+level, level are depth sampling intervals, then will、、、This four values are used as four vertex, construct a space irregular quadrilateral, wherein 1≤k≤n, it is special
Not, as k=n, k+1 1, as a result, between current depth h and next depth h ', n casing thickness curve
N space irregular quadrilateral is constituted between every two adjacent curves.Accordingly, magnetic wall thickness logging instrument has similarly also been constructed
Device data class cylindrical surface.Fig. 9 is to indicate that the space of Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data is irregular
Quadrangle forms the figure of an example of 3-D image, and Fig. 6 is to indicate Multi-arm caliber imaging logging tool device and magnetic wall thickness logging instrument
The figure of one example of device data simultaneous three-dimensional modeling image.
It is finally Multi-arm caliber imaging logging tool device log data type three dimensional irregular quadrilateral, magnetic wall thickness logger
Log data type three dimensional irregular quadrilateral and the two trapeziform dynamically load of simultaneous.
Fig. 7 is the oil pipe for indicating obtained by magnetic wall thickness logger or an example of casing wall thickness heavy corrosion
Figure, Fig. 8 is an example for indicating Multi-arm caliber imaging logging tool device and magnetic wall thickness logger data casing coupling 3-D image
Son figure, can visually see from Fig. 7 and Fig. 8 oil pipe or casing wall thickness the case where.
Multi-arm caliber imaging logging tool device and magnetic wall thickness logger log data depth bounds in view of a bite oil well is past
Toward hundreds and thousands of rice, if disposably all shown all three-dimensional geometry bodies, calculator memory and performance are often inadequate.
Therefore, in the present invention according to the depth bounds (depth currently setDepth '), by the three-dimensional class circle of current depth range
Cylinder is shown.Once changing depth bounds, then old three-dimensional class cylindrical surface is unloaded, new three-dimensional class cylindrical surface is loaded.
The three-dimensional geometry bodily form that these quadrangles are constituted is as shown in figure 13, after the filling of these quadrangles, so that it may obtain
Complete class cylindrical surface, as shown in figure 14.The color of filling is depending on the value on four vertex and colour code.
For more clearly clear advantages of the present invention, below in an example, generated to using method of the invention
Result be illustrated.
Embodiment
(a) and (b) of Figure 15 indicate using method of the invention to 112~113 meters of depth bounds of certain log data into
Result after row three-dimensional modeling.
In Figure 15, two casing three-dimensional imaging figures energy accurate simulation shows the cased shape of oil well, with underground reality
Border sleeve-shaped is coincide.From the point of view of two figures of Figure 15, the present invention is with the obvious advantage in terms of casing details Three-dimensional Display, can be straight
The detail for showing casing is seen, in addition, providing non-intermediate color and transition in terms of the color treatments of 3-D graphic coloring
Color two schemes, intermediate color makes casing corrosion deformation be more in line with the natural law, also more scientific and reasonable, with intermediate color
Casing 3-D graphic is more close to the truth of down-hole casing.
It can be seen that casing Multi-arm caliber imaging logging tool device and magnetic wall thickness logger Data Data that the present invention generates
3-D graphic is correctly reliable, more practical.
The present invention can be suitable for the X-Y of Multi-arm caliber imaging logging tool device, 8 arms, 12 arms, 18 arms, 20 arms, 24 arms, 28
The three-dimensional modeling of the loggers data such as arm, 36 arms, 40 arms, 60 arms and 80 arms can be suitable for magnetic wall thickness logger (magnetic wall
Thick instrument) 12 probe and 20 probe etc. loggers data three-dimensional modelings.
As described above, the present application is illustrated, however, it is not limited to this is construed as in the technology of the present invention
Various changes and combination in the range of thought are within.
Claims (10)
1. a kind of display methods of 3-D image, for showing the 3-D image of oil pipe or casing in pit shaft, which is characterized in that
It includes
Data load step, load is by the obtained Multi-arm caliber imaging logging tool device well logging number of Multi-arm caliber imaging logging tool device
According to；
Space irregular quadrilateral grid foundation step, according to the multi-arm caliper loaded in the data load step at
Space irregular quadrilateral grid is created as logger log data；And
Space irregular quadrilateral grid load step, loads the space irregular quadrilateral grid；
Wherein, the Multi-arm caliber imaging logging tool device is evenly distributed on radial circumference n measuring probe；
N casing inner diameter song of acquisition measured by the Multi-arm caliber imaging logging tool device is loaded in the data load step
Line；
In the space irregular quadrilateral grid foundation step, i-th hole diameter value at current depth h is denoted as CALi
(h) h ' is denoted as next depth of current depth and h '=h+level, level is depth sampling interval by (1≤i≤n),
So by CALi(h)、CALi+1(h)、CALi(h')、CALi+1(h') this four values are used as four vertex, construct a space not
Regular quadrilateral, wherein 1≤i≤n, as i=n, i+1 1, as a result, between current depth h and next depth h ',
N space irregular quadrilateral is constituted between every two adjacent curves of the n casing inner diameter curve, forms the space
Irregular quadrilateral grid,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
2. the display methods of 3-D image as described in claim 1, which is characterized in that
In the space irregular quadrilateral grid load step, current depth range, that is, current depth h and next is loaded
The space irregular quadrilateral grid of depth bounds level between depth h ' then will be previous when depth bounds change
Irregular four side in the space of depth bounds after load changes after the space irregular quadrilateral grid unloading of load
Shape grid.
3. the display methods of 3-D image as described in claim 1, which is characterized in that
When irregular four side in the space for foring full well depth in the space irregular quadrilateral grid foundation step
After shape grid, the space irregular four of full well depth is loaded in the space irregular quadrilateral grid load step
Side shape grid.
4. a kind of display methods of 3-D image, for showing the 3-D image of oil pipe or casing in pit shaft, which is characterized in that
It includes
Data load step is loaded by the obtained magnetic wall thickness logger log data of magnetic wall thickness logger；
Space irregular quadrilateral grid foundation step is logged well according to the magnetic wall thickness loaded in the data load step
Instrument log data creates space irregular quadrilateral grid；And
Space irregular quadrilateral grid load step, loads the space irregular quadrilateral grid；
Wherein, the m magnetic wall thickness well logging of acquisition measured by the magnetic wall thickness logger is loaded in the data load step
Instrument casing thickness curve,
In the space irregular quadrilateral grid foundation step, by j-th of magnetic wall thickness logger at current depth h
The value that instrument probe measures is denoted as THKj(h) h ' is denoted as the next depth and h '=h+ of current depth by (1≤j≤m)
Level, level are depth sampling intervals, then by THKj(h)、THKj+1(h)、THKj(h')、THKj+1(h') this four values are made
For four vertex, a space irregular quadrilateral is constructed, wherein 1≤j≤m, as j=m, j+1 1 is working as a result,
Between preceding depth h and next depth h ', m are constituted between every two adjacent curves of the m casing thickness curve
Space irregular quadrilateral forms the space irregular quadrilateral grid,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
5. the display methods of 3-D image as claimed in claim 4, which is characterized in that
In the space irregular quadrilateral grid load step, current depth range, that is, current depth h and next is loaded
The space irregular quadrilateral grid of depth bounds level between depth h ' then will be previous when depth bounds change
Irregular four side in the space of depth bounds after load changes after the space irregular quadrilateral grid unloading of load
Shape grid.
6. the display methods of 3-D image as claimed in claim 4, which is characterized in that
When irregular four side in the space for foring full well depth in the space irregular quadrilateral grid foundation step
After shape grid, the space irregular four of full well depth is loaded in the space irregular quadrilateral grid load step
Side shape grid.
7. a kind of display methods of 3-D image, for showing the 3-D image of oil pipe or casing in pit shaft, which is characterized in that
It includes
Data load step, load is by the obtained Multi-arm caliber imaging logging tool device well logging number of Multi-arm caliber imaging logging tool device
Accordingly and by the obtained magnetic wall thickness logger log data of magnetic wall thickness logger；
Space irregular quadrilateral grid foundation step, according to the multi-arm caliper loaded in the data load step at
Space irregular quadrilateral grid is created as logger log data and the magnetic wall thickness logger log data；And
Space irregular quadrilateral grid load step, loads the space irregular quadrilateral grid；
Wherein, the n item set of the acquisition as measured by the Multi-arm caliber imaging logging tool device is loaded in the data load step
Bore curve and m magnetic wall thickness logger casing thickness curve of the acquisition as measured by the magnetic wall thickness logger,
And n > m,
In the space irregular quadrilateral grid foundation step, lateral circular arc is carried out to the magnetic wall thickness logger data
Interpolation processing so that on a circumference magnetic wall thickness logger data and the Multi-arm caliber imaging logging tool device three
It is consistent to tie up graphic plotting points, and the Multi-arm caliber imaging logging tool device data and the magnetic are made by longitudinal interpolation processing
The sampling interval of wall thickness logger data is consistent, then, creates the space of the Multi-arm caliber imaging logging tool device data not
Regular quadrilateral, then, by the Multi-arm caliber imaging logging tool device data and the magnetic wall thickness logging instrument after interpolation processing
The longitudinal corresponding depth of device data progress is added processing with laterally corresponding circular arc data, creates magnetic wall thickness logger after being added
The space irregular quadrilateral of data；
Wherein, in the space irregular quadrilateral grid foundation step, the Multi-arm caliber imaging logging tool device is being created
In the trapeziform situation in the space of data, i-th hole diameter value at current depth h is denoted as CALi(h)(1≤i≤
N), h ' is denoted as next depth of current depth and h '=h+level, level is depth sampling interval, then by CALi
(h)、CALi+1(h)、CALi(h')、CALi+1(h') this four values are used as four vertex, construct irregular four side in a space
Shape, wherein 1≤i≤n, as i=n, i+1 1, as a result, between current depth h and next depth h ', the n item
N space irregular quadrilateral is constituted between every two adjacent curves of casing inner diameter curve, and it is irregular to form the space
Quadrilateral mesh,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom；
It wherein, will be in the n casing at current depth h in the space irregular quadrilateral grid foundation step
I-th hole diameter value in diametal curve is denoted as CALi(h) (1≤i≤n) and the magnetic wall thickness logger data after interpolation are denoted as
THKj(h) (1≤j≤n), then magnetic wall thickness logger data after being added are THKk(h)=CALi(h)+THKj(h)(1≤k≤
N, 1≤i≤n, 1≤j≤n), that is, the value of k-th of magnetic wall thickness logger data at current depth h is THKk(h)(1≤
K≤n), also, h ' is denoted as next depth of current depth and h '=h+level, level are depth sampling intervals, that
By THKk(h)、THKk+1(h)、THKk(h')、THKk+1(h') this four values are used as four vertex, construct a space and do not advise
Then quadrangle, wherein 1≤k≤n, as k=n, k+1 1, as a result, between current depth h and next depth h ', n
N space irregular quadrilateral is constituted between every two adjacent curves of casing thickness curve, is formed the space and is not advised
Then quadrilateral mesh,
The step of repeating the above-mentioned formation space irregular quadrilateral grid, until shaft bottom.
8. the display methods of 3-D image as claimed in claim 7, which is characterized in that
In the space irregular quadrilateral grid load step, current depth range, that is, current depth h and next is loaded
The space irregular quadrilateral grid of depth bounds level between depth h ' then will be previous when depth bounds change
Irregular four side in the space of depth bounds after load changes after the space irregular quadrilateral grid unloading of load
Shape grid.
9. the display methods of 3-D image as claimed in claim 7, which is characterized in that
When irregular four side in the space for foring full well depth in the space irregular quadrilateral grid foundation step
After shape grid, the space irregular four of full well depth is loaded in the space irregular quadrilateral grid load step
Side shape grid.
10. the display methods of 3-D image as claimed in claim 7, which is characterized in that
It is handled in the lateral circular interpolation processing using point of proximity interpolation method, linear interpolation method or based on circular arc is suitable for
Cosine function and First Boundary Condition cubic spline function combination interpolation method,
Point of proximity interpolation method or linear interpolation method are used in longitudinal interpolation processing.
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Effective date of registration: 20201021 Address after: No. 6, liupukang, Xicheng District, Beijing 100120 Patentee after: CHINA NATIONAL PETROLEUM Corp. Patentee after: CHINA NATIONAL LOGGING Corp. Patentee after: China National Petroleum Corporation Great Wall Drilling Engineering Co.,Ltd. Address before: 100101 Beijing Chaoyang District Anli Road No. 101 Patentee before: China National Petroleum Corporation Great Wall Drilling Engineering Co.,Ltd. Patentee before: CHINA NATIONAL LOGGING Corp. |