CN101819280B - Logging instrument three-dimensional data interpolation method - Google Patents

Abstract

The invention relates to a logging instrument three-dimensional data interpolation method comprising the following steps of: lowering a downhole instrument, and measuring the aperture of a well by using an energy converter, measuring the lowering depth of the downhole instrument by using a depth meter, and measuring the self-positioning direction of the downhole instrument by using a fiber optic gyro; carrying out single-step linear prediction interpolation on positioning direction data, carrying out linear interpolation on the depth, and respectively carrying out the linear interpolation on aperture numerical values; and computing to obtain a solid figure and parameters of a well bore, thereby providing the logging instrument three-dimensional data interpolation method which comprehensively carries out fusion processing on eight-directional apertures, the depth and the positioning direction data and has good instantaneity and small errors.

Description

Logging instrument three-dimensional data interpolation method

Technical field

The present invention relates to a kind of interpolation method, particularly a kind of three-dimensional data interpolation method that is applied to the ultrasonic logging instrument system.

Background technology

In the boring aperture ultrasonic measurement, its data interpolating form often will combine with its oriented approach.Under oriented approach such as two rope suspension types, guiding steel wire rope type; Like " the DM684 type tiltmeter " of Japan and even " the SKD-1 type heavy caliber deep-well ultrasonic logging instrument " of China; The processing of its log data is all fairly simple, and it radially takes linear interpolation with depth data, and its corresponding direction then is regarded as normal value; Do not carry out any processing, final instrument provides the vertical cross section, horizontal sectional view of several directions etc.Adopting during directed scan-type such as gyro, compass measures, a horizontal section measurement point is many, section configuration is defaulted as circle, has to adopt least square method to carry out circular fit.

The information that preceding kind disposal route can provide is less, has only veteran well logging slip-stick artist just can provide reliable accurate data explanation and well logging conclusion, the popularization and the use of restriction instrument.And in fact and its prerequisite is that the direction of probe immobilizes, and, the down-hole appearance is can be movable, when the wire rope of transferring is longer, and the swing that also can occur strengthening, in this case, the orientation of probe can change within the specific limits.

Disposal route is planted because measuring point is more in the back, and data volume is big, causes the operand of match big, and real-time is poor.In addition, horizontal section also is not necessarily circle, and strictness possibly not be circular, therefore will come match according to circle, may produce than large deviation.

Summary of the invention

To the defective of above-mentioned prior art, the aperture, the degree of depth and the orientation data that the purpose of this invention is to provide a kind of eight directions are carried out fusion treatment comprehensively, and real-time is good, the logging instrument three-dimensional data interpolation method that error is little.

For achieving the above object, the present invention adopts following technical scheme:

A kind of logging instrument three-dimensional data interpolation method may further comprise the steps:

Transfer the down-hole appearance, the orientation of the down-hole appearance self that the degree of depth that the down-hole appearance that the aperture of transducer measuring well, degree of depth appearance are measured is transferred and optical fibre gyro are measured;

The orientation data are carried out single step linear prediction interpolation, the degree of depth is carried out linear interpolation, aperture numerical value is carried out linear interpolation respectively;

Calculate the solid figure and the parameter that obtain pit shaft.

Logging instrument three-dimensional data interpolation method of the present invention; The step of wherein orientation being carried out the single step linear prediction comprises: according to current output angle with several before the output of predicting following a moment of output angle, according to determinacy least square filter Theoretical Calculation predictive coefficient.

Logging instrument three-dimensional data interpolation method of the present invention; Wherein said next output angle constantly; Be made as θ (n+1);

wherein T is the time period, and p is the orientation output number of gauge point, and θ (n) is current output angle.

Logging instrument three-dimensional data interpolation method of the present invention is in the wherein said step according to determinacy least square filter Theoretical Calculation predictive coefficient: calculate predictive coefficient, wherein r=[r through Ra=r _θ(1) r _θ(2) ... R _θ(p)] ^T, for sequence θ (n) (i=n-p+1, n-p+2 ..., n-1, auto-correlation vector n); A=[a (1) a (2) ... A (p)] ^T, be the predictive filter vector; R is the autocorrelation matrix that is made up of the auto-correlation vector, for:

wherein " T " is the computing of commentaries on classics order.

Logging instrument three-dimensional data interpolation method of the present invention, the wherein said degree of depth are made as h (t),

H (t wherein ₁) and h (t ₂) be former and later two down-hole appearance depth locations constantly, t ∈ [t ₁, t ₂], [t ₁, t ₂] be arbitrary time period.

Logging instrument three-dimensional data interpolation method of the present invention, wherein said aperture numerical value is made as d _i(h, θ _N+1), D wherein _i(h ₁, θ _n) and d _i(h ₂, θ _N+2) be the locus of former and later two moment measured values of direction i aperture and measurement point, h ₁=h (t ₁), h ₂=h (t ₂), θ _n=θ (n), θ _N+2=θ (n+2), h (t ₁) and h (t ₂) be former and later two down-hole appearance depth locations constantly, θ (n) and θ (n+2) they are the angle of former and later two down-hole appearance orienting device outputs constantly, lx=d _i(h ₂, θ _N+2) cos (θ _N+2)-d _i(h ₁, θ _n) cos (θ _n), ly=d _i(h ₂, θ _N+2) sin (θ _N+2)-d _i(h ₁, θ _n) sin (θ _n), x=d _i(h, θ _N+1) cos (θ _N+1)-d _i(h ₁, θ _n) cos (θ _n), y=d _i(h, θ _N+1) sin (θ _N+1)-d _i(h ₁, θ _n) sin (θ _n).

Logging instrument three-dimensional data interpolation method of the present invention; The wherein said down-hole appearance of transferring; The step of the orientation of the down-hole appearance self that the degree of depth that the down-hole appearance that the aperture of transducer measuring well, degree of depth appearance are measured is transferred and optical fibre gyro are measured, data send to through sheathed cable carries out interpolation in the surface work station.

Logging instrument three-dimensional data interpolation method of the present invention, the step of the orientation of the down-hole appearance self that wherein said optical fibre gyro is measured are to be fixed on to be fixed on the inner boss of down-hole appearance through said optical fibre gyro to realize.

Logging instrument three-dimensional data interpolation method of the present invention, the wiring of transducer described in the step in the aperture of wherein said transducer measuring well gather and connect ultrasound emission and drive treatment circuit in inside.

Logging instrument three-dimensional data interpolation method of the present invention, wherein said ultrasound emission drives treatment circuit and drives said transducers transmit ultrasonic waves, handles the echo that transducer receives, and information processed is sent to said surface work station carries out interpolation.

The present invention utilizes the three dimensionality interpolation, and aperture, the degree of depth and the orientation of eight directions carried out fusion treatment, and real-time is good, and error is little, thereby obtains the solid figure of more accurate pit shaft.

Description of drawings

Fig. 1 is the synoptic diagram of ultrasonic logging instrument system of the present invention;

Fig. 2 is the cut-open view of ultrasonic logging instrument system of the present invention down-hole appearance;

Fig. 3 is the left pseudosection of Fig. 2;

Fig. 4 is a ultrasonic logging instrument of the present invention down-hole appearance coordinate system synoptic diagram of living in;

Fig. 5 is the anglec of rotation synoptic diagram of Fig. 4;

Fig. 6 is the transducer apparatus synoptic diagram of ultrasonic logging instrument of the present invention;

Fig. 7 is 45 ° of synoptic diagram of rotation of Fig. 6;

Fig. 8 is a ultrasonic logging instrument system of the present invention down-hole appearance coordinate system interpolation of living in synoptic diagram.

Embodiment

Be elaborated below in conjunction with the embodiment of accompanying drawing to logging instrument three-dimensional data interpolation method of the present invention.

Referring to Fig. 1; Ultrasonic logging system of the present invention comprises down-hole appearance 1, degree of depth appearance 2, logging winch 3, sheathed cable 4, pulley 5, surface work station 6 and printer 7; Down-hole appearance 1 is hung by sheathed cable 4; Sheathed cable 4 is walked around pulley 5 and is connected degree of depth appearance 2 and logging winch 3 successively, and logging winch 3 also connects surface work station 6, and the surface work station connects printer 7.

Referring to Fig. 2 and Fig. 3, down-hole appearance 1 comprises: suspender 101, agent set 102, transducer apparatus 103 and counter weight device 104 4 parts.

Suspender 101 is semi-enclosed cylindrical cavity, and end sealing is opened kettle plug type wiring hole 1a in the middle of Closed End, and hole wall is coarse as far as possible, and is welded to connect hook 1b, and the other end connects the open design of end face for band.

The two ends band that agent set 102 is connects the cylindrical structural of end face, is a closed at both ends and the cavity that leaves wiring hole, places ultrasound emission in the cavity and drives treatment circuit 1c and optical fibre gyro 1d; Last sealing surface is the welded type sealing, opens kettle plug formula wiring hole 1e in the centre of Closed End, and hole wall is coarse as far as possible; The bottom of last sealing surface is fixed with " well " cabinet frame 1i; Following sealing surface is cast type sealing, has designed on the sealing surface to be the fixing cannular boss 1f of components and parts, boss 1f side opened round wiring hole 1g; The hole wall of the wiring hole of opening is coarse as far as possible; The pigtail splice of optical fibre gyro 1d stretches out from wiring hole 1g and 1e successively, and optical fibre gyro 1d is symmetrical in down-hole appearance 1 axis and is fixed on the boss 1f, and ultrasound emission drives treatment circuit 1c and is fixed on " well " cabinet frame 1i.The lead-in wire of optical fibre gyro 1d and ultrasound emission driving treatment circuit 1c stretches out from wiring hole 1e respectively and is connected to the sheathed cable 4.

Transducer apparatus 103 adopts the transducer integrated design, connects the cylindrical entity structure of end face for the two ends band.The first-class distribution of cylinder is installed with eight transducer 1h embeddedly, and transducer 1h and housing become one, and the wiring of transducer 1h gathers in inside and in the middle of transducer apparatus 103 upper surfaces, draws, and connects ultrasound emission and drives treatment circuit 1c.Ultrasound emission drives treatment circuit 1c and drives transducer 1h emission ultrasound wave, handles the echo that transducer receives, and information processed is sent in the surface work station 6.

Counter weight device 104 is the metal cylinder body structure, and an end has the connection end face.

Suspender 101, agent set 102, transducer apparatus 103 and counter weight device 104 4 parts are carried out end face with thru-bolt and are connected and fixed.

The course of work of ultrasonic logging instrument system is: it is that sheathed cable 4 hangs on the hook 1b that ties up to suspender 101, through logging winch 3 down-hole appearance 1 is transferred in the pit shaft that down-hole appearance 1 is hung by sheathed cable 4.In transferring process; Ultrasound emission drives treatment circuit 1b driving transducer 1h and sends the range finding ultrasound wave; The ultrasound wave of eight directions runs into the borehole wall and reflects; Echo is received by the transducer 1h of this direction, and transmitted wave and echo conversion back are sent to surface work station 6 through sheathed cable 4, obtain the hole diameter value on these section all directions more after treatment; Degree of depth appearance 2 is measured the residing depth location of down-hole appearance simultaneously; Optical fibre gyro 1d measures the direction of monumented point, and obtains each transducer 1h direction in view of the above.Formed the three-dimensional data group by hole diameter, direction and the degree of depth.Along with transferring of down-hole appearance; On each measurement plane, all obtain corresponding three-dimensional data group; Be sent to surface work station 6 in real time by cable and carry out processing such as interpolation, obtain the solid figure and the correlation parameter of pit shaft and show, can also gather the waveform on each passage; Demonstrate the ultrasound emission ripple and the echo of each passage, so that analyze and regulate.

Referring to Fig. 4, Fig. 5, Fig. 6 and Fig. 7, optical fibre gyro 1d measures carrier angular velocity, and its output is directly proportional with carrier angular velocity.Orientation principle based on optical fibre gyro is: set up down-hole appearance 3 D stereo coordinate system, the down-hole appearance 1 axis axis of well head (promptly perpendicular to) is a coordinate axis z axle, sets up x with the residing surface level of transducer 1h, the y coordinate system.Because of optical fibre gyro 1d, transducer 1h and down-hole appearance 1 shell three for being rigidly connected; So their action on surface level is identical, promptly the residing surface level of three can overlap research, and selecting down-hole appearance 1 upper surface of outer cover here for use is the reference level face; Set up x, the y coordinate system.

Log well when initial, appearance 1 shell is a mark A as well logging initial reference point in the down-hole.At first confirm the real initial orientation of initial time (t0=0) A mark during measurement, establishing down-hole appearance initial orientation is the x direction of principal axis, and promptly the A point is on the x axle, and establishing eight transducer 1h, to be respectively the fixed angle that 1#, 2#, 3#, 4#, 5#, 6#, 7# and 8# order with respect to A be 0 °; 45 °, 90 °, 135 °; 180 °, 225 °, 270 ° and 315 °; In measuring process, because of sheathed cable 4 torsion that suspend in midair rotate the down-hole appearance, thereby the direction of measurement of transducer 1h changes; If the angle that t (t >=0) moment down-hole appearance rotates through is θ, θ carries out integration through the angular velocity omega that optical fibre gyro is measured to obtain (unit is " degree "), promptly

The orientation of each transducer 1h is obtained the angle θ that the relative position and the down-hole appearance of gauge point turns over by them, is: (0+ θ) °, (45+ θ) °; (90+ θ) °, (135+ θ) °, (180+ θ) °; (225+ θ) °, (270+ θ) ° and (315+ θ) °, wherein θ is the value of band sign symbol; Positive sign representes that the direction of down-hole appearance rotation is clockwise, and negative sign representes that the direction of down-hole appearance rotation is counterclockwise.Fig. 6, Fig. 7 have provided and have rotated 45 ° synoptic diagram.

The present invention has adopted the ultrasonic logging instrument system of self-orienting device of ultrasonic logging instrument, adopts disposal route such as three-dimensional data interpolation method to carry out data processing, obtains the solid figure and the correlation parameter of pit shaft and shows.Three-dimensional data interpolation method is described for ease, is provided with referring to three-dimensional system of coordinate shown in Figure 8.Wherein initial point is positioned at the intersection point of well head plane and appearance axis, down-hole (also thinking sheathed cable place straight line), and the x axle points to measures 0 down-hole appearance shell marked point A point direction constantly, and y axle and x, z axle are vertical.Along with transferring of down-hole appearance, the rotation around self axis can take place in the down-hole appearance, and its angle that turns over (being the angle of gauge point and x axle) can be provided by optical fibre gyro.Three-dimensional interpolation can carry out after each actual measurement, and last plane 1j and lower plane 1k obtain surveying three-dimensional data for the actual measurement plane, and the midplane 1m between last plane 1j and the lower plane 1k is the interpolation gained, the interpolation three-dimensional data that obtains.Also can between twice measured data, insert out more plane.

The three-dimensional data of well logger can be thought separate in fact.For the aperture data, along with the slow rotation of down-hole appearance 1, before and after certain direction twice measurement point not only on the z direction of principal axis (promptly axially) change; And direction (with x axle clamp angle) also has little change on surface level; Measured value is 2 distances to transducer on the borehole wall, and borehole wall variation randomness radially is bigger, therefore; This is the variation of a three-dimensional, and interpolation need be launched at three dimensions.If three-dimensional is taken all factors into consideration, interpolation is very complicated.But for the ultrasonic logging instrument system among the present invention, the variation of three dimensions is almost completely independent, so the three dimensions interpolation can be divided on three dimensions and independently carried out.Therefore, eight can carry out to aperture, direction and depth data three dimensionality interpolation technique successively, at first combine the directed characteristics of optical fibre gyro, and the direction data are carried out interpolation; To the characteristics of elevator system, depth data is carried out interpolation again; On this basis, based on the aperture data characteristics, the aperture data are carried out interpolation.

At first consider the interpolation of orientation (also being gauge point A and x axle clamp angle).It is because there is torsion in the wire rope of suspention that direction can change, and in the process of transferring, discharges gradually, drives instrument and slowly rotates.This rotation can be thought at the uniform velocity at short notice, and the variation of consequent direction also can be thought gradual change.In view of these characteristics, the interpolation of direction number codomain can adopt the method for single step linear prediction to carry out.

Suppose that in time period T the output of the orientation of gauge point A has p, the current θ (n) that is output as, then next output constantly can be released through outside predicting by its preceding p output, for:

$\mathrm{\θ}(n+1)=\underset{k=0}{\overset{p-1}{\mathrm{\Σ}}}a\left(k\right)\mathrm{\θ}(n-k)---\left(1\right)$

Theoretical according to the determinacy least square filter, making predicated error reach minimum survey wave filter should satisfy:

Ra＝r (2)

R=[r wherein _θ(1) r _θ(2) ... R _θ(p)] ^T, for sequence θ (n) (i=n-p+1, n-p+2 ..., n-1, auto-correlation vector n); A=[a (1) a (2) ... A (p)] ^T, be the predictive filter vector; R is the autocorrelation matrix that is made up of the auto-correlation vector, for:

$R=\left[\begin{array}{cccc}{r}_{\mathrm{\θ}}\left(0\right)& r_{\mathrm{\θ}}\left(1\right)& ...& r_{\mathrm{\θ}}(p-1)\\ r_{\mathrm{\θ}}\left(1\right)& r_{\mathrm{\θ}}\left(0\right)& ...& r_{\mathrm{\θ}}(p-1)\\ .& .& .& .\\ .& .& .& .\\ .& .& .& .\\ r_{\mathrm{\θ}}(p-1)& r_{\mathrm{\θ}}(p-2)& ...& r_{\mathrm{\θ}}\left(0\right)\end{array}\right]---\left(2\right)$

According to formula (2) relation, can obtain p predictive coefficient a (1), a (2) ..., a (p), the interpolation direction can be provided by formula (1).

Next considers the degree of depth interpolation on z axially.The variation of Z shaft position comes from transfers down-hole appearance 1 on the logging winch 4, and measures through degree of depth appearance 2.And twice measuring intervals of TIME in front and back is not more than 1 second, in the so short time, can think that down-hole appearance 1 doing vertical uniform motion, and then the benefit of the interpolation on the vertical axial dimension adopts linear interpolation.If former and later two moment down-hole appearance depth locations are respectively h (t ₁) and h (t ₂), then to arbitrary t ∈ [t ₁, t ₂], its depth location h (t) is:

$h\left(t\right)=\frac{h\left(t_2\right)-h\left(t_1\right)}{t_2-t_1}---\left(4\right)$

Consider radial interpolation at last.The boring borehole wall is extremely irregular, and the parabola interpolation that slickness is good, cubic spline interpolation also are not suitable for this kind situation, and effect is not necessarily fine; And calculation of complex; Therefore the interpolation on the radial dimension adopts linear interpolation, and simple, error can be very not big yet.Former and later two moment measured values of direction i aperture are relevant with the locus of measurement point, are expressed as d respectively _i(h ₁, θ _n) and d _i(h ₂, θ _N+2), h wherein ₁=h (t ₁), h ₂=h (t ₂), θ _n=θ (n), θ _N+2=θ (n+2).Be (h, θ then to the locus _N+1) measurement point, its aperture numerical value d _i(h, θ _N+1) satisfy the relation in (5) formula, separating this equation can obtain.

$d_i(h,x_{n+1})=\frac{d_i(h_2,{\mathrm{\&theta;}}_{n+2})-d_i\left({\mathrm{<figure-callout\; id="1"\; label="h"\; filenames="HDA0000021082430000023.png,HDA0000021082430000024.png"\; state="\{\{state\}\}">h</figure-callout>}}_1{\mathrm{\&theta;}}_n\right)}{\sqrt{{(h_2-h_1)}^2+l{x}^2+l{y}^2}}\sqrt{{(h-h_1)}^2+x^2+y^2}---\left(5\right)$

Wherein:

lx＝d _i(h ₂，θ _n+2)cos(θ _n+2)-d _i(h ₁，θ _n)cos(θ _n)，ly＝d _i(h ₂，θ _n+2)sin(θ _n+2)-d _i(h ₁，θ _n)sin(θ _n)，

x＝d _i(h，θ _n+1)cos(θ _n+1)-d _i(h ₁，θ _n)cos(θ _n)，y＝d _i(h，θ _n+1)sin(θ _n+1)-d _i(h ₁，θ _n)sin(θ _n)。

If measured a time, the measured value of direction just has a, through the prediction interpolation, can obtain direction of measurement 2a-1 time.Actual measured value and predicted value cross arrangement, therefore above-mentioned subscript n and n+2 representative is true measurement, and the n+1 representative is predicted value.

Adopt optical fibre gyro directed; Optical fibre gyro is installed in instrument internal; Its oriented approach is simple, and volume is little, and is in light weight; Can effectively cancel in similar " SKD-1 type heavy caliber ultrasonic logging instrument " and " DM684 type tiltmeter " system numerous and diverse clumsy guidance systems such as winch weight wire rope, simplify instrument greatly, simplify the operation, the convenient use.Usable range behind the instrument miniaturization (measuring like the minor diameter wellhole) is able to widen.Optical fibre gyro does not receive magnetic field and influence of temperature variation basically, so better than orientation accuracy height, the degree of stability of fluxgate, magnetic compass and mechanical gyro.The optical fibre gyro orientation makes that appearance self bearing accuracy, reliability and the instrument scope of application are further promoted under the existing well.

Above embodiment describes preferred implementation of the present invention; Be not that scope of the present invention is limited; Design under the prerequisite of spirit not breaking away from the present invention; Various distortion and improvement that the common engineering technical personnel in this area make technical scheme of the present invention all should fall in the definite protection domain of claims of the present invention.

Claims (5)

1. a logging instrument three-dimensional data interpolation method is characterized in that, may further comprise the steps:

Transfer the down-hole appearance, the orientation of appearance self under the degree of depth that appearance is transferred under the aperture of transducer measuring well, the degree of depth appearance measuring well and the optical fibre gyro measuring well;

The orientation data are carried out single step linear prediction interpolation, the degree of depth is carried out linear interpolation, aperture numerical value is carried out linear interpolation;

Calculate the solid figure and the parameter that obtain pit shaft, wherein,

The step of orientation being carried out the single step linear prediction comprises: according to several next output angles constantly of output angle prediction constantly before current output angle and the said current output angle, according to determinacy least square filter Theoretical Calculation predictive coefficient;

Said next output angle constantly; Be made as θ (n+1);

wherein, a (k) is a predictive coefficient, θ (n-k) is a n-k output angle constantly; When k=0; θ (n-k)=θ (n), θ (n) is the output angle of current time, and p is the orientation output number of gauge point;

In the said step: calculate predictive coefficient, wherein r=[r through Ra=r according to determinacy least square filter Theoretical Calculation predictive coefficient _θ(0), r _θ(1) ..., r _θ(p-1)] ^T, be the auto-correlation vector of sequence θ (i), wherein, i=n-p+1, n-p+2 ..., n-1, n; A=[a (0), a (1) ..., a (p-1)] ^T, be the predictive filter vector; R is the autocorrelation matrix that is made up of the auto-correlation vector, for:

$R=\left[\begin{array}{cccc}{r}_{\mathrm{\&theta;}}\left(0\right)& r_{\mathrm{\&theta;}}\left(1\right)& \&CenterDot;\&CenterDot;\&CenterDot;& r_{\mathrm{\&theta;}}(p-1)\\ r_{\mathrm{\&theta;}}\left(1\right)& r_{\mathrm{\&theta;}}\left(0\right)& \&CenterDot;\&CenterDot;\&CenterDot;& r_{\mathrm{\&theta;}}(p-2)\\ \&CenterDot;& \&CenterDot;& \&CenterDot;& \&CenterDot;\\ \&CenterDot;& \&CenterDot;& \&CenterDot;& \&CenterDot;\\ \&CenterDot;& \&CenterDot;& \&CenterDot;& \&CenterDot;\\ r_{\mathrm{\&theta;}}(p-1)& r_{\mathrm{\&theta;}}(p-2)& \&CenterDot;\&CenterDot;\&CenterDot;& r_{\mathrm{\&theta;}}\left(0\right)\end{array}\right],$ Wherein " T " is for changeing the order computing;

The said degree of depth is made as h (t), H (t wherein ₁) and h (t ₂) be former and later two down-hole appearance depth locations constantly, t ∈ [t ₁, t ₂], [t ₁, t ₂] be arbitrary time period;

Said aperture numerical value is made as d _i(h, θ _N+1), $d_i(h,{\mathrm{\&theta;}}_{n+1})=\frac{d_i(h_2,{\mathrm{\&theta;}}_{n+2})-d_i(h_1,{\mathrm{\&theta;}}_n)}{\sqrt{{(h_2-h_1)}^2+{\left(\mathrm{Lk}\right)}^2+{\left(\mathrm{Ly}\right)}^2}}\sqrt{{(h-h_1)}^2+x^2+y^2},$ Wherein, h is a t down-hole appearance depth location constantly, d _i(h ₁, θ _n) and d _i(h ₂, θ _N+2) be former and later two inside diameter measurement values constantly of direction i, h ₁=h (t ₁), h ₂=h (t ₂), θ _n=θ (n), θ _N+1=θ (n+1), θ _N+2=θ (n+2), h (t ₁) and h (t ₂) be former and later two down-hole appearance depth locations constantly, θ (n) and θ (n+2) they are the angle of former and later two down-hole appearance orienting device outputs constantly, lx=di (h ₂, θ _N+2) cos (θ _N+2)-d _i(h ₁, θ _n) cos (θ _n), ly=d _i(h ₂, θ _N+2) sin (θ _N+2)-d _i(h ₁, θ _n) sin (θ _n), x=d _i(h, θ _N+1) cos (θ _N+1)-d _{I (}h ₁, θ _n) cos (θ _n), y=d _i(h, θ _N+1) sin (θ _N+1)-d _i(h ₁, θ _n) sin (θ _n).

2. logging instrument three-dimensional data interpolation method according to claim 1; It is characterized in that; The said down-hole appearance of transferring; The step of the orientation of appearance self under the degree of depth that appearance is transferred under the aperture of transducer measuring well, the degree of depth appearance measuring well and the optical fibre gyro measuring well, data send in the surface work station (6) through sheathed cable (4) carries out interpolation.

3. logging instrument three-dimensional data interpolation method according to claim 2; It is characterized in that the step of the orientation of appearance self is to be fixed in the inner boss (1f) of down-hole appearance (1) through said optical fibre gyro (1d) to go up realization under the said optical fibre gyro measuring well.

4. logging instrument three-dimensional data interpolation method according to claim 3 is characterized in that, the wiring of transducer described in the step in the aperture of said transducer measuring well (1h) gathers and connects ultrasound emission and drives treatment circuit (1c) in inside.

5. logging instrument three-dimensional data interpolation method according to claim 4; It is characterized in that; Said ultrasound emission drives treatment circuit (1c) and drives said transducer (1h) emission ultrasound wave; Handle the echo that transducer receives, and information processed is sent to said surface work station (6) carry out interpolation.

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