Embodiment
Hereinafter, it will describe in detail with reference to accompanying drawing and exemplary embodiment and changed according to a kind of multi -components of the present invention
Ripple crack prediction method.
Specifically, multi-component converted wave can produce separating phenomenon in EDA media, can be carried out using converted shear wave
Fractured Zone predicts that the fine description for Fractured oil and gas reservoir provides foundation.Converted shear wave refers to use during ground observation
Compressional wave excites, and inclined seismic wave is converted shear wave to that can produce reflection wave, up shear wave therein during elastic interface.
Converted shear wave possesses whole properties of shear wave, and when up converted shear wave and fracture strike oblique, separating phenomenon can equally occur,
It is split into fast transverse wave and slow shear-wave.Fast, slow wave after division travel to earth's surface, decompose and lay equal stress on according to earth's surface observation system coordinate system
New synthesis, is received by multi -components wave detector.Therefore, when survey line and fractuer direction are not parallel, in ground level component recording all
Containing fast, slow wave information, then carry out fast, slow wave using multi -components record and separate, according to the time difference of fast wave and slow wave, waveform,
The information such as orientation, density and the time difference of Fracture System are studied in amplitude decay etc. in turn, and predict crack hair according to information above
Educate.
The innovation of the present invention is that the method for nonparametric statistics is introduced crack prediction method by method of the invention
In, the data after conversion are carried out when building object function to compile order operation, the covariance matrix based on order are then built, by line
Property correlation be changed into nonlinear correlation, improve the degree of accuracy of calculating, for subterranean fracture identify and predict more reliable foundation is provided.
Fig. 1 shows multi-component converted wave crack prediction method schematic flow sheet according to an exemplary embodiment of the present invention.
Fig. 2 shows shear wave splitting according to an exemplary embodiment of the present invention and fracture development position relation schematic diagram.
The invention provides a kind of multi-component converted wave crack prediction method, as shown in figure 1, in the example of the present invention
In property embodiment, methods described can include:
Step S01, the horizontal component X and Y of converted wave Three-dimendimal fusion geological data are rotated, obtained postrotational
Converted wave radial component geological data R (i.e. radial component R) and cross stream component geological data T (i.e. cross stream component T).
More than, three-component receiver can be used in D3C seismic exploration, three-component receiver is respectively water
Flat X, Y-component receiver, and vertical Z component receiver.Due to Inline and CrossLine directions and shear wave polarization side
To inconsistent, cause X, the existing P-SV ripples of shear wave recorded in Y-direction also there are P-SH ripples, do not polarize implication clearly, it is each
Wave field on polarization direction mutually mixes, and is unfavorable for the processing of converted wave data and the research and extraction of shear wave splitting information.Cause
This, in order to obtain consistent conversion wave field, when handling Three-dimendimal fusion data, it is necessary to two component energies by horizontal direction
Redistribute, converted wave coordinate is rotated, realize from field acquisition coordinate system (X-Y coordinate) to radial direction-lateral coordinates system (R-
T coordinate systems) rotation.After coordinate rotation processing, converted wave main energetic is distributed on the radial component, cross stream component main generation
The anisotropic influence of table.Coordinate can be rotatably:
Wherein, radial component R and the angle in X-component directionOr
Anisotropy processing operation can be carried out to postrotational converted wave, the anisotropy processing operation belongs to ability
The conventional method in domain.
Step S02, analysis window scope is determined, the radial component earthquake number of pending sampled point is intercepted according to analysis window
According to R and cross stream component geological data T.
In the present example embodiment, the selection of analysis window need to include target depth range, i.e., comprising Fractured respectively to
Different in nature stratum, can be controlled or period control targe depth bounds by layer position.Since pending sampled point, work as analysis
After window determines, the radial component geological data and cross stream component geological data to all sampled points are respectively according to the analysis of determination
Window ranges are intercepted, and the data of interception are stored in different arrays to carry out follow-up calculating respectively.
More than, in same work area, the layer position scope that the analysis window scope of all sampled points is chosen is consistent, example
Such as, controlled by layer position, the window scope of all sampled points is taken comprising layer position 1 and layer position 2, but model corresponding to each sampled point
It is different in layer position 1 and layer position 2 to enclose value, for example sampled point C scope can take 1200ms (layer position 1)~1300ms
(layer position 2), sampled point D scope can take 1300ms (layer position 1)~1400ms (layer position 2).
Step S03, the anglec of rotation is carried out to radial direction component earthquake data and cross stream component geological data and time delay is changed, is obtained
Component after to conversion.
In the present example embodiment, because the data recorded in radial component and cross stream component are fast transverse wave and slow shear-wave
Information reconfiguring when earth's surface receives, i.e., be in radial component and cross stream component fast transverse wave and slow shear-wave information it is folded
Add.Therefore, it is necessary to be separated fast transverse wave and slow shear-wave by way of rotation.Fast transverse wave and slow shear-wave are by same simultaneously
One splitting of converted shear and obtain, their waveform is similar, and the spread speed of slow shear-wave is slower than fast transverse wave spread speed, two
There is the time difference between person.Therefore, it is necessary to carry out delay compensation to slow shear-wave on the basis of angle rotation.
Specifically, the radial component R and cross stream component T of the interception to pending sample point respectively first carry out angle rotation
Turn, can be rotatably:
Obtain component P (θi+n, t) and Q (θi+n, t), time delay, Q (θ then are carried out to postrotational cross stream component datai+n,t
+ti+n) it is Q (θi+n, t) in the upward time shift t of each valuei+n/ S point, S are sample rate, θi+nFor the anglec of rotation, ti+nFor time delay,
θiTo originate the anglec of rotation, tiFor initial delay, n represents integer, θi+n=θi+ n Δs θ, ti+n=ti+ n Δs t, θmin≤θi+n≤
θmaxAnd tmin≤ti+n≤tmax, Δ θ is that the anglec of rotation circulates step-length, and Δ t is that time delay circulates step-length, [θmin,θmax] it is the anglec of rotation
Spend threshold range, [tmin,tmax] it is delay threshold scope.
More than, Q (θi+n,t+ti+n) it is Q (θi+n, t) in the upward time shift t of each valuei+n/ S point refer to for example, when
Move ti+n/ S takes 1 point, then Q (θi+n, t) in data group Q1,Q2,Q3,Q4... one point of time shift, Q (θi+n,t+ti+n) corresponding to
Array is changed into from Q2Start, as Q2,Q3,Q4...。
Since start angle and initial delay, i.e., initial value starts, and by angle rotary and time-delay calculation formula, obtains
The postrotational component of radial component geological data angle of interception is P (θi+n, t), and to the postrotational cross stream component earthquake of angle
Data carry out the component after time delay is changed as Q (θi+n,t+ti+n)。
Here, time-delay calculation is mainly for postrotational cross stream component, i.e., to the postrotational cross stream component earthquake number of angle
According to P (θi+n, t) and the component after time delay is changed is carried out as Q (θi+n,t+ti+n).Anglec of rotation θi+nWith time delay ti+nIt is required in threshold value
In the range of value, threshold range can be setting value or empirical value.For example, the threshold range of the anglec of rotation typically can be [- π,
π] or [0,2 π].
For example, set processing after multi-component data sample rate as S, analysis window is controlled by layer position, layer position hor1For
When window top, hor2For when window bottom.Calculating is started the cycle over from sampled point A (p, q), wherein, p represents sampled point A wire size, and q is represented
Sampled point A Taoist monastic name, by radial component data and cross stream component data, window ranges are intercepted according to the above analysis, interception
Data are stored in array R=[r respectively1,r2,r3,......,rn] and array T=[t1,t2,t3,......,tn] in calculated.
Then, θ is carried out to array R and Ti+nThe rotation of angle, for example, the threshold range of the anglec of rotation can be set as 0 <
θi+n< π;Then delay compensation is carried out to postrotational cross stream component data, the threshold range of time delay can be set to [0, T], obtain
The postrotational component of radial component geological data angle to interception is P (θi+n, t), the postrotational cross stream component earthquake number of angle
Component after being changed according to progress time delay is Q (θi+n,t+ti+n)。
Step S04, object function is built, asks for object function minimum value.
In the present example embodiment, the structure of object function can include:
Step S04.1, first, to component P (θi+n, t) and Q (θi+n,t+ti+n) carry out compiling order operation, i.e., ask for respectively point
Measure P (θi+n, t) and Q (θi+n,t+ti+n) order, be designated as rgP and rgQ, wherein, θi+nThe anglec of rotation is represented, t represents time, ti+n
Time delay is represented, n represents integer.
Step S04.2, build matrixWherein,
M represents that P or Q, N represent P or Q, i.e.,
ρrgM,rgNPearson correlation coefficients are represented, cov (rgM, rgN) represents to ask covariance function, σrgPRepresent rgP mark
Poor, the σ of standardrgQRepresent rgQ standard deviation.
Step S04.3, calculating matrix U (θi+n,t+ti+n) characteristic value eig (U (θi+n,t+ti+n)).Wherein, θi+n=θi+
N Δs θ, ti+n=ti+ n Δs t, θmin≤θi+n≤θmaxAnd tmin≤ti+n≤tmax, θiTo originate the anglec of rotation, tiFor initial delay,
Δ θ is that the anglec of rotation circulates step-length, and Δ t is that time delay circulates step-length, [θmin,θmax] it is anglec of rotation threshold range, [tmin,tmax]
For delay threshold scope.
Here, it is necessary to judge anglec of rotation θi+nWith time delay ti+nWhether in threshold range, if meeting threshold condition,
It can continue cycling through and take the new anglec of rotation and time delay value, bring step S03 into, obtain different component P (θi+n, t) and Q (θi+n,
t+ti+n), and then obtain different characteristic values.
Step S04.4, structure object function F (θ, t)=min [eig (U (θi+n,t+ti+n))], n values since 0, n is every
Secondary increase by 1, obtains object function minimum value, wherein, min [eig (U (θi+n,t+ti+n))] represent to seek characteristic value eig (U (θi+n,t
+ti+n)) minimum value.
Step S05, the corresponding anglec of rotation and time shift when record object function F (θ, t) takes minimum value.
Here, when object function takes minimum value, the anglec of rotation now is the azimuth of fracture development, and time delay is
The time difference of Concerning With Fast-slow Waves.When converting wavefront splitting, the Concerning With Fast-slow Waves time difference is bigger, shows that crack is more developed, and therefore, time differences of Concerning With Fast-slow Waves can be with
A kind of important indicator as development degree of micro cracks in oil.
Step S06, fast transverse wave is carried out to pending sampled point and slow shear-wave separates, according to the travelling of fast transverse wave and slow shear-wave
The time difference calculates fracture development intensity.
In the present example embodiment, radial component geological data and cross stream component geological data include fast, slow horizontal stroke
Ripple information, therefore, it is necessary to parallel-vertical shear wave is separated from radial component geological data and cross stream component geological data.
When confirming to have fracture development to be sampled, triangular transformation method or Alford spinning solutions can be used.Three
Angular transformation method and Alford spinning solutions be cross stream component geological data by way of coordinate rotation at fracture with
And radial component geological data carries out isolated fast transverse wave and slow shear-wave.
More than, triangular transformation method is using formulaFast transverse wave and slow shear-wave are obtained,
Wherein, S1Represent fast transverse wave, S2Represent slow shear-wave.
The basic ideas of Alford spinning solutions can include:If fracture strike azimuthal angle beta and radial component forward direction orientation
Angle α angle is θ=β-α,
Defining orthogonal spin matrix G is:
Construction receives signal matrix:
Wherein, R1、T1And R2、T2The radius vector and transversal vector of respectively two different orientations are full between two azimuths
Sufficient orthogonality relation.
According to Alford spin theories:V=RSRT,
Wherein,S1Represent fast transverse wave, S2Represent slow shear-wave,
To Formula V=RSRTAfter carrying out orthogonal rotation, S=R is obtainedTVR。
The method for calculating fracture development intensity includes:Fracture development intensity KC=Δ T/TS1, wherein, Δ T=TS1-
TS2, TS1For the fast transverse wave section back wave existence time after separation, TS2In the presence of the slow shear-wave section back wave after separation
Between.
Step S07, repeat step S01 are recycled to next pending sampled point until geological data calculates to step S06
Finish.
Here, under treatment one to be sampled when, it is also necessary to upper one processing sampled point wire size and Taoist monastic name enter
Row judges, for example, it is assumed that sampled point A (p, q), when meeting start_inline < p < end_inline, start_
During crossline < q < end_crossline, then next pending sampled point is may loop to, until geological data calculates
Finish, wherein, p is the wire size of pending sampled point, and q is the Taoist monastic name of pending sampled point, and start_inline is work area starting
Wire size, end_inline are that work area terminates wire size, and start_crossline is work area starting Taoist monastic name, and end_crossline is work
Area terminates Taoist monastic name.
It should be noted that in circular treatment sampled point, sampling the order of dot cycle can enter according to wire size and Taoist monastic name
Row circulation.For example, in cyclic process, first keep certain wire size p constant, in Taoist monastic name scope start_crossline < q < end_
Circulated successively according to Taoist monastic name in crossline, after the completion of Taoist monastic name circulation, wire size is changed into p+1, then circulates all Taoist monastic names successively.
Step S08, draw fracture development synthesis distribution map.
Here, after all sampled points calculate, the data result of each sampled point is preserved, forms two numbers
According to i.e. fracture development azimuth and fracture development intensity, then drawing and split in comprehensive fracture development orientation and fracture development intensity
The comprehensive distribution map of seam development.The method for drawing fracture development synthesis distribution map includes:The fracture development of each sampled point is used
Short-term represents that the azimuth of the orientation references fracture development of short-term, the length of short-term represents fracture development intensity.
Shear wave splitting and the graph of a relation in fracture development orientation are as shown in Figure 2.Fast transverse wave is along fracture development side after shear wave splitting
Position, slow shear-wave and fracture development oriented perpendicular, according to the principle of stacking of ripple, include in radial component and cross stream component data
Speed wave component.
In summary, the present invention is evaded by the way that nonparametric statistical method is incorporated into multi-component converted wave FRACTURE PREDICTION
Requirement of the conventional linear correlation technique to earthquake data distribution, when carrying out covariance matrix calculating, instead of rank correlation
Result of calculation, the correlation between two vectors can be described well, improve accuracy in computation, make prediction result it is more accurate,
Reliably.
Although above by describing the present invention with reference to exemplary embodiment, those skilled in the art should be clear
Chu, in the case where not departing from the spirit and scope that claim is limited, the exemplary embodiment of the present invention can be carried out each
Kind modifications and changes.