CN107450102A - Multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio - Google Patents

Multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio Download PDF

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CN107450102A
CN107450102A CN201710633546.4A CN201710633546A CN107450102A CN 107450102 A CN107450102 A CN 107450102A CN 201710633546 A CN201710633546 A CN 201710633546A CN 107450102 A CN107450102 A CN 107450102A
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model
resolution ratio
geological data
data
envelope generating
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高照奇
潘志斌
高静怀
张金淼
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Xian Jiaotong University
CNOOC Research Institute Co Ltd
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CNOOC Research Institute Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V1/00Seismology; Seismic or acoustic prospecting or detecting
    • G01V1/28Processing seismic data, e.g. for interpretation or for event detection
    • G01V1/30Analysis
    • G01V1/306Analysis for determining physical properties of the subsurface, e.g. impedance, porosity or attenuation profiles
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V2210/00Details of seismic processing or analysis
    • G01V2210/60Analysis
    • G01V2210/62Physical property of subsurface
    • G01V2210/622Velocity, density or impedance
    • G01V2210/6222Velocity; travel time
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V2210/00Details of seismic processing or analysis
    • G01V2210/60Analysis
    • G01V2210/66Subsurface modeling
    • G01V2210/667Determining confidence or uncertainty in parameters

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Abstract

The invention discloses a kind of multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio:First, the controllable envelope generating operator of resolution ratio is established, frequency band range of the inverting using geological data is controlled by adjusting parameter;Secondly, based on the controllable envelope generating operator structure full waveform inversion method of resolution ratio, the gradient of derived object function pair model parameter and the calculation formula of iteration step length;Finally, renewal is iterated to model parameter using steepest descent method, untill meeting algorithm termination condition.The present invention has the stronger ability for overcoming cycle-skipping problem, is more suitable for the modeling of lithologic deposit rate pattern.Particularly when low-frequency information shortage in geological data or too high dominant frequency, advantage becomes apparent.No matter whether the present invention have sufficient low-frequency information in geological data, and the geological data after the controllable envelope generating operator effect of resolution ratio has sufficient low-frequency information;The Parameter adjustable of the present invention, it is possible to achieve Multi-scale inversion.

Description

Multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio
Technical field
The invention belongs to technical field of geophysical exploration, is related to a kind of earth model p wave interval velocity parameter inversion method, special It is not related to a kind of multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio.
Background technology
Oil and natural gas is the strategic resource concerning national economic development and national security, is pushed further into China's oil gas The exploration and development of resource belongs to national Major Strategic.Lithologic deposit is most important exploration in China's long duration from now on Development object.Method of seismic prospecting is the main method of oil-gas exploration, and speed parameter is the important parameter of oil and gas detection.China's rock Property oil-gas reservoir longitudinally there is strong anisotropism in Thin interbeds texture, in transverse direction in geology mostly, how to lithologic deposit It is the key issue that China's oil-gas exploration faces that speed parameter, which carries out fine description,.Full waveform inversion be it is a kind of directly from prestack Shake data are set out, and the method for accurately descending medium velocity model is obtained using prestack big gun collection geological data full detail.Cause This, full waveform inversion is to portray the effective ways of lithologic deposit speed parameter.
Traditional full waveform inversion is a kind of to obtain Data Matching of the underground medium high-resolution parameter model as target Method.Full waveform inversion weighs observation data with calculating the object function of Data Matching degree to obtain ground by minimizing one Lower medium parameter.Earliest by full waveform inversion method push to practicality be Lailly and Tarantola work.They propose can To carry out cross-correlation using the main story wave field by epicenter excitation and the anti-pass wave field excited by data residual error to build target letter Several gradients to model parameter.This error-duration model technology, which overcomes explicit Frechet derivatives of asking for, needs a large amount of wave field forward modelings This defect.Traditional full waveform inversion uses L2Norm observes the matching degree of data and calculating data to weigh, and it is applied to Reflected seismic information faces many problems when building high-resolution rate pattern, such as:Full waveform inversion is required in observation data Low-frequency information or initial model comprising abundance accurately ensure that algorithm can overcome cycle skipping problem and then avoid enough It is absorbed in local extremum.Therefore, reduce full waveform inversion just turns into the one of full waveform inversion field to the degree of dependence of initial model Individual study hotspot.
Bunks proposes multiple dimensioned full waveform inversion method in time-domain, and it is anti-to propose frequency domain Full wave shape by Pratt afterwards Drill method.Both approaches carry out inverting in refutation process first by low-frequency data.The target formed due to low-frequency data Function is more linear compared to high-frequency data, and the convergence domain of global minimum is bigger, so now algorithm is wanted to initial model Asking will be lower.Inversion result based on low-frequency data can be as the initial model of the full waveform inversion based on high-frequency data. By being gradually added into high-frequency data in inverting, high-precision rate pattern may finally be obtained.Although multi-scale method has one A little successful application cases, but this kind of method can not fundamentally overcome cycle-skipping problem.When this kind of method is applied to reality Following problems may be encountered during data:It is highly difficult to typically set up a sufficiently accurate initial model;The low frequency of real data Information is often by noise effect;The offset distance of real data is often limited.
Many scholar's research, which are established for full waveform inversion, compares L2This problem of the more excellent measurement criterion of norm.Their mesh Mark is to establish that convexity is more preferable, and robustness is stronger and can overcome the object function of cycle-skipping problem very well.Carried out with conventional method Waveform Matching is different, the matching of information when this method is emphasized to travel to wave field.The representative work of this thinking is exactly The wave equation Travel Time Inversion that Luo and Schuster is proposed.With traditional Travel Time Inversion method dependent on artificial pickup wave field Information is different during travelling, and this method obtains forward modeling data using wave equation, can be considered as a kind of and use mutually related objects The full waveform inversion method of function.However, because rate pattern caused by wave equation Travel Time Inversion method is excessively smooth, its It cannot be guaranteed that can be that full waveform inversion establishes sufficiently accurate initial model.Chi etc. and Luo etc. proposes anti-in Full wave shape The middle instantaneous amplitude (envelope) using wave field is drilled to build the object function of inverting.Wu etc. demonstrates the vibration of geological data envelope The information of ultralow frequency is carried with decay, this information can be used to estimate the rate pattern of long wavelength.But this target Function still can be perplexed by cycle skipping problem.
The content of the invention
The shortcomings that it is an object of the invention to overcome above-mentioned prior art, there is provided one kind is based on the controllable envelope generation of resolution ratio The multiple dimensioned full waveform inversion method of operator.
The purpose of the present invention is achieved through the following technical solutions:
This multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio, comprises the following steps:
1) original earthquake data is gathered, then the geological data collected is pre-processed, prestack big gun is obtained after processing Collect geological data, be designated as dobs(t,xr;xs), wherein t represents time variable;xr,xsThe respectively position of wave detector and focus;
2) Rectangular grid geological model is built, sets spatial spreading interval, grid scale and the forward modeling of discrete grid block The model time sampling interval;
3) geological data is analyzed, provides the geological data frequency band range that inverting uses;
4) geological model p wave interval velocity v (x) initial model is given, and specifies object function J (v (x)) to be optimized;
5) gradients of the object function J (v (x)) to model parameter v (x) is asked for, is efficiently asked using error-duration model technology Solution;
6) iteration step length during steepest descent method iteration is asked for, is determined in frequency domain using linear search method;
7) global minimum of object function is obtained by steepest descent method iteration, so obtain the 3) step it is given In frequency band range, the inversion result of p wave interval velocity;
8) frequency band range of geological data used when adjusting inverting, and the result of step 7) is used as initial model, Repeat step 3) to all effective band scopes 7), have been circulated, export optimal p wave interval velocity model.
Further, above-mentioned steps 2) in, spatial spreading interval, grid scale and the forward model time of discrete grid block adopt Sample interval was determined according to the geophone offset of actual seismic data, effective band scope and sampling time;Selected mesh parameter When standard is so that based on grid progress finite-difference forward modeling, not only meets stability condition but also effectively suppress numerical value Frequency dispersion.
Further, above-mentioned steps 3) in, analysis first receives the effective band scope of geological data, first makes initial stage in inverting With the geological data of rather low-frequency, with the progress of inverting, gradually expand the frequency band range that inverting uses.
Further, above-mentioned steps 4) in, geological model p wave interval velocity v (x) initial model is to true p wave interval velocity model A rough estimate, initial model is set as laterally homogeneous, the increased rate pattern of vertical linear;The object function is to carve The standard of optimal solution is drawn, to calculate geological data and the fitting degree observed between geological data or error size as standard.
Further, observation big gun collection geological data and point calculated between big gun collection geological data based on model are weighed in setting 2 norms of the controllable envelope data residual error of resolution are object function, i.e. object function is:
In formula, T is the time span of forward modeling;G () is the controllable envelope generating operator of resolution ratio;Ss,rCome for a Restricted operator Ensure only have focus and wave detector to be located at x respectivelysAnd xrWavefield data be used to build object function;ucal(t, x;xs) it is shake Source is located at xsCalculating wave field;The smaller explanation rate pattern v (x) of target function value J (v (x)) are more accurate.
Further, above-mentioned steps 5) in, object function J (v (x)) is to use error-duration model to model parameter v (x) gradient Technology carries out Efficient Solution.
Further, above-mentioned steps 6) in, iteration step length is to be determined in frequency domain using linear search method.
Further, above-mentioned steps 8) in, it is next after the geological data in using a certain frequency band range is iterated inverting The information that the geological data frequency band range that wheel inverting uses than last round of iteration time width, will make more high frequencies be used to carry out instead Drill.
The invention has the advantages that:
The step of method proposed by the invention, may be summarized to be following three step:First, the present invention establishes a kind of resolution ratio Controllable envelope generating operator, the operator can control frequency band range of the inverting using geological data by adjusting parameter;Secondly, originally Invention is based on the controllable envelope generating operator of resolution ratio, constructs full waveform inversion method, has derived its object function and model is joined Several gradients and the calculation formula of iteration step length;Finally, renewal is iterated to model parameter using steepest descent method, until Untill meeting algorithm termination condition.
Compared with conventional full waveform inversion method, this method has the stronger ability for overcoming cycle-skipping problem, is more suitable for Lithologic deposit rate pattern models.Particularly when in geological data low-frequency information lack or dominant frequency it is too high when, this method it is excellent Gesture becomes apparent.There is method proposed by the invention the reason for above-mentioned advantage to be:First, no matter whether have in geological data Sufficient low-frequency information, the geological data after the controllable envelope generating operator effect of resolution ratio have sufficient low-frequency information; Secondly, the Parameter adjustable of the controllable envelope generating operator of resolution ratio, it is possible to achieve Multi-scale inversion.
Brief description of the drawings
Fig. 1 is schematic flow sheet of the present invention;
Fig. 2 gives the amplitude spectrum of three groups of different parameters time shift linear operators;
Fig. 3 is the result of Marmousi model examples:(a) true velocity model;(b) initial velocity model;(c)0-8Hz Data inversion rate pattern;(d) 0-12Hz data inversions rate pattern;(e) 0-16Hz data inversions rate pattern;(f)0- 20Hz data multiply rate pattern.
Embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings:
High-precision rate pattern be it is a kind of can be applied to reservoir portray and hydrocarbon indication with rock property phase The attribute of pass, full waveform inversion are a kind of to obtain the anti-of underground medium high precision velocity model based on prestack big gun collection geological data Artistic skills art.The present invention proposes a kind of multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio.The party Method directly from geological data, constructs non-linear by using the information and nonlinear operator of geological data different frequency bands Multiple dimensioned full waveform inversion method, substantially increase the ability for overcoming cycle skipping problem and fine rate pattern.
The material base of the present invention is a large amount of geological datas collected by field high-resolution seismic exploration collecting device.This The multiple dimensioned full waveform inversion method framework based on the controllable envelope generating operator of resolution ratio proposed is invented as shown in figure 1, tool Body step difference is as follows:
1) original earthquake data is gathered, conventional pretreatment then is carried out to the geological data collected, including:Static correction, Obtain prestack big gun collection geological data after the processing such as dynamic correction, noise compacting, removal face ripple (also needs to remove when handling marine data Terrible ripple operation), it is designated as dobs(t,xr;xs), wherein t represents time variable;xr,xsThe respectively position of wave detector and focus;
2) Rectangular grid geological model is built, sets spatial spreading interval, grid scale and the forward modeling of discrete grid block The simulated time sampling interval;Spatial spreading interval, grid scale and the forward model time sampling interval of discrete grid block are roots Factually the geophone offset of border geological data, effective band scope and sampling time determine;The standard of selected mesh parameter is so that When carrying out finite-difference forward modeling based on the grid, not only meet stability condition but also effectively suppress numerical solidification.
By taking two dimensional inversion as an example, discrete grid block it needs to be determined that parameter have:Transverse grid interval dx, longitudinal grid interval Dz, transverse grid number Nx and longitudinal grid number Nz, in addition also need to determine forward simulation time sampling interval dt.In practice Can be according to geological data effective band scope, earthquake record time span, geological data observation system and Courant- Friedrichs-Lewy (CFL) conditions determine relevant parameter;
3) analysis receives the effective band scope of geological data first, and the earthquake number of rather low-frequency is first used initial stage in inverting According to, with the progress of inverting, the frequency band range that gradually expansion inverting uses.
4) geological model p wave interval velocity v (x) initial model is given, and specifies object function J (v (x)) to be optimized:Ground Matter model p wave interval velocity v (x) initial model is a rough estimate to true p wave interval velocity model, when typically can be by walking Inverting is obtained, or initial model is set as into laterally homogeneous, the increased rate pattern of vertical linear;The object function is to carve The standard of optimal solution is drawn, to calculate geological data and the fitting degree observed between geological data or error size as standard.This Observation big gun collection geological data and the controllable bag of resolution ratio calculated between big gun collection geological data based on model are weighed in setting in invention 2 norms of network residual error are object function, i.e. object function is:
In formula, T is the time span of forward modeling;Ss,rEnsure that only focus and wave detector are located at respectively for a Restricted operator xsAnd xrWavefield data be used to build object function;ucal(t,x;xs) it is that focus is located at xsCalculating wave field;G () is point The controllable envelope generating operator of resolution.The smaller explanation rate pattern v (x) of target function value J (v (x)) are more accurate.Calculated in above formula Wave field ucal(t, x;xs) meet following Chang Midu ACOUSTIC WAVE EQUATIONs:
In formula, v (x) is the P-wave angle value at the x of locus;Δ is laplacian;F (t) is source function.Formula (3) the controllable envelope generating operator G () of resolution ratio used in is defined as follows:
In formula, " * " represents time-domain convolution algorithm;H () represents Hilbert transform;D () represents time shift and linearly become Change;D (t) is a certain linear function, an,NξnFor d (t) three parameters.D (t) amplitude spectrum in formula (5)Join with it Several relations is as follows:
In formula, ωsFor sample frequency.When being illustrated in figure 2 given three groups of different parameters, the form of d (t) amplitude spectrums. The amplitude spectrum that Fig. 2 demonstrates d (t) can be adjusted by adjusting its parameter.
5) gradient of the object function to model parameter is asked for, error-duration model technology can be used to carry out Efficient Solution.Target Function J (v (x)) is to carry out Efficient Solution using error-duration model technology to model parameter v (x) gradient;The pass of the solution procedure Key is the focus item for determining error-duration model wave field.
Use us(t) u is representedcal(t,x;xs), ds,r(t) d is representedobs(t,xr;xs) and fs(t) f (t) δ (x- are represented xs).In view of primary condition, due to focus fs(t) obtained pressure field u is exciteds(t) can be expressed as:
In formula, m is model parameter, i.e. v (x), using Adjoint State Method, can obtain following adjoint state equation:
In formula, y (t) is the focus item of error-duration model.Finally the expression formula of gradient is:
In formula, m is model parameter;qsMeet the wave equation as defined in formula (8).
6) step-length during steepest descent method iteration is asked for, is determined in frequency domain using linear search method.Iteration step length is It is determined in frequency domain using linear search method;Only used in inverting the reason for frequency domain asks for iteration step length The information of geological data partial-band, the step-length used during only with this partial information to determine iteration are only reasonably.In order to Simplicity of exposition, following mark agreement is done,Expression model parameter is m (x), focus fs(t) frequency of the wave field excited Rate domain expression formula;For dobs(t,xr;xs) frequency domain expression formula.So step-length α of the n-th step iterationnCan be according to such as Lower formula is asked for:
In formula, mn(x) it is the model parameter after the n-th step iteration;dn(x) it is the negative gradient direction of the (n+1)th step;ε be one compared with Small number, it is necessary to assure:
In formula, max () is to take max function.
7) global minimum of object function is obtained by steepest descent method iteration, and then obtains what is given in step 3) step In frequency band range, the inversion result of p wave interval velocity.The iterative formula of wherein steepest descent method is as follows:
mn+1(x)=mn(x)+αndn(x) (12)
In formula, mn(x),mn+1(x) it is respectively that the model parameter of the n-th step and the (n+1)th step iteration (is herein rate pattern v (x));αnFor iteration step length;dn(x) it is iteration direction, in steepest descent method, iteration direction is negative gradient direction.
By above-mentioned steepest descent method iteration, optimal P wave velocity moulds in current data frequency band range can be obtained Type.
8) frequency band range of geological data used when adjusting inverting, and the result of step 7) is used as initial model, Repeat step 3) to all effective band scopes 7), have been circulated, export optimal p wave interval velocity model.When a certain frequency band model of use After geological data in enclosing is iterated inverting, when the geological data frequency band range that next round inverting uses will be than last round of iteration Width, the information of more high frequencies is set to be used to carry out inverting.
The mode for the geological data frequency band range that general adjustment inverting uses is gradually to expand inverting with the progress of inverting The frequency ranges of data used, the geological data of high frequency is gradually added to inverting.
Model example
The specific implementation process of the present invention is applied to Marmousi rate patterns.The model laterally shares 5090 meters, indulges To sharing 1330 meters, true velocity model such as Fig. 3 (a) of the model is shown.The given one-dimensional rate pattern as shown in Fig. 3 (b) (increasing linearly to 3500m/s from 1500m/s from shallow to deep) is used as initial velocity model, and the model is true to underground medium The rough estimate of rate pattern.
48 big guns are uniformly arranged in earth's surface altogether in experiment, big gun spacing is 100 meters, and each big gun is uniformly laid in ground by 510 The wave detector of table is received, and detector interval is 10 meters.The Ricker wavelets that dominant frequency is 20Hz are used in experiment as focus, The sampling interval laterally and longitudinally is set in experiment as 10 meters, time sampling interval 0.001s, when forward modeling carries out 3001 altogether Punctum, big gun integrate the record time as 3s.In experiment, it compared for method proposed by the present invention and overcome week more by force with a kind of generally acknowledged having The full waveform inversion method of ripple skip capability:Envelope inverting.
First, from the initial model shown in Fig. 3 (b), using proposed by the invention non-linear multiple dimensioned in experiment Full waveform inversion method is estimated underground medium velocity model.4 different frequencies of geological data have been used in experiment altogether Band scope:0-8Hz, 0-12Hz, 0-16Hz and 0-20Hz, inverting is carried out, obtained inversion result is respectively such as Fig. 3 (c)-(f) It is shown.Secondly, from the initial model shown in Fig. 3 (b), using envelope inversion method come to underground medium velocity in experiment Model is estimated that Fig. 3 (g) show the rate pattern obtained using envelope inversion method inverting.
Experimental result shown in Fig. 3, which can be seen that envelope inversion method, can not effectively solve this inversion problem, No matter its obtained inversion speed model and true velocity model in structure and numerically have obvious difference.With envelope inverting Method forms a sharp contrast, it is proposed by the invention it is non-linear it is multiple dimensioned can obtain portraying the good of rate pattern, and And it is portrayed precision and progressively increased with the extension using geological data frequency band.This experimental result confirms that the present invention is carried Going out method has the ability that overcomes cycle skipping more stronger than envelope inversion method, further demonstrate side proposed by the invention The superiority of method.

Claims (8)

  1. A kind of 1. multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio, it is characterised in that including with Lower step:
    1) original earthquake data is gathered, then the geological data collected is pre-processed, prestack big gun collection is obtained after processing Data are shaken, are designated as dobs(t,xr;xs), wherein t represents time variable;xr,xsThe respectively position of wave detector and focus;
    2) Rectangular grid geological model is built, sets spatial spreading interval, grid scale and the forward model of discrete grid block Time sampling interval;
    3) geological data is analyzed, provides the geological data frequency band range that inverting uses;
    4) geological model p wave interval velocity v (x) initial model is given, and specifies object function J (v (x)) to be optimized;
    5) gradients of the object function J (v (x)) to model parameter v (x) is asked for, Efficient Solution is carried out using error-duration model technology;
    6) iteration step length during steepest descent method iteration is asked for, is determined in frequency domain using linear search method;
    7) global minimum of object function is obtained by steepest descent method iteration, and then obtained in the 3) given frequency band model of step In enclosing, the inversion result of p wave interval velocity;
    8) frequency band range of the geological data used when adjusting inverting, and use the result of step 7) to be repeated as initial model Step 3) exports optimal p wave interval velocity model to all effective band scopes 7), have been circulated.
  2. 2. the multiple dimensioned full waveform inversion method according to claim 2 based on the controllable envelope generating operator of resolution ratio, its It is characterised by, in the step 2), spatial spreading interval, grid scale and the forward model time sampling interval of discrete grid block It is to be determined according to the geophone offset of actual seismic data, effective band scope and sampling time;Selecting the standard of mesh parameter is During so that carrying out finite-difference forward modeling based on the grid, not only meet stability condition but also effectively suppress numerical solidification.
  3. 3. the multiple dimensioned full waveform inversion method according to claim 2 based on the controllable envelope generating operator of resolution ratio, its It is characterised by, in the step 3), analysis first receives the effective band scope of geological data, is first used relatively initial stage in inverting The geological data of low frequency, with the progress of inverting, gradually expand the frequency band range that inverting uses.
  4. 4. the multiple dimensioned full waveform inversion method according to claim 2 based on the controllable envelope generating operator of resolution ratio, its It is characterised by, in the step 4), geological model p wave interval velocity v (x) initial model is one to true p wave interval velocity model Rough estimate, initial model are set as laterally homogeneous, the increased rate pattern of vertical linear;The object function be portray it is optimal The standard of solution, to calculate geological data and the fitting degree observed between geological data or error size as standard.
  5. 5. the multiple dimensioned full waveform inversion method according to claim 5 based on the controllable envelope generating operator of resolution ratio, its Be characterised by, setting weigh observation big gun collection geological data and based on model calculate big gun collection geological data between resolution ratio it is controllable 2 norms of envelope data residual error are object function, i.e. object function is:
    In formula, T is the time span of forward modeling;G () is the controllable envelope generating operator of resolution ratio;Ss,rEnsure for a Restricted operator Only focus and wave detector are located at x respectivelysAnd xrWavefield data be used to build object function;ucal(t,x;xs) it is focus position In xsCalculating wave field;The smaller explanation rate pattern v (x) of target function value J (v (x)) are more accurate.
  6. 6. the multiple dimensioned full waveform inversion method according to claim 2 based on the controllable envelope generating operator of resolution ratio, its It is characterised by, in the step 5), object function J (v (x)) to model parameter v (x) gradient is entered using error-duration model technology Row Efficient Solution.
  7. 7. the multiple dimensioned full waveform inversion method according to claim 2 based on the controllable envelope generating operator of resolution ratio, its It is characterised by, in the step 6), iteration step length is to be determined in frequency domain using linear search method.
  8. 8. the multiple dimensioned full waveform inversion method according to claim 2 based on the controllable envelope generating operator of resolution ratio, its It is characterised by, in the step 8), after the geological data in using a certain frequency band range is iterated inverting, next round inverting The information that the geological data frequency band range used than last round of iteration time width, will make more high frequencies be used to carry out inverting.
CN201710633546.4A 2017-07-28 2017-07-28 Multiple dimensioned full waveform inversion method based on the controllable envelope generating operator of resolution ratio Pending CN107450102A (en)

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CN109459789A (en) * 2018-12-18 2019-03-12 吉林大学 Time-domain full waveform inversion method based on amplitude decaying and linear interpolation
CN110007340A (en) * 2019-02-01 2019-07-12 西安理工大学 Salt dome speed density estimation method based on the direct envelope inverting of angle domain
CN110095773A (en) * 2019-06-03 2019-08-06 中南大学 The two-parameter inversion method of the multiple dimensioned Full wave shape of Ground Penetrating Radar
CN111175822A (en) * 2020-01-19 2020-05-19 吉林大学 Strong scattering medium inversion method for improving direct envelope inversion and disturbance decomposition
CN111239819A (en) * 2020-02-12 2020-06-05 西安理工大学 Direct envelope inversion method with polarity based on seismic channel attribute analysis
CN111580163A (en) * 2020-05-28 2020-08-25 中国科学院地质与地球物理研究所 Full waveform inversion method and system based on non-monotonic search technology
CN113640878A (en) * 2021-08-12 2021-11-12 西南石油大学 Method for constructing azimuth-apparent velocity radar map by using virtual seismic source scanning
CN113848253A (en) * 2021-08-20 2021-12-28 国网江苏省电力有限公司技能培训中心 Acoustic emission monitoring method and device for water seepage state of main transformer substrate of simulation transformer substation
CN115166822A (en) * 2022-08-02 2022-10-11 中国矿业大学(北京) Reservoir elastic parameter prediction method and device and electronic equipment

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