CN105319581B - A kind of efficient time-domain full waveform inversion method - Google Patents
A kind of efficient time-domain full waveform inversion method Download PDFInfo
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Abstract
The invention provides a kind of efficient time-domain full waveform inversion method, belongs to oil seismic exploration data efficient rate, low storage, high precision velocity modeling field.The first step, using source polarity is random, source position is random, number random three randomizing scheme in source is randomly formed the super big gun collection of different frequency bands to original observation earthquake record;Second step, using more GPU parallel computings acceleration time domain single order forms based on CUDA ACOUSTIC WAVE EQUATION system and Time Migration of Elastic Wave Equation system high-order staggered-mesh finite difference simulate, obtain GPU simulation the super big gun collection of the i-th freq frequency bands;CPU and GPU coordination techniques are used in forward simulation, are propagated with the different focus of more GPU nuclear mockups, the data boundary and last moment all wave fields of source wavefield are stored in calculator memory.
Description
Technical field
The invention belongs to oil seismic exploration data efficient rate, low storage, high precision velocity modeling field, and in particular to one
The efficient time-domain full waveform inversion method of kind, for huge amount of calculation and mass memory needed for the full wavefield velocity modeling of time-domain
Problem, encoded using focus, more GPU combine parallel computing strategy and no data I/O efficiency frontier storage strategy it is complete
Into efficient, high-resolution velocity modeling.
Background technology
Using pre-stack seismic wave number according to kinematics and dynamic information, full waveform inversion, which has, to be disclosed under complex geological condition
Geological structure, the ability of rock parameter, it is considered as velocity modeling precision highest technology at present.But three-dimensional full-wave shape
Also by a variety of limitations, two of which Major Difficulties are that huge amount of calculation and amount of storage do not obtain preferably always for the realization of inverting
Ground solves.
Because the correct implementation of full waveform inversion needs hundreds and thousands of secondary forward simulations, thus the efficiency of forward simulation is to restrict
Where the essence of full waveform inversion development.To two dimensional inversion problem, using the frequency domain Wave equation forward modeling of direct solution
Technology efficiency when handling more focus simulations is higher, but to three-dimensional problem, even if direct using the higher nested subdivision of efficiency
Solution, the computation complexity of frequency domain forward modeling are also up to nsnwO(n4Logn), required internal memory O (n5), its amount of calculation and storage
Huge, current computer condition is measured to be difficult to realize.To D integral pin-fin tube, the time computation complexity of time finite element method forward modeling
For O (n4), required internal memory complexity is O (n3), relative to the forward modeling of three-dimensional frequency domain, time-domain forward modeling has that amount of calculation is small, internal memory
Take low advantage.Mainly there are two kinds of thinkings to the Study on Acceleration of forward simulation at present:First, by the acceleration of computer hardware with
Improve the computational efficiency (such as the GPU parallel computations based on CUDA platforms) of inverting, two, raising algorithm computational efficiency in itself,
More source inversion technical thoughts based on random phase encoding are preferable, and its basic thought is all single source data superpositions
Handled into single or multiple super source datas, and to super source data.Due to full waveform inversion computational efficiency with
The number approximation of focus is directly proportional, thus the computational efficiency of full waveform inversion can be greatly improved using super focus.
Another problem that Conventional Time domain full waveform inversion faces is to need mass data to input and store, magnanimity number
According to input and output (I/O) higher challenge is not only proposed to computer hardware, and had a strong impact on inverting calculating effect
Rate.Even if using GPU parallel computings to when needing the Conventional Time domain full waveform inversion of output data to accelerate, improved efficiency has
Limit.Moussa (2009) shows that 91% run time shows for CPU internal memories and GPU when being studied using GPUPU reverse-time migration
The data transfer deposited, this is due to that the source wavefield at each moment need to be stored on hard disk, caused by limiting GPU parallel efficiency.
The content of the invention
The problem of present invention is directed to amount of calculation needed for time-domain full waveform inversion and huge amount of storage, there is provided a kind of efficient
Time-domain full waveform inversion method, a kind of efficient processing means are provided for the high precision velocity modeling of large-scale data.
The present invention is achieved by the following technical solutions:
The first step, using source polarity is random, source position is random, number random three randomizing scheme in source is to original observation earthquake note
Record is randomly formed the super big gun collection of different frequency bands;
Second step, the ACOUSTIC WAVE EQUATION system using more GPU parallel computings acceleration time domain single order forms based on CUDA
The high-order staggered-mesh finite difference of system and Time Migration of Elastic Wave Equation system is simulated, and the i-th freq frequency bands for obtaining GPU simulations surpass
Big gun collection;CPU and GPU coordination techniques are used in forward simulation, are propagated with the different focus of more GPU nuclear mockups, source wavefield
Data boundary and last moment all wave fields be stored in calculator memory;The handle when calculating the source wavefield of forward-propagating
The wave field value and all wave field values of maximum moment for the Particle Vibration Velocity component that each moment interior zone has a common boundary with PML regions are deposited
Storage is in GPU video memorys;
3rd step, calculating wave field residual error and cost functional value (subtract each other to obtain wave field with the super big gun collection and original super big gun collection of simulation
Residual error is superimposed cost functional value of summing to obtain), then judge whether to meet end condition, if it is, representing the Full wave shape of the frequency range
Inverting iteration terminates, and using the model of inverting as the initial velocity model of next frequency band full waveform inversion, is transferred to the 6th step,
If it is not, then it is transferred to the 4th step;
4th step, wave detector anti-pass wave field is calculated using more GPU parallel computings, while use effective stored boundary plan
Slightly reconstruct source wavefield with more GPU parallel computings and calculate gradient of the cost functional relative to model parameter;
5th step, using gradient class iterative algorithm renewal speed model, super big gun is calculated to the rate pattern after renewal and remembered
Record and do residual error with the super big gun record of the first step;
6th step, judge whether to meet frequency end condition, if it is, the 7th step is transferred to, if it is not, then returning to first
Step;
7th step, output "current" model.
What the first step was realized in:
Input original single shot record and original Ricker wavelet parallel using MPI, original single-shot is remembered using Wiener filter
Record and the filtering of original Ricker wavelet, obtain the earthquake single shot record and seismic wavelet of different frequency bands;
It is sub to all earthquakes using function, random function and sign function that random seed is produced in C language built-in function
Ripple assigns a number between [- 1,1], that is, assigns each seismic wavelet different colors, according to the positive and negative of seismic wavelet color
Property, the corresponding polarity of seismic wavelet is assigned, this process is that source polarity is random;
The color for changing the seismic wavelet of source polarity is sorted using Heap algorithm or quick sort, color value is gradual
Increase, and gone out at random according to total super source wavelet number and total single seismic wavelet number using the random function in C language
The number of single seismic wavelet in each super focus, this process are that source number is random;
According to each super focus single seismic wavelet number to after sequence change source polarity single seismic wavelet
Superposition, the position for each seismic wavelet being now superimposed is also corresponding random, and this process is that source position is random, and it is random thus to complete three
Scheme forms the super focus of different frequency bands;
The super big gun collection that three randomizing schemes form different frequency bands is completed to earthquake single shot record in the same way.
Used Wiener filter is:
FWienerIt is Wiener filter, WOriginalIt is primary signal, WTargetFor desired signal, ω is angular frequency, ε
Choose 10-6。
The second step includes:
By obtaining initial velocity model after true model large scale Gaussian smoothing;
It is specific as follows using propagation of the high-order staggering mesh finite-difference simulation wave equation in underground medium:
The whole domain of two dimension is considered as a kernel function when being calculated using GPU, the whole domain of two dimension
More sub-regions are divided into, be 16 × 16 grid nodes per the sizes of sub-regions, often sub-regions are mapped to CUDA's
Thread block, each mesh point is independently updated using the individual process of thread block, the parallel thread in each time step uses GPU
All nodal values are updated simultaneously, are calculated so as to complete the wave field of whole region;
For three-dimensional data, three-dimensional data is arranged in two-dimensional slice according to the direction most tieed up slowly, then according to two-dimemsional number
According to processing identical mode, three-dimensional nodes are mapped to corresponding process, complete the forward simulation of whole region.
End condition in 3rd step is as follows:
Wherein, dkRepresent the cost functional value of the wave field residual error of kth time iteration, dk-1Represent that the wave field of -1 iteration of kth is residual
The cost functional value of difference, ε are the amount of a very little.
4th step includes:
The anti-pass wave field gone out using adjoint equation calculating wave detector;
The particle vibration speed that each moment interior zone and PML regions are had a common boundary when calculating the source wavefield of forward-propagating
Spend component wave field value and all wave field values of maximum moment be stored in GPU video memorys, forward-propagating the maximum moment the 3rd
Data storage in step is delivered to CPU internal memories by GPU video memorys;During inverse time anti-pass detection residual error wave field, CPU is stored
Wave field copies GPU video memorys to, and the residual error of the super big gun collection calculated according to the 3rd step is based on Huygen's principle to the approximate weight of source wavefield
Accelerated when structure, reconstruct source wavefield and calculating detection wave field using more GPU parallel computings.
Compared with prior art, the beneficial effects of the invention are as follows:Fluctuated using more GPU parallel computings acceleration time domains
The numerical simulation of equation system, the simulation number of focus is reduced using the focus coding techniques of three randomizing schemes, makes time-domain complete
The efficiency of waveform inversion greatly promotes, and using GPU calculate caused by the data input output of full waveform inversion for tradition
The low problem of efficiency, the present invention use effective stored boundary strategy, the input and output of data are at utmost reduced, so that entirely
The computational efficiency of waveform inversion is further lifted, and the final correct implementation for time-domain full waveform inversion provides a kind of height
Imitate feasible technical scheme.
Brief description of the drawings
Fig. 1:The step block diagram of the inventive method
Fig. 2:Monokaryon GPU carries out the acceleration effect comparison diagram of finite-difference forward modeling to two-dimension elastic wave equation
Fig. 3:The acceleration effect that monokaryon GPU carries out time finite element method forward simulation to three dimensional elasticity wave equation contrasts
Figure
Fig. 4-1:True Marmousi2 models
Fig. 4-2:Initial velocity of longitudinal wave model
Fig. 4-3:ACOUSTIC WAVE EQUATION 5.0Hz Multi-scale inversion results, cross-talk noise are serious
Fig. 4-4:ACOUSTIC WAVE EQUATION 15.0Hz Multi-scale inversion result cross-talk noises are suppressed
Fig. 5-1:Initial Overthurst models (Lame constants lambda)
Fig. 5-2:Initial Overthurst models (Lame constants mu)
Fig. 5-3:Time Migration of Elastic Wave Equation 5.0Hz Multi-scale inversion results (Lame constants lambda)
Fig. 5-4:Time Migration of Elastic Wave Equation 5.0Hz Multi-scale inversion results (Lame constants mu)
Fig. 5-5:Time Migration of Elastic Wave Equation 10.0Hz Multi-scale inversion results (Lame constants lambda)
Fig. 5-6:Time Migration of Elastic Wave Equation 10.0Hz Multi-scale inversion results (Lame constants mu)
Fig. 5-7:Time Migration of Elastic Wave Equation 15.0Hz Multi-scale inversion results (Lame constants lambda)
Fig. 5-8:Time Migration of Elastic Wave Equation 15.0Hz Multi-scale inversion results (Lame constants mu)
Embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings:
The present invention is a kind of based on focus phase code and more GPU parallel computings and no data I/O efficient time domain
Wave equation full waveform inversion method, a kind of efficient processing means are provided for the high precision velocity modeling of large-scale data.
As shown in figure 1, the inventive method includes:
The first step, using source polarity is random, source position is random, number random three randomizing scheme in source is to original observation earthquake note
Record is randomly formed the super big gun collection of different frequency bands;
It is specific as follows:
Input original single shot record and original Ricker wavelet parallel using MPI, original single-shot is remembered using Wiener filter
Record and the filtering of original Ricker wavelet, obtain the earthquake single shot record and seismic wavelet of different frequency bands, used Wiener filter
For:
Wherein FWienerIt is Wiener filter, WOriginalIt is primary signal, WTargetFor desired signal, ω is angular frequency
Rate, ε are the values of a very little, and in order to avoid the generation of wild effect, the present invention chooses 10-6.Using being produced in C language built-in function
Srand () function, random function rand () and the sign function of raw random seed all seismic wavelets are assigned [- 1,1] it
Between a number, that is, assign each seismic wavelet different colors, according to the positive negativity of seismic wavelet color, assign seismic wavelet
Corresponding polarity, it is random now to complete source polarity;
The color for changing the seismic wavelet of source polarity is sorted using Heap algorithm or quick sort, color value is gradual
Increase, and using the random function rand () in C language according to total super source wavelet number and total single seismic wavelet number
Go out the number of single seismic wavelet in each super focus at random, this process is that source number is random;
Hereafter according to each super focus single seismic wavelet number to after sequence change source polarity single earthquake
Wavelet is superimposed, and the position for each seismic wavelet being now superimposed is also corresponding random, and this process is that source position is random, thus completes three
Randomizing scheme forms the super focus of different frequency bands, and the super big gun of different frequency bands is formed to earthquake single shot record with same implementation
Collection.
Second step, using more GPU parallel computings acceleration time domain single order forms based on CUDA ACOUSTIC WAVE EQUATION and
The high-order staggered-mesh finite difference simulation of Time Migration of Elastic Wave Equation system.
Second step is the artificial synthesized super big gun collection of forward simulation and the super big gun collection obtained using the first step and the super big gun collection simulated
Residual error is done, wherein the wavelet used is super source wavelet, initial model after true model large scale Gaussian smoothing by obtaining.
Forward problem is the basis of inversion problem, the ACOUSTIC WAVE EQUATION system of single order form that the present invention uses for:
It is write as operational form:
Lv=f
Wherein:
The Time Migration of Elastic Wave Equation system for the single order form that the present invention uses for:
It is write as operational form:
Lv=f
Wherein:
Propagation of the present invention using high-order staggering mesh finite-difference simulation wave equation in underground medium, outside wave field
When pushing away, the wave field of each grid node used in renewal the node previous moment wave field value and surroundings nodes before half when
The wave field value at quarter, the problem have good concurrency, when being calculated using GPU the whole domain (first step of two dimension
Super big gun collection is obtained, second step is to simulate super big gun collection with GPU, it is therefore an objective to seeks both residual errors) it is considered as a kernel function, two dimension
Whole domain is divided into more sub-regions, and the size per sub-regions is 16 × 16 grid nodes, is mapped per sub-regions
To CUDA thread block, each mesh point is independently updated using the individual process of thread block, and GPU is used in each time step
In parallel thread simultaneously update all nodal values, so as to complete the wave field of whole region calculate.For three-dimensional problem, three-dimensional
Data are arranged in two-dimensional slice according to the direction (i.e. the y-axis direction of cartesian coordinate system) most tieed up slowly, the processing based on two-dimensional problems
Model split process block and process, three-dimensional nodes are mapped to corresponding process, complete the forward simulation of whole region.Due to each
The numerical simulation of individual focus (the corresponding node of a focus) is separate, thus CPU/ can be used in forward simulation
GPU coordination techniques, propagated with the different focus of more GPU nuclear mockups.
3rd step, using (second step) during GPU speed-up computation source wavefields the data boundary of source wavefield and last
One moment all wave field is stored in calculator memory (i.e. " border wave field is deposited in forward modeling (CPU) " in Fig. 1);
4th step, wave detector anti-pass wave field is calculated using more GPU parallel computings, while use effective stored boundary plan
Slightly (efficiency frontier storage strategy is a kind of method for reconstructing source wavefield, and the method needs to use the data of storage, when conventional
Between in the full waveform inversion of domain reconstruct source wavefield use CPU, it is of the invention to use GPU.) and the reconstruct shake of more GPU parallel computings
Source wave field (i.e. using the border wave field at each moment stored during normal propagation as boundary condition, storage last
Then all wave fields at moment solve the wave equation of backpropagation as primary condition, this is asking for Equations of Mathematical Physics
Solution problem, i.e. restructural wave field is solved.) and calculate cost functional (gradient can regard focus as relative to the gradient of model parameter
Wave field and the cross-correlation with wave field, after two wave fields solve, gradient also can accordingly solve.);
The present invention is using effective stored boundary strategy reconstruct source wavefield, when calculating the source wavefield of forward-propagating each
Wave field value (the border of storage for the Particle Vibration Velocity component that individual moment interior zone has a common boundary with PML (perfectly matched layer) region
The number of plies is the half of spatial accuracy difference, when reconstructing wave field using low order differential to the excessive thought of higher difference) and
Maximum moment all wave field values are stored in GPU video memorys that (this storage is to be needed when calculating using GPU in the GPU that applies
Deposit, after the wave field at maximum moment is obtained, it is necessary to the data transfer needed in GPU internal memories into CPU internal memories, can regard as
The pilot process of 3rd step), above-mentioned data storage is delivered to CPU internal memories by GPU video memorys at the maximum moment of forward-propagating.
During inverse time anti-pass detection residual error wave field, CPU storage wave fields are copied to GPU video memorys, the super big gun calculated according to second step
The residual error of collection is based on Huygen's principle to can be used when source wavefield approximate reconstruction, reconstruct source wavefield and calculating detection wave field
More GPU parallel computings accelerate.The process, it is only necessary to the internal memory of video memory and CPU to GPU does data transfer twice, and not
Need to data storage and reading, need data storage and the reverse-time migration read and full waveform inversion compared to tradition, it is only more
This process is reconstructed to interior zone source wavefield, the process, which can use, to be not added with CPML boundary conditions (equation in front is all
Using ACOUSTIC WAVE EQUATION and equations for elastic waves based on CPML (convolution perfectly matched layer -), to suppress the back wave on border, and reconstruct
During source wavefield, using the ACOUSTIC WAVE EQUATION and equations for elastic waves for being not added with CPML) ACOUSTIC WAVE EQUATION and Time Migration of Elastic Wave Equation mould
Intend, its computational efficiency greatly promotes when using more GPU.After reconstructing wave field, with gradient can be solved with wave field cross-correlation, ladder
Degree can use optimized algorithm to complete the renewal of rate pattern iteration, i.e. full waveform inversion after solving.
The anti-pass wave field (i.e. adjoint wave field in Fig. 1) that the present invention is gone out using adjoint equation calculating wave detector, to single order speed
Degree-stress ACOUSTIC WAVE EQUATION, its expression formula are:
LTλ=g
Wherein:
To one-order velocity-stress Time Migration of Elastic Wave Equation, the adjoint equation used for:
LTλ=g
Wherein:
The ACOUSTIC WAVE EQUATION cost functional that the present invention uses on the gradient of model parameter expression formula for:
(sound wave)
Wherein NS represents to use the number of the super focus obtained after three randomizing schemes.
The Time Migration of Elastic Wave Equation cost functional that the present invention uses on model parameter pressure gradient expression formula for:
5th step, efficient time domain fluctuation side is realized based on three randomizing schemes, multi-grid method and Wiener filter technique
The multiple dimensioned full waveform inversion of journey.
Using gradient class iterative algorithm renewal speed model, super big gun record is calculated the rate pattern after renewal and with the
The super big gun record of one step does residual error, when residual error meets end condition:
When the frequency range full waveform inversion iteration terminate, and the model of inverting as next frequency
Initial model with full waveform inversion, second step is repeated to the 5th step, when the frequency end condition for meeting to give is:Given is anti-
Final multiple dimensioned full waveform inversion flow, most termination of the output "current" model as full waveform inversion are completed when drilling frequency band number
Fruit.
During using the super focus full waveform inversion encoded based on focus, there can be cross-talk noise in inversion result, and
The introducing of super focus makes the nonlinear degree of inversion problem further deepen, and to suppress random cross-talk noise, reduces inverting
Non-linear property, the present invention are (i.e. anti-in the 5th step using the multiple dimensioned time-domain full waveform inversion algorithm based on multi-grid method
Drill successively from low-frequency range to the thought of high frequency inverting.), inverting progressively becomes more meticulous from big grid, gradually fine from Anomalies of Backgrounds body
To objective body.
Fig. 2 is when video card uses C2060, using single GPU card to the sound wave forward modeling mould under the different mesh scales of two dimension
Intend the speed-up ratio comparison diagram accelerated, rhombus broken line represents the calculating time using CPU simulation Acoustic Wave Propagations, square folding
Line represents the calculating time using GPU simulation Acoustic Wave Propagations, and triangle broken line represents speed-up ratio.When using block more, speed-up ratio into
Linear relationship increase, Fig. 3 be when video card use C2060, using single GPU card to the sound wave under the different mesh scales of three-dimensional just
Drill the speed-up ratio comparison diagram that simulation is accelerated.Fig. 4-1 to Fig. 4-4 this to be adopted using the example to Marmousi2 models
The velocity profile obtained with acoustic full waveform inverting.Fig. 4-1 is accurate Marmousi2 rate patterns, and Fig. 4-2 is by Gauss
Initial velocity model after large scale is smooth, Fig. 4-3 is the inversion result that the super big gun collection inverting that dominant frequency is 5Hz obtains, from result
In it can be seen that model in there is stronger cross-talk noise, using Fig. 4-3 result as initial model, and with this to high frequency band
Super big gun collection carries out full waveform inversion, and Fig. 4-4 is the super big gun collection inverting gained rate pattern that dominant frequency is 15Hz, can from model
Go out, cross-talk noise is preferably suppressed.Fig. 5-1 to Fig. 5-8 is complete using elastic wave to Overthrust models using the example
The Lame constants section that waveform inversion Simultaneous Inversion obtains, wherein Fig. 5-1,5-2 are initial Lame constants, Fig. 5-3, Fig. 5-4
It is to use super big gun collection inverting acquired results of the dominant frequency for 5.0Hz, the result is anti-to 10.0Hz super big gun collection as initial model
Drill, Fig. 5-5, Fig. 5-6 are 10.0Hz super big gun collection inverting acquired results, using super big gun collection of the result as initial model to 15Hz
Inverting is carried out, Fig. 5-7, Fig. 5-8 are its corresponding inversion result.
Huge amount of calculation and amount of storage are always an important factor for restricting the development of 3D Time Migration of Elastic Wave Equation full waveform inversion.
For the problem of time-domain wave equation full waveform inversion is computationally intensive and amount of storage is big, the present invention is respectively adopted based on CUDA's
More GPU parallel computings and efficiency frontier storage strategy are solved, and combine more focus technologies of three random phase encodings
The acceleration of time-domain Time Migration of Elastic Wave Equation full waveform inversion is handled, provides and a set of efficiently may be used for the accurate implementation of full waveform inversion
Capable technical scheme.
Above-mentioned technical proposal is one embodiment of the present invention, for those skilled in the art, at this
On the basis of disclosure of the invention application process and principle, it is easy to make various types of improvement or deformation, be not limited solely to this
Invent the method described by above-mentioned embodiment, therefore previously described mode is simply preferable, and and without limitation
The meaning of property.
Claims (5)
- A kind of 1. efficient time-domain full waveform inversion method, it is characterised in that:Methods described includes:The first step, using source polarity is random, source position is random, random three randomizing scheme of source number to original observation earthquake record with Machine forms the super big gun collection of different frequency bands;Second step, using more GPU parallel computings acceleration time domain single order forms based on CUDA ACOUSTIC WAVE EQUATION system and The high-order staggered-mesh finite difference simulation of Time Migration of Elastic Wave Equation system, obtain the GPU simulation super big gun collection of the i-th freq frequency bands; CPU and GPU coordination techniques are used in forward simulation, are propagated with the different focus of more GPU nuclear mockups, the border of source wavefield Data and last moment all wave fields are stored in calculator memory;Calculate forward-propagating source wavefield when it is each when The wave field value and all wave field values of maximum moment for carving the Particle Vibration Velocity component that interior zone has a common boundary with PML regions are stored in In GPU video memorys;3rd step, wave field residual error and cost functional value are calculated, then judge whether to meet end condition, if it is, representing the frequency The full waveform inversion iteration of band terminates, and the initial velocity model using the model of inverting as next frequency band full waveform inversion, The 6th step is transferred to, if it is not, then being transferred to the 4th step;4th step, calculate wave detector anti-pass wave field using more GPU parallel computings, at the same using effective stored boundary strategy and More GPU parallel computings reconstruct source wavefield and calculate gradient of the cost functional relative to model parameter;5th step, using gradient class iterative algorithm renewal speed model, be then back to second step;6th step, judge whether to meet frequency end condition, if it is, the 7th step is transferred to, if it is not, then returning to the first step;7th step, output "current" model.
- 2. efficient time-domain full waveform inversion method according to claim 1, it is characterised in that:The first step is this What sample was realized:Input original single shot record and original Ricker wavelet parallel using MPI, using Wiener filter to original single shot record and Original Ricker wavelet filtering, obtains the earthquake single shot record and seismic wavelet of different frequency bands;All seismic wavelets are assigned using function, random function and sign function that random seed is produced in C language built-in function A number between [- 1,1] is given, that is, assigns each seismic wavelet different colors, according to the positive negativity of seismic wavelet color, is assigned The corresponding polarity of seismic wavelet is given, this process is that source polarity is random;The color for changing the seismic wavelet of source polarity is sorted using Heap algorithm or quick sort, color value gradually increases Greatly, and using the random function in C language according to total super source wavelet number and total single seismic wavelet number go out at random often The number of single seismic wavelet in individual super focus, this process are that source number is random;Number according to the single seismic wavelet of each super focus is superimposed to the single seismic wavelet for changing source polarity after sequence, The position for each seismic wavelet being now superimposed is also corresponding random, and this process is that source position is random, thus completes three randomizing schemes Form the super focus of different frequency bands;The super big gun collection that three randomizing schemes form different frequency bands is completed to earthquake single shot record in the same way.
- 3. efficient time-domain full waveform inversion method according to claim 2, it is characterised in that:The second step bag Include:By obtaining initial velocity model after true model large scale Gaussian smoothing;It is specific as follows using propagation of the high-order staggering mesh finite-difference simulation wave equation in underground medium:The whole domain of two dimension is considered as a kernel function when being calculated using GPU, the whole domain of two dimension is split Into more sub-regions, the size per sub-regions is 16 × 16 grid nodes, and CUDA thread is mapped to per sub-regions Block, each mesh point is independently updated using the individual process of thread block, and the parallel thread in each time step uses GPU is simultaneously All nodal values are updated, are calculated so as to complete the wave field of whole region;For three-dimensional data, three-dimensional data is arranged in two-dimensional slice according to the direction most tieed up slowly, then according to at 2-D data Identical mode is managed, three-dimensional nodes are mapped to corresponding process, complete the forward simulation of whole region.
- 4. efficient time-domain full waveform inversion method according to claim 3, it is characterised in that:In 3rd step End condition is as follows:<mrow> <mo>|</mo> <mfrac> <mrow> <msub> <mi>&delta;d</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mi>&delta;d</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <msub> <mi>&delta;d</mi> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> <mo>|</mo> <mo>&le;</mo> <mi>&epsiv;</mi> </mrow>Wherein, dkRepresent the cost functional value of the wave field residual error of kth time iteration, dk-1Represent the wave field residual error of -1 iteration of kth Cost functional value, δ dkRepresent that the record of the same frequency band that the record of kth time iterative modeling and the first step obtain in the frequency band is poor, δ dk-1Represent that the record of the same frequency band that the record of -1 iterative modeling of kth and the first step obtain in the frequency band is poor, ε be one very Small amount.
- 5. efficient time-domain full waveform inversion method according to claim 4, it is characterised in that:The 4th step bag Include:The anti-pass wave field gone out using adjoint equation calculating wave detector;The Particle Vibration Velocity point that each moment interior zone and PML regions are had a common boundary when calculating the source wavefield of forward-propagating The wave field value of amount and all wave field values of maximum moment are stored in GPU video memorys, forward-propagating the maximum moment in the 3rd step Data storage CPU internal memories are delivered to by GPU video memorys;During inverse time anti-pass detection residual error wave field, CPU is stored wave field Copy GPU video memorys to, the residual error of the super big gun collection calculated according to the 3rd step is based on Huygen's principle to source wavefield approximate reconstruction, weight Accelerated when structure source wavefield and calculating detection wave field using more GPU parallel computings.
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