CN109298445A - A kind of inverse model update method based on Gaussian Profile M-H sampling - Google Patents

A kind of inverse model update method based on Gaussian Profile M-H sampling Download PDF

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CN109298445A
CN109298445A CN201811080984.3A CN201811080984A CN109298445A CN 109298445 A CN109298445 A CN 109298445A CN 201811080984 A CN201811080984 A CN 201811080984A CN 109298445 A CN109298445 A CN 109298445A
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logarithm
impedance
indicate
formula
initial value
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彭真明
吴昊
李曙
彭凌冰
何艳敏
赵学功
张全
陈颖频
杨春平
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University of Electronic Science and Technology of China
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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. analysis, for interpretation, for correction
    • G01V1/282Application of seismic models, synthetic seismograms
    • 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. analysis, for interpretation, for correction
    • 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
    • G01V2210/6226Impedance
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V2210/00Details of seismic processing or analysis
    • G01V2210/60Analysis
    • G01V2210/66Subsurface modeling
    • G01V2210/665Subsurface modeling using geostatistical modeling

Abstract

The invention discloses a kind of inverse model update methods based on Gaussian Profile M-H sampling, are related to geophysical inversion technology field comprising step 1: carrying out initial model of the pretreatment acquisition to inverted parameters to earthquake information;Step 2: waiting for that the initial model of inverted parameters calculates impedance initial value logarithm L in the selection road t1;Step 3: calculating impedance initial value logarithm L1Variance, establish the state transition function of Gaussian distributed, update impedance initial value logarithm L repeatedly according to state transition function1;Step 4: the seismic channel whether t is greater than in earthquake information is judged, if so, terminating to update;If it is not, enabling t=t+1 skip to step 2 continues inverting;It solves the problems, such as that existing update inverse model uses based on equally distributed M-H sampling, lacks and lead to restrain that codomain is excessive, convergence rate is slow, falls into local optimum to actual data analysis, has achieved the effect that reduce convergence codomain range, quick optimizing.

Description

A kind of inverse model update method based on Gaussian Profile M-H sampling
Technical field
The present invention relates to Geophysics Inversions and oil and gas reservoir to predict field, especially a kind of to be adopted based on Gaussian Profile M-H The inverse model update method of sample.
Background technique
Seismic inversion is the important step of predicting oil/gas reservoir, its earthquake record data according to known to detector passes through The mathematical model of earthquake record data and physical quantity to be asked establishes optimization problem, and by inversion method solve optimal Change problem, to obtain the process of physical quantity optimal estimation to be asked.Based on the markovian seismic inversion in Monte Carlo- It is the important method of seismic inversion, it updates inverse model by stochastical sampling, and is completed entirely by Markov Chain The process of inverting.
M-H (Metropolis-Hastings) sampling, is the important method of stochastical sampling, and this method can guarantee sampling knot Fruit has convergence;This method is to be sampled by introducing state transition function to model, then introduces decision function and determines Whether sampling receives, to obtain the process of final sampled result by constantly sampling, this method is mentioned by Metropolis Out, it is improved by Hastings, two people mathematically demonstrate the convergent reasonability of sampled result, and Lavielle will be based on uniform point The M-H of cloth is sampled in Bayes's seismic inversion based on Gaussian Profile, it was demonstrated that M-H sampling in seismic inversion can Row, but M-H sampling is uniformly distributed using being uniformly distributed using random value between 0-1 in the prior art, is as a result in appoint What value distribution, causes codomain range excessive, and convergence rate is slow, while ram-jolt border data deficiency is analyzed over the ground, causes to fall into office Portion is optimal;Therefore need a kind of inverse model update method that can overcome problem above.
Summary of the invention
It is an object of the invention to: the present invention provides one kind to sample inverse model update method based on Gaussian Profile M-H, Solving existing update inverse model and using leads to convergency value to actual data analysis based on equally distributed M-H sampling, shortage Domain is excessive, convergence rate is slow, falls into the problem of local optimum.
The technical solution adopted by the invention is as follows:
A kind of inverse model update method based on Gaussian Profile M-H sampling, includes the following steps:
Step 1: initial model of the pretreatment acquisition to inverted parameters is carried out to earthquake information;
Step 2: waiting for that the initial model of inverted parameters calculates impedance initial value logarithm L in the selection road t1, by impedance initial value Logarithm L1As the initial model sampled based on Gaussian Profile M-H;
Step 3: calculating impedance initial value logarithm L1Variance, according to variance establish Gaussian distributed state shift letter Number, according to the Gaussian Profile of state transition function to impedance initial value logarithm L1It is updated repeatedly and obtains updated t Wait for inverted parameters in road;
Step 4: the seismic channel whether t is greater than in earthquake information is judged, if so, terminating to update;If it is not, t=t+1 is enabled to jump Continue inverting to step 2.
Preferably, the step 1 includes the following steps:
Step 1.1: obtaining earthquake information, the seismic data includes seismic data and log data;
Step 1.2: according to earthquake data extraction layer position, log data being modeled to obtain using Kriging regression and is joined to inverting Number initial model carries out well shake matching according to seismic data and log data and extracts wavelet.
Preferably, the step 2 includes the following steps:
Step 2.1: the selection road t waits for the initial model of inverted parameters, according to inverted parameters and wave impedance logarithm recursion Relationship seeks impedance initial value logarithm L1, it is as shown in formula 1 to inverted parameters and wave impedance logarithm recurrence relation:
Lk=f (xk) formula (1)
Wherein, xkIt indicates to inverted parameters, LkIndicate wave impedance logarithm;
Step 2.2: by impedance initial value logarithm L1As the initial model sampled based on Gaussian Profile M-H.
Preferably, the step 3 includes the following steps:
Step 3.1: calculating impedance initial value logarithm L1Mean μk, according to mean μkCalculate its variance δk, calculation formula is such as Shown in formula 2:
Wherein, n indicates vector L1Element number, L1iIndicate L1In i-th of element;
Step 3.2: according to variance δkThe state transition function of Gaussian distributed is established, is calculated as shown in formula 3:
f(L1,L2)∝N(0,δk) formula (3)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate updated wave impedance logarithm, N (0, δK) indicate that mean value is 0, Variance is δkGaussian Profile;
Step 3.3: wave impedance logarithm being updated according to the Gaussian Profile of state transition function and obtains updated wave impedance pair Number L2, it calculates as shown in formula 4:
L2=L1+ deltan formula (4)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate that updated wave impedance logarithm, n indicate have with wave impedance logarithm There is the random vector of the Gaussian distributed of identical element, delta indicates step-length;
Step 3.4: computational discrimination function a (L1,L2), it calculates as shown in formula 5:
a(L1,L2)=min (1, P (L2)/P(L1)) formula (5)
Wherein, P (L1) indicate L1Posterior probability density function, P (L2) indicate L2Posterior probability density function;
Step 3.5: randomly selecting u by being uniformly distributed between 0-1, and judge whether u is less than a (L1,L2), if it is not, then will Updated wave impedance logarithm L2As impedance initial value logarithm L1After skip to step 3.6;If so, without operation;
Step 3.6: judging whether the number of iterations is greater than the number of iterations setting value, repeated if it is not, then skipping to step 3.1 It updates;If so, waiting for inverted parameters according to the road updated wave impedance Logarithmic calculation updated t.
Preferably, posterior probability density function calculates as shown in formula 6 in the step 3.4:
Wherein, G indicates that the constant matrices obtained according to wavelet, L indicate the road the t wave impedance logarithm obtained according to layer position, s0Indicate the road t original earthquake data, C1For constant term.
In conclusion by adopting the above-described technical solution, the beneficial effects of the present invention are:
1. being instead based on normal distribution M-H sampling the present invention is based on M-H sampling is uniformly distributed, Gaussian Profile passes through statistics well The distribution of wave impedance logarithmic data after interpolation extends out obtains, and meets the distribution of real data, solves existing update inverting mould Convergence codomain is excessive, convergence rate is slow, sunken using being caused based on equally distributed M-H sampling, shortage to actual data analysis for type The problem of entering local optimum has achieved the effect that reduce convergence codomain range, quick optimizing;
2. the present invention, by calculating wave impedance logarithm variance, the state for establishing Gaussian distributed based on variance shifts letter Number is updated by the M-H sampling based on Gaussian Profile, and Gaussian Profile samples last result still Gaussian distributed, Codomain is constant, and avoiding and being uniformly distributed sampled result is that any codomain causes to restrain the excessive disadvantage of codomain, accelerates convergence.
Detailed description of the invention
Examples of the present invention will be described by way of reference to the accompanying drawings, in which:
Fig. 1 is method flow block diagram of the invention;
Fig. 2 is histogram distribution and the corresponding Gaussian Profile schematic diagram of single track well bypass road wave impedance of the invention;
Fig. 3 is the seismic profile of Noise of the invention;
Fig. 4 is multiple tracks wave impedance initial model schematic diagram of the invention;
Fig. 5 is that multiple tracks wave impedance of the invention updates result schematic diagram;
Fig. 6 is that single track well bypass road wave impedance of the invention updates result and contrast schematic diagram;
Fig. 7 is state transition function of the invention using the error comparison diagram being uniformly distributed with Gaussian Profile;
Fig. 8 is flow chart of the method for the present invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right The present invention is further elaborated.It should be appreciated that described herein, specific examples are only used to explain the present invention, not For limiting the present invention, i.e., described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is logical The component for the embodiment of the present invention being often described and illustrated herein in the accompanying drawings can be arranged and be designed with a variety of different configurations.
Therefore, the detailed description of the embodiment of the present invention provided in the accompanying drawings is not intended to limit below claimed The scope of the present invention, but be merely representative of selected embodiment of the invention.Based on the embodiment of the present invention, those skilled in the art Member's every other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
It should be noted that the relational terms of term " first " and " second " or the like be used merely to an entity or Operation is distinguished with another entity or operation, and without necessarily requiring or implying between these entities or operation, there are any This actual relationship or sequence.Moreover, the terms "include", "comprise" or its any other variant be intended to it is non-exclusive Property include so that include a series of elements process, method, article or equipment not only include those elements, but also Further include other elements that are not explicitly listed, or further include for this process, method, article or equipment it is intrinsic Element.In the absence of more restrictions, the element limited by sentence "including a ...", it is not excluded that including described There is also other identical elements in the process, method, article or equipment of element.
It elaborates below with reference to Fig. 1-8 couples of present invention.
Present invention solves the technical problem that: solve existing update inverse model use based on equally distributed M-H sampling, Lack leads to restrain that codomain is excessive, convergence rate is slow, falls into the problem of local optimum to actual data analysis
Technological means: a kind of inverse model update method based on Gaussian Profile M-H sampling includes the following steps:
Step 1: initial model of the pretreatment acquisition to inverted parameters is carried out to earthquake information;
Step 2: waiting for that the initial model of inverted parameters calculates impedance initial value logarithm L in the selection road t1, by impedance initial value Logarithm L1As the initial model sampled based on Gaussian Profile M-H;
Step 3: calculating impedance initial value logarithm L1Variance, according to variance establish Gaussian distributed state shift letter Number, according to the Gaussian Profile of state transition function to impedance initial value logarithm L1It is updated repeatedly and obtains updated t Wait for inverted parameters in road;
Step 4: the seismic channel whether t is greater than in earthquake information is judged, if so, terminating to update;If it is not, t=t+1 is enabled to jump Continue inverting to step 2.
Step 1 includes the following steps:
Step 1.1: obtaining earthquake information, the seismic data includes seismic data and log data;
Step 1.2: according to earthquake data extraction layer position, log data being modeled to obtain using Kriging regression and is joined to inverting Number initial model carries out well shake matching according to seismic data and log data and extracts wavelet.
Step 2 includes the following steps:
Step 2.1: the selection road t waits for the initial model of inverted parameters, according to inverted parameters and wave impedance logarithm recursion Relationship seeks impedance initial value logarithm L1, it is as shown in formula 1 to inverted parameters and wave impedance logarithm recurrence relation:
Lk=f (xk) formula (1)
Wherein, xkIt indicates to inverted parameters, LkIndicate wave impedance logarithm;
Step 2.2: by impedance initial value logarithm L1As the initial model sampled based on Gaussian Profile M-H.
Step 3 includes the following steps:
Step 3.1: calculating impedance initial value logarithm L1Mean μk, according to mean μkCalculate its variance δk, calculation formula is such as Shown in formula 2:
Wherein, n indicates vector L1Element number, L1iIndicate L1In i-th of element;
Step 3.2: according to variance δkThe state transition function of Gaussian distributed is established, is calculated as shown in formula 3:
f(L1,L2)∝N(0,δk) formula (3)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate updated wave impedance logarithm, N (0, δK) indicate that mean value is 0, Variance is δkGaussian Profile;
Step 3.3: wave impedance logarithm being updated according to the Gaussian Profile of state transition function and obtains updated wave impedance pair Number L2, it calculates as shown in formula 4:
L2=L1+ deltan formula (4)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate that updated wave impedance logarithm, n indicate have with wave impedance logarithm There is the random vector of the Gaussian distributed of identical element, delta indicates step-length;
Step 3.4: computational discrimination function a (L1,L2), it calculates as shown in formula 5:
a(L1,L2)=min (1, P (L2)/P(L1)) formula (5)
Wherein, P (L1) indicate L1Posterior probability density function, P (L2) indicate L2Posterior probability density function;
Step 3.5: randomly selecting u by being uniformly distributed between 0-1, and judge whether u is less than a (L1,L2), if it is not, then will Updated wave impedance logarithm L2As impedance initial value logarithm L1After skip to step 3.6;If so, without operation;
Step 3.6: judging whether the number of iterations is greater than the number of iterations setting value, repeated if it is not, then skipping to step 3.1 It updates;If so, waiting for inverted parameters according to the road updated wave impedance Logarithmic calculation updated t.
Posterior probability density function calculates as shown in formula 6 in step 3.4:
Wherein, G indicates that the constant matrices obtained according to wavelet, L indicate the road the t wave impedance logarithm obtained according to layer position, s0Indicate the road t original earthquake data, C1For constant term;Technical effect: the present invention is based on be uniformly distributed M-H sampling to be instead based on Normal distribution M-H sampling, the distribution of wave impedance logarithmic data after Gaussian Profile is extended out by statistics well interpolation obtain, and meet reality The distribution of border data solves existing update inverse model and uses based on equally distributed M-H sampling, lacks to real data point Analysis leads to restrain that codomain is excessive, convergence rate is slow, falls into the problem of local optimum, has reached diminution convergence codomain range, quickly The effect of optimizing;By calculating wave impedance logarithm variance, the state transition function of Gaussian distributed is established based on variance, is passed through M-H sampling based on Gaussian Profile is updated, and Gaussian Profile samples last result still Gaussian distributed, and codomain is not Become, avoiding and being uniformly distributed sampled result is that any codomain causes to restrain the excessive disadvantage of codomain, accelerates convergence.
Embodiment 1
As shown in figures 1-8, inverting is as follows when inverted parameters are wave impedance:
Step 1.1: input earthquake information uses Kriging regression according to log data according to earthquake data extraction layer position Modeling obtains wave impedance initial model, extracts wavelet using well shake matching by earthquake information;
Step 2.1: the wave impedance AI of the selection road t modelk, asked just by the recurrence relation of wave impedance and wave impedance logarithm Beginning wave impedance logarithm, wave impedance and the recurrence relation of wave impedance logarithm are as shown in formula 1:
Lk=ln (AIk) formula (1)
Wherein, AIkIndicate wave impedance, LkIndicate wave impedance logarithm;
Step 2.2: by impedance initial value logarithm L1As update initial model;
Step 3.1: calculating wave impedance logarithm LkMean μk, according to mean μkCalculate variance δk, calculation formula such as formula 2 It is shown:
Wherein, n indicates vector L1Element number, L1iIndicate L1In i-th of element;
Step 3.2: the state transition function of Gaussian distributed is established, is calculated as shown in formula 3:
f(L1,L2)∝N(0,δk) formula (3)
Wherein, L2Indicate updated wave impedance logarithm, N (0, δK) indicate that mean value is 0, variance δkGaussian Profile;
Step 3.3: wave impedance logarithm being updated according to the Gaussian Profile of state transition function and obtains updated wave impedance pair Number L2, it calculates as shown in formula 4:
L2=L1+ deltan formula (4)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate that updated wave impedance logarithm, n indicate have with wave impedance logarithm There is the random vector of the Gaussian distributed of identical element, delta indicates step-length;
Step 3.4: computational discrimination function a (L1,L2), it calculates as shown in formula 5:
a(L1,L2)=min (1, P (L2)/P(L1)) formula (5)
Wherein, P (L1) indicate L1Posterior probability density function, P (L2) indicate L2Posterior probability density function;
Posterior probability density function calculates as shown in formula 6:
Wherein, G indicates that the constant matrices obtained according to wavelet, L indicate the road the t wave impedance logarithm obtained according to layer position, s0Indicate the road t original earthquake data, C1For constant term;
Step 3.5: randomly selecting u by being uniformly distributed between 0-1, and judge whether u is less than a (L1,L2), if it is not, then will Updated wave impedance logarithm L2As impedance initial value logarithm L1After skip to step 3.6;If so, without operation;
Step 3.6: judging whether the number of iterations is greater than the number of iterations setting value, repeated if it is not, then skipping to step 3.1 It updates;If so, waiting for inverted parameters according to the road updated wave impedance Logarithmic calculation updated t.
Step 4 includes the following steps:
Step 4.1: the seismic channel data whether t is greater than in input data is judged, if so, terminating to update obtained update Afterwards to inverted parameters section;If it is not, enabling t=t+1 skip to step 2 continues inverting.
Effect analysis: as shown in Fig. 2, the wave impedance logarithm that Gaussian Profile can very well after simulation interpolation, using Gauss Distribution simulation M-H sampling has reasonability;As in Figure 3-5, the result of updated wave impedance section is cutd open compared to wave impedance Face initial model can preferably obey the trend of earthquake record, react the correctness of the application, initial as shown in Figure 6 Indicate wave impedance initial model, inversion indicates updated wave impedance as a result, well indicates true wave impedance, update As a result than initial model closer to truthful data, the correctness of the application has further been reacted;U as shown in Figure 7 is indicated using equal The relationship of convergence number and error under even distribution M-H sampling, N indicate convergence number and error under Gaussian Profile M-H sampling Relationship, as shown in the figure: the present processes reduce convergence codomain, can faster optimizing, the present invention passes through analysis source first In the statistical property for the model data that log data modeling obtains, letter is shifted in conjunction with the state in Gaussian Profile building M-H sampling Number sample using the Gaussian Profile that state transition function among the above is formed and passes through discriminant function more to initial model Newly, by iterating, optimal inversion result is exported, the present invention solves existing seismic inversion use and is uniformly distributed as shape State transfer function leads to restrain that codomain is excessive, convergence rate is slow, falls into the problem of local optimum, has reached diminution convergence codomain model It encloses, the effect of quick optimizing.

Claims (5)

1. a kind of inverse model update method based on Gaussian Profile M-H sampling, characterized by the following steps:
Step 1: initial model of the pretreatment acquisition to inverted parameters is carried out to earthquake information;
Step 2: waiting for that the initial model of inverted parameters calculates impedance initial value logarithm L in the selection road t1, by impedance initial value logarithm L1 As the initial model sampled based on Gaussian Profile M-H;
Step 3: calculating impedance initial value logarithm L1Variance, the state transition function of Gaussian distributed, root are established according to variance According to the Gaussian Profile of state transition function to impedance initial value logarithm L1It is updated repeatedly and obtains the road updated t and waited for instead Drill parameter;
Step 4: the seismic channel whether t is greater than in earthquake information is judged, if so, terminating to update;If it is not, t=t+1 is enabled to skip to step Rapid 2 continue inverting.
2. a kind of inverse model update method based on Gaussian Profile M-H sampling according to claim 1, feature exist In: the step 1 includes the following steps:
Step 1.1: obtaining earthquake information, the seismic data includes seismic data and log data;
Step 1.2: according to earthquake data extraction layer position, log data being modeled to obtain at the beginning of inverted parameters using Kriging regression Beginning model carries out well shake matching according to seismic data and log data and extracts wavelet.
3. a kind of inverse model update method based on Gaussian Profile M-H sampling according to claim 1 or 2, special Sign is: the step 2 includes the following steps:
Step 2.1: the selection road t waits for the initial model of inverted parameters, according to inverted parameters and wave impedance logarithm recurrence relation Seek impedance initial value logarithm L1, it is as shown in formula 1 to inverted parameters and wave impedance logarithm recurrence relation:
Lk=f (xk) formula (1)
Wherein, xkIt indicates to inverted parameters, LkIndicate wave impedance logarithm;
Step 2.2: by impedance initial value logarithm L1As the initial model sampled based on Gaussian Profile M-H.
4. a kind of inverse model update method based on Gaussian Profile M-H sampling according to claim 3, feature exist In: the step 3 includes the following steps:
Step 3.1: calculating impedance initial value logarithm L1Mean μk, according to mean μkCalculate its variance δk, calculation formula such as formula 2 It is shown:
Wherein, n indicates vector L1Element number, L1iIndicate L1In i-th of element;
Step 3.2: according to variance δkThe state transition function of Gaussian distributed is established, is calculated as shown in formula 3:
f(L1,L2)∝N(0,δk) formula (3)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate updated wave impedance logarithm, N (0, δK) indicate that mean value is 0, variance For δkGaussian Profile;
Step 3.3: wave impedance logarithm being updated according to the Gaussian Profile of state transition function and obtains updated wave impedance logarithm L2, It calculates as shown in formula 4:
L2=L1+ deltan formula (4)
Wherein, L1Indicate impedance initial value logarithm, L2Indicate that updated wave impedance logarithm, n indicate there is phase with wave impedance logarithm With the random vector of the Gaussian distributed of element, delta indicates step-length;
Step 3.4: computational discrimination function a (L1,L2), it calculates as shown in formula 5:
a(L1,L2)=min (1, P (L2)/P(L1)) formula (5)
Wherein, P (L1) indicate L1Posterior probability density function, P (L2) indicate L2Posterior probability density function;
Step 3.5: randomly selecting u by being uniformly distributed between 0-1, and judge whether u is less than a (L1,L2), if it is not, will then update Wave impedance logarithm L afterwards2As impedance initial value logarithm L1After skip to step 3.6;If so, without operation;
Step 3.6: judging whether the number of iterations is greater than the number of iterations setting value, repeat more if it is not, then skipping to step 3.1 Newly;If so, waiting for inverted parameters according to the road updated wave impedance Logarithmic calculation updated t.
5. a kind of inverse model update method based on Gaussian Profile M-H sampling according to claim 4, feature exist In: posterior probability density function calculates as shown in formula 6 in the step 3.4:
Wherein, G indicates that the constant matrices obtained according to wavelet, L indicate the road the t wave impedance logarithm obtained according to layer position, s0It indicates The road t original earthquake data, C1For constant term.
CN201811080984.3A 2018-09-17 2018-09-17 A kind of inverse model update method based on Gaussian Profile M-H sampling Pending CN109298445A (en)

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张繁昌 等: ""地震数据约束下的贝叶斯随机反演"", 《石油地球物理勘探》 *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113960655A (en) * 2020-07-20 2022-01-21 中国石油天然气股份有限公司 Seismic data sample updating method and system
CN113960655B (en) * 2020-07-20 2024-04-30 中国石油天然气股份有限公司 Method and system for updating seismic data samples
CN113640871A (en) * 2021-08-10 2021-11-12 成都理工大学 Seismic wave impedance inversion method based on heavily-weighted L1 norm sparse constraint
CN113640871B (en) * 2021-08-10 2023-09-01 成都理工大学 Seismic wave impedance inversion method based on re-weighted L1 norm sparse constraint

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