CN109214025A - Reservoir parameter predication method and system based on Bayes's classification - Google Patents

Reservoir parameter predication method and system based on Bayes's classification Download PDF

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CN109214025A
CN109214025A CN201710548360.9A CN201710548360A CN109214025A CN 109214025 A CN109214025 A CN 109214025A CN 201710548360 A CN201710548360 A CN 201710548360A CN 109214025 A CN109214025 A CN 109214025A
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reservoir
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周单
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China Petroleum and Chemical Corp
Sinopec Geophysical Research Institute
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Sinopec Geophysical Research Institute
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Abstract

The invention discloses a kind of reservoir parameter predication method and system based on Bayes's classification establish the first inversion equation of reservoir physical parameter this method comprises: being based on known reservoir elastic parameter;Based on Bayesian formula, the first inversion equation is converted to the second inversion equation of the likelihood function about reservoir elastic parameter;Based on Bayes-sequence Gauss method, the likelihood function of reservoir elastic parameter is solved;Likelihood function value based on obtained reservoir elastic parameter solves the second inversion equation and obtains reservoir physical parameter value.The present invention does not need to carry out complicated model initialization, fully consider the advantage of the stochastic behaviour of geological & geophysical characteristics, make inversion result with more practical geological Significance, while also can solve variogram not high problem of inversion result reliability in the case where well data is less, even Nei Jing is unevenly distributed in work area in geostatistics Method of Stochastic.

Description

Reservoir parameter predication method and system based on Bayes's classification
Technical field
The invention belongs to petrochemical industry field of geophysical exploration, more particularly, to one kind based on Bayes point The reservoir parameter predication method and system of class.
Background technique
Currently, most common two kinds in the domestic reservoir physical parameter inversion method based on conventional longitudinal wave reflection seismic data Method is reservoir physical parameter non-linear inversion neural network based and the Method of Stochastic based on geostatistics respectively, Both methods belongs to the scope of non-linear inversion.Reservoir physical parameter probability inversion method based on bayesian theory is not required to Carry out complicated model initialization, but established based on reservoir model reservoir physical parameter with reservoir elastic parameter it Between probability statistics relationship, and then combine with pre-stack seismic inversion, moreover, it also has both the random mould of geostatistics Quasi- method can fully consider the advantage of the stochastic behaviour of geological & geophysical characteristics, and inversion result is made to anticipate with more practical geology Justice, at the same also can solve in geostatistics Method of Stochastic variogram well data it is less, even in work area Interior well becomes problem that is extremely unstable, and keeping inversion result reliability not high in the case where being unevenly distributed.But currently based on Reservoir physical parameter probability inversion method likelihood function in calculating process of bayesian theory is difficult to accurately seek, and therefore, has Necessity develops a kind of reservoir parameter predication method based on Bayes's classification, can seek stable and accurate likelihood function.
The information for being disclosed in background of invention part is merely intended to deepen the reason to general background technique of the invention Solution, and it is known to those skilled in the art existing to be not construed as recognizing or imply that the information is constituted in any form Technology.
Summary of the invention
The invention proposes a kind of reservoir parameter predication method and system based on Bayes's classification, can be by known Reservoir elastic parameter establish reservoir physical parameter inversion equation, and reservoir properties are realized based on Bayes-sequential Gaussian simulation Parametric joint inverting, this method are based on probability distribution theory, can preferably characterize the shadow of determining, uncertain error component It rings, obtains reliable and stable reservoir physical parameter inversion result.
According to an aspect of the invention, it is proposed that a kind of reservoir parameter predication method based on Bayes's classification.The side Method may include: 1) to establish the first inversion equation of reservoir physical parameter based on known reservoir elastic parameter;2) it is based on Bayes First inversion equation is converted to the second inversion equation of the likelihood function about the reservoir elastic parameter by formula;3) Based on Bayes-sequence Gauss method, the likelihood function of the reservoir elastic parameter is solved;4) it is based on the obtained reservoir The likelihood function value of elastic parameter solves the second inversion equation and obtains the reservoir physical parameter value, wherein the reservoir parameter Including the reservoir elastic parameter and the reservoir physical parameter.
Preferably, the reservoir physical parameter includes porosity φ, water saturation sw and shale content C;The reservoir Elastic parameter includes velocity of longitudinal wave Vp, shear wave velocity VsAnd density p.
Preferably, reservoir physical parameter described in inverting is any in porosity φ, water saturation sw and shale content C A kind of or any combination.
Preferably, first inversion equation are as follows:
Wherein, [φ, sw, C] is reservoir physical parameter, and φ is porosity, and sw is water saturation, and C is shale content;For reservoir elastic parameter, VpFor velocity of longitudinal wave, VsFor shear wave velocity, ρ is density;J is the classification of reservoir physical parameter Number.
Preferably, second inversion equation are as follows:
Wherein, [φ, sw, C] is reservoir physical parameter, and φ is porosity, and sw is water saturation, and C is shale content;For reservoir elastic parameter, VpFor velocity of longitudinal wave, VsFor shear wave velocity, ρ is density;J is the classification of reservoir physical parameter Number;P([[φ,sw,C]j) it is reservoir physical parameter prior distribution;P(Vp|[φ,sw,C]j) be velocity of longitudinal wave likelihood function, P (Vs|[φ,sw,C]j) be shear wave velocity likelihood function, P (ρ | [φ, sw, C]j) be density likelihood function.
It is preferably based on Bayes-sequence Gauss method, the likelihood function for solving the reservoir elastic parameter includes:
3.1) three dimensional reservoir framework is created, by original well data and includes the intracorporal reservoir of column to simulation lattice unit Mean parameter is transformed into the data of normal distribution;
3.2) random walk of the access to simulation lattice unit is specified;
3.3) from local distribution function p (xo|xs,z1,z2) in random sampling obtain xoAnalog result, wherein xoIt indicates Value to be simulated, xsIndicate the value simulated in neighbouring unit, z1And z2It is comprising xoThe column at place it is intracorporal the first Reservoir parameter and second of reservoir parameter;
3.4) by xoAs the value simulated, continue to simulate other grid lists according to the random walk that step 3.2) is specified Member, until having accessed all grid cells;
3.5) normal state inverse transformation is carried out to step 3.4) analog result, obtains the likelihood function of the reservoir elastic parameter Value.
Preferably, pass through following steps in step 3.3) from local distribution function p (xo|xs,z1,z2) in random sampling Obtain xoAnalog result include:
A) based on Bayes' theorem to the local distribution function p (xo|xs,z1,z2) converted, it obtains:
p(xo|xs,z1,z2)∝p(xo|xs)f(z1|xs,xo)g(z2|xs,xo,z1) (3)
Wherein, xoIndicate value to be simulated, x in current unitsIndicate the value simulated in neighbouring unit, p (xo| xs) be distributed for the condition of sequential Gaussian simulation;f(z1|xs,xo) be distributed for the condition of the first reservoir parameter;g(z2|xs,xo,z1) For the condition distribution of second of reservoir parameter;
B) similar based on the normal state condition distribution during being simulated to the condition distribution in formula (3) with Gauss, by formula (3) it converts are as follows:
p(x0|xs,z1,z2)∝N(mSKSK 2)×N(mff 2)×N(mgg 2) (4)
Wherein, N (mSKSK 2) indicate x0Gaussian Profile, mSKSK 2Indicate x0Mean value and variance, N (mff 2) indicate The Gaussian Profile of the first reservoir parameter, mf, σf 2Indicate z1Mean value and variance, N (mgg 2) indicate second of reservoir parameter Gaussian Profile, mgg 2Indicate z2Mean value and variance.
C) by seeking mSKSK 2, mff 2, mgg 2To obtain local distribution function value.
According to another aspect of the invention, it is proposed that a kind of reservoir parameter forecast system based on Bayes's classification, described System include memory, processor and storage on a memory and the computer program that can run on a processor, the place 1) reason device is performed the steps of when executing described program based on known reservoir elastic parameter, establish reservoir physical parameter first Inversion equation;2) it is based on Bayesian formula, first inversion equation is converted into the likelihood about the reservoir elastic parameter Second inversion equation of function;3) it is based on Bayes-sequence Gauss method, solves the likelihood function of the reservoir elastic parameter; 4) the likelihood function value based on the obtained reservoir elastic parameter solves the second inversion equation and obtains the reservoir properties ginseng Numerical value, wherein the reservoir parameter includes the reservoir elastic parameter and the reservoir physical parameter.
Preferably, the reservoir physical parameter includes porosity φ, water saturation sw and shale content C;The reservoir Elastic parameter includes velocity of longitudinal wave Vp, shear wave velocity VsAnd density p.
Preferably, reservoir physical parameter described in inverting is any in porosity φ, water saturation sw and shale content C A kind of or any combination.
The beneficial effects of the present invention are: the reservoir physical parameter probability inversion method based on bayesian theory do not need into The complicated model initialization of row, have both geostatistics Method of Stochastic can fully consider geological & geophysical characteristics with The advantage of machine characteristic makes inversion result with more practical geological Significance, while also can solve the random mould of geostatistics Variogram becomes extremely unstable in the case where well data is less, even Nei Jing is unevenly distributed in work area in quasi- method, and The problem for keeping inversion result reliability not high.
Other features and advantages of the present invention will then part of the detailed description can be specified.
Detailed description of the invention
Exemplary embodiment of the invention is described in more detail in conjunction with the accompanying drawings, it is of the invention above-mentioned and its Its purpose, feature and advantage will be apparent, wherein in exemplary embodiment of the invention, identical reference label Typically represent same parts.
Fig. 1 shows the flow chart of the step of reservoir parameter predication method according to the present invention based on Bayes's classification.
Fig. 2 shows the schematic diagrames of three dimensional reservoir framework according to an embodiment of the invention.
Specific embodiment
The preferred embodiment of the present invention is described in more detail below.Although the following describe preferred implementations of the invention Mode, however, it is to be appreciated that may be realized in various forms the present invention without that should be limited by the embodiments set forth herein.Phase Instead, these embodiments are provided so that the present invention is more thorough and complete, and can be by the scope of the present invention completely It is communicated to those skilled in the art.
Embodiment 1
In this embodiment, the reservoir parameter predication method according to the present invention based on Bayes's classification may include: step Rapid 1, it is based on known reservoir elastic parameter, establishes the first inversion equation of reservoir physical parameter;Step 2, it is based on Bayesian formula, First inversion equation is converted to the second inversion equation of the likelihood function about reservoir elastic parameter;Step 3, it is based on pattra leaves This-sequence Gauss method, solve the likelihood function of reservoir elastic parameter;And step 4, it is based on obtained reservoir elastic parameter Likelihood function value solve the second inversion equation obtain reservoir physical parameter value, wherein reservoir parameter includes reservoir elastic parameter And reservoir physical parameter.
The embodiment establishes reservoir physical parameter inversion equation by known reservoir elastic parameter, and is based on Bayes- Sequential Gaussian simulation realizes reservoir physical parameter joint inversion, and this method is based on probability distribution theory, can preferably characterize determination , the influence of uncertain error component, obtain reliable and stable reservoir physical parameter inversion result.
Fig. 1 shows the flow chart of the step of reservoir parameter predication method according to the present invention based on Bayes's classification. The specific steps of the reservoir parameter predication method according to the present invention based on Bayes's classification are described in detail below with reference to Fig. 1.
Step 1, it is based on known reservoir elastic parameter, establishes the first inversion equation of reservoir physical parameter.
In one example, reservoir physical parameter includes porosity φ, water saturation sw and shale content C;Reservoir bullet Property parameter includes velocity of longitudinal wave Vp, shear wave velocity VsAnd density p.In one example, inverting reservoir physical parameter is porosity Any one in φ, water saturation sw and shale content C or any combination.
In one example, the first inversion equation are as follows:
Wherein, [φ, sw, C] is reservoir physical parameter, and φ is porosity, and sw is water saturation, and C is shale content;For reservoir elastic parameter, VpFor velocity of longitudinal wave, VsFor shear wave velocity, ρ is density;J is the classification of reservoir physical parameter Number.
Specifically, the reservoir parameter predication method based on Bayes's classification is established under Bayes's inverting framework, such as formula (1) shown in, the first inversion equation is, under the conditions of known reservoir elastic parameter, the maximum a posteriori probability point of reservoir physical parameter Cloth.
Step 2, it is based on Bayesian formula, the first inversion equation is converted into the likelihood function about reservoir elastic parameter Second inversion equation.
In one example, the second inversion equation are as follows:
Wherein, [φ, sw, C] is reservoir physical parameter, and φ is porosity, and sw is water saturation, and C is shale content;For reservoir elastic parameter, VpFor velocity of longitudinal wave, VsFor shear wave velocity, ρ is density;J is the classification of reservoir physical parameter Number;P([[φ,sw,C]j) it is reservoir physical parameter prior distribution;P(Vp|[φ,sw,C]j) be velocity of longitudinal wave likelihood function, P (Vs|[φ,sw,C]j) be shear wave velocity likelihood function, P (ρ | [φ, sw, C]j) be density likelihood function.
Specifically, according to Bayesian formulaFormula (1) can be write as:
P([φ,sw,C]j) it is constant term, result is not had an impact, directly can give up to fall:
Assuming that it is mutually indepedent between reservoir elastic parameter, then available:
Bring formula (7) into (6) formula, available the second inversion equation as shown in formula (2):
[φ, sw, C]=
argMax{P([φ,sw,C]j)*P(Vp|[φ,sw,C]j)*P(Vs|[φ,sw,C]j)*P(ρ|[φ,sw,C]j)} (2)
P ([φ, sw, C] in formula (2)j) it is reservoir physical parameter prior distribution, statistical can be passed through by well-log information Analysis obtains, likelihood function P (Vp|[φ,sw,C]j)、P(Vs|[φ,sw,C]j) and P (ρ | [φ, sw, C]j) pass through below step 3 It acquires.
Step 3, it is based on Bayes-sequence Gauss method, solves the likelihood function of reservoir elastic parameter.
In one example, it is based on Bayes-sequence Gauss method, the likelihood function for solving reservoir elastic parameter includes:
3.1) three dimensional reservoir framework is created, by original well data and includes the intracorporal reservoir of column to simulation lattice unit Mean parameter is transformed into the data of normal distribution;
3.2) random walk of the access to simulation lattice unit is specified;
3.3) from local distribution function p (xo|xs,z1,z2) in random sampling obtain xoAnalog result, wherein xoIt indicates Value to be simulated, xsIndicate the value simulated in neighbouring unit, z1And z2It is comprising xoThe column at place it is intracorporal the first Reservoir parameter and second of reservoir parameter, wherein the first reservoir parameter (second of reservoir parameter) be include porosity φ, contain Water saturation sw, shale content C, velocity of longitudinal wave Vp, shear wave velocity VsWith the one of which in density p;
3.4) by xoAs the value simulated, continue to simulate other grid lists according to the random walk that step 3.2) is specified Member, until having accessed all grid cells;
3.5) normal state inverse transformation is carried out to step 3.4) analog result, obtains the likelihood function value of reservoir elastic parameter.
Specifically, the likelihood function for solving reservoir elastic parameter based on Bayes-sequence Gauss method initially sets up three-dimensional Reservoir model uses xiIt indicates the reservoir parameter data at the grid cell i of three dimensional reservoir framework, uses z1,iAnd z2,iIt respectively indicates In the mean value of the intracorporal two kinds of seismic properties of the vertical column comprising unit i, i.e.,
Wherein, nzIt is two attribute z in vertical direction in model1,iAnd z2,iBetween grid number;amAnd bmInclude unit i Cylinder m layers of weighting coefficient, these weighting coefficients can be constant and are also possible to spatial variations;xiIt is on schedule Support, and z1,iAnd z2,iIt indicates entire vertical cylinder, is block support.Our purpose is to generate the 3D realization of an x, this reality Now other than the histogram of given data to be met and space covariance condition, also to meet the limitation of formula (8) and formula (9) Condition.
As shown in Fig. 2, allowing xoValue to be simulated in current unit is indicated, such as the grid x in Fig. 20, analog result is logical It crosses from local distribution function p (xo|xs,z1,z2) in random sampling obtain;xsIndicate the value simulated in neighbouring unit, Including grid x1、x2、x3、x4、x5And x6;xcExpression is including xoThe intracorporal value simulated of column, including grid x2And x3;z1 And z2It is comprising xoCylinder at attribute data.
In one example, pass through following steps in step 3.3) from local distribution function p (xo|xs,z1,z2) in Machine samples to obtain xoAnalog result include:
A) based on Bayes' theorem to local distribution function p (xo|xs,z1,z2) converted, it obtains:
p(xo|xs,z1,z2)∝p(xo|xs)f(z1|xs,xo)g(z2|xs,xo,z1) (3)
Wherein, xoIndicate value to be simulated, x in current unitsIndicate the value simulated in neighbouring unit, p (xo| xs) be distributed for the condition of sequential Gaussian simulation;f(z1|xs,xo) be distributed for the condition of the first reservoir parameter;g(z2|xs,xo,z1) For the condition distribution of second of reservoir parameter;
B) similar based on the normal state condition distribution during being simulated to the condition distribution in formula (3) with Gauss, by formula (3) it converts are as follows:
p(x0|xs,z1,z2)∝N(mSKSK 2)×N(mff 2)×N(mgg 2) (4)
Wherein, N (mSKSK 2) indicate x0Gaussian Profile, mSKSK 2Indicate x0Mean value and variance, N (mff 2) indicate The Gaussian Profile of the first reservoir parameter, mf, σf 2Indicate z1Mean value and variance, N (mgg 2) indicate second of reservoir parameter Gaussian Profile, mgg 2Indicate z2Mean value and variance.
C) by seeking mSKSK 2, mff 2, mgg 2To obtain local distribution function value.
Specifically, it is assumed that f (z1|xs,xo)=f (z1|xc,xo) and g (z2|xs,xo,z1)=g (z2|xc,xo,z1), that is, It says, z1And z2Condition distribution be dependent only on the value simulated in cylinder, it is unrelated with the value simulated in neighbouring unit, It can be obtained in conjunction with formula (3):
p(xo|xs,z1,z2)∝p(xo|xs)f(z1|xc,xo)g(z2|xc,xo,z1) (10)
The first item on the right, is in the value x simulated in formula (10)sUnder conditions of xoCondition distribution, this in Gauss By the obtained mean value (m) of common Ke Lijin and variance (σ in simulation process2) normal state condition distribution it is similar, it may be assumed that
Wherein, SK represents common Ke Lijin.If allowing xc+oIndicate the value simulated in current cylinder and just in mould The set of quasi- value, then the Section 2 f (z on the right of formula (10)1|xc,xo)≡f(z1|xc+o) it is known as z1Likelihood function, It is by Gaussian Profile.If we use ∑j∈c+oIndicate the unit simulated in cylinder and the grid cell being modeled Upper summation is usedExpression is summed on the grid cell that remaining is not accessed, then f (z1|xc+o) mean value and variance are as follows:
Wherein, ajIt is the weighting coefficient of the first attribute data in cylinder;λjIt is the weighting system of golden system in following gram Number,
CkrIndicate the covariance between k and r point.
Section 3 g (z on the right of formula (10)2|xc,xo,z1)≡g(z2|xc+o,z1) it is known as z2Likelihood function, it meet Normal distribution, mean value and variance are as follows:
Wherein bjIt is the weight coefficient of second of attribute data in cylinder, μjAnd μz1It is the weighting of golden system in following gram Coefficient:
Therefore, available:
p(x0|xs,z1,z2)∝N(mSKSK 2)×N(mff 2)×N(mgg 2) (4)
Here N (m, σ2) indicate mean value be m, variance σ2Gaussian Profile.The part on the right of formula (4) is rearranged, Cancellation contains xoItem, obtain final likelihood function:
p(x0|xs,z1,z2)∝N(moo 2) (18)
Wherein,
σo 2SK 2σf 2σg 2/d (20)
D in formula (19), (20) are as follows:
D=σf 2σg 2+(aoo)2σSK 2σg 2+(boo)2σSK 2σf 2 (21)
From N (m, σ2) in random sampling obtain xoValue, by xoAs the value simulated, according to access specified in advance To the random walk of simulation lattice unit, continue to simulate other grid cells, until having accessed all grid cells.
In conjunction with the P (V in formula (5)p|[φ,sw,C]j), only consider VpIn the case where φ, formula (18) can be rewritten Are as follows:
p(vp0|vps,z1,z2)∝N(moo 2) (22)
z1Indicate VpMean value, z2Indicate the mean value of φ, it follows that the likelihood function of velocity of longitudinal wave.In formula (22) φ could alternatively be sw and C, it will be able to acquire the likelihood function of shear wave velocity and the likelihood function of density respectively.
Step 4, the likelihood function value based on obtained reservoir elastic parameter solves the second inversion equation and obtains reservoir object Property parameter value, wherein reservoir parameter includes reservoir elastic parameter and reservoir physical parameter.
It specifically, will be after normal state changes, so being carried out first to it by each likelihood function that formula (22) obtain Normal state anti-change, then substitute into formula (2) in, can inverting obtain reservoir physical parameter.
The embodiment does not need to carry out complicated model based on the reservoir physical parameter probability inversion method of bayesian theory Initialization, have both geostatistics Method of Stochastic can fully consider geological & geophysical characteristics stochastic behaviour it is excellent Gesture makes inversion result with more practical geological Significance, while also can solve and becoming in geostatistics Method of Stochastic Difference function becomes extremely unstable in the case where well data is less, even Nei Jing is unevenly distributed in work area, and makes inversion result The not high problem of reliability.
It will be understood by those skilled in the art that above to the purpose of the description of the embodiment of the present invention only for illustratively saying The beneficial effect of bright the embodiment of the present invention is not intended to limit embodiments of the invention to given any example.
Embodiment 2
According to an embodiment of the invention, providing a kind of reservoir parameter forecast system based on Bayes's classification, system packet The computer program that includes memory, processor and storage on a memory and can run on a processor, processor execute journey It is performed the steps of when sequence based on known reservoir elastic parameter, establishes the first inversion equation of reservoir physical parameter;Based on pattra leaves First inversion equation is converted to the second inversion equation of the likelihood function about reservoir elastic parameter by this formula;Based on pattra leaves This-sequence Gauss method, solve the likelihood function of reservoir elastic parameter;And the likelihood based on obtained reservoir elastic parameter Functional value solves the second inversion equation and obtains reservoir physical parameter value, wherein reservoir parameter includes reservoir elastic parameter and reservoir Physical parameter.
The embodiment establishes reservoir physical parameter inversion equation by known reservoir elastic parameter, and is based on Bayes- Sequential Gaussian simulation realizes reservoir physical parameter joint inversion, and this method is based on probability distribution theory, can preferably characterize determination , the influence of uncertain error component, obtain reliable and stable reservoir physical parameter inversion result.
In one example, reservoir physical parameter includes porosity φ, water saturation sw and shale content C;Reservoir bullet Property parameter includes velocity of longitudinal wave Vp, shear wave velocity VsAnd density p.
In one example, inverting reservoir physical parameter is appointing in porosity φ, water saturation sw and shale content C It anticipates a kind of or any combination.
The embodiment does not need to carry out complicated model based on the reservoir physical parameter probability inversion method of bayesian theory Initialization, have both geostatistics Method of Stochastic can fully consider geological & geophysical characteristics stochastic behaviour it is excellent Gesture makes inversion result with more practical geological Significance, while also can solve and becoming in geostatistics Method of Stochastic Difference function becomes extremely unstable in the case where well data is less, even Nei Jing is unevenly distributed in work area, and makes inversion result The not high problem of reliability.
It will be understood by those skilled in the art that above to the purpose of the description of the embodiment of the present invention only for illustratively saying The beneficial effect of bright the embodiment of the present invention is not intended to limit embodiments of the invention to given any example.
Various embodiments of the present invention are described above, above description is exemplary, and non-exclusive, and It is not limited to disclosed each embodiment.Without departing from the scope and spirit of illustrated each embodiment, for this skill Many modifications and changes are obvious for the those of ordinary skill in art field.

Claims (10)

1. a kind of reservoir parameter predication method based on Bayes's classification, which is characterized in that this method comprises:
1) it is based on known reservoir elastic parameter, establishes the first inversion equation of reservoir physical parameter;
2) it is based on Bayesian formula, first inversion equation is converted into the likelihood function about the reservoir elastic parameter Second inversion equation;
3) it is based on Bayes-sequence Gauss method, solves the likelihood function of the reservoir elastic parameter;
4) the likelihood function value based on the obtained reservoir elastic parameter solves the second inversion equation and obtains the reservoir object Property parameter value,
Wherein, the reservoir parameter includes the reservoir elastic parameter and the reservoir physical parameter.
2. the reservoir parameter predication method according to claim 1 based on Bayes's classification, wherein
The reservoir physical parameter includes porosity φ, water saturation sw and shale content C;
The reservoir elastic parameter includes velocity of longitudinal wave Vp, shear wave velocity VsAnd density p.
3. the reservoir parameter predication method according to claim 2 based on Bayes's classification, wherein reservoir object described in inverting Property parameter is any one or any combination in porosity φ, water saturation sw and shale content C.
4. the reservoir parameter predication method according to claim 2 based on Bayes's classification, wherein the first inverting side Journey are as follows:
Wherein, [φ, sw, C] is reservoir physical parameter, and φ is porosity, and sw is water saturation, is shale content; For reservoir elastic parameter, VpFor velocity of longitudinal wave, VsFor shear wave velocity, ρ is density;J is the classification number of reservoir physical parameter.
5. the reservoir parameter predication method according to claim 4 based on Bayes's classification, wherein the second inverting side Journey are as follows:
Wherein, [φ, sw, C] is reservoir physical parameter, and φ is porosity, and sw is water saturation, and C is shale content;For reservoir elastic parameter, VpFor velocity of longitudinal wave, VsFor shear wave velocity, ρ is density;J is the classification of reservoir physical parameter Number;P([[φ,sw,C]j) it is reservoir physical parameter prior distribution;P(Vp|[φ,sw,C]j) be velocity of longitudinal wave likelihood function, P (Vs|[φ,sw,C]j) be shear wave velocity likelihood function, P (ρ | [φ, sw, C]j) be density likelihood function.
6. the reservoir parameter predication method according to claim 1 based on Bayes's classification, wherein be based on Bayes-sequence Gauss method is passed through, the likelihood function for solving the reservoir elastic parameter includes:
3.1) three dimensional reservoir framework is created, by original well data and includes the intracorporal reservoir parameter of column to simulation lattice unit Mean value transformation at normal distribution data;
3.2) random walk of the access to simulation lattice unit is specified;
3.3) from local distribution function p (xo|xs,z1,z2) in random sampling obtain xoAnalog result, wherein xoIt indicates to mould Quasi- value, xsIndicate the value simulated in neighbouring unit, z1And z2It is comprising xoThe first intracorporal reservoir of the column at place Parameter and second of reservoir parameter;
3.4) by xoAs the value simulated, continue to simulate other grid cells according to the random walk that step 3.2) is specified, directly To having accessed all grid cells;
3.5) normal state inverse transformation is carried out to step 3.4) analog result, obtains the likelihood function value of the reservoir elastic parameter.
7. the reservoir parameter predication method according to claim 6 based on Bayes's classification, in step 3.3) by with Lower step is from local distribution function p (xo|xs,z1,z2) in random sampling obtain xoAnalog result include:
A) based on Bayes' theorem to the local distribution function p (xo|xs,z1,z2) converted, it obtains:
p(xo|xs,z1,z2)∝p(xo|xs)f(z1|xs,xo)g(z2|xs,xo,z1) (3)
Wherein, xoIndicate value to be simulated, x in current unitsIndicate the value simulated in neighbouring unit, p (xo|xs) it is sequence Pass through the condition distribution of Gauss simulation;f(z1|xs,xo) be distributed for the condition of the first reservoir parameter;g(z2|xs,xo,z1) it is second The condition distribution of kind reservoir parameter;
B) similar based on the normal state condition distribution during being simulated to the condition distribution in formula (3) with Gauss, formula (3) are become It is changed to:
p(x0|xs,z1,z2)∝N(mSKSK 2)×N(mff 2)×N(mgg 2) (4)
Wherein, N (mSKSK 2) indicate x0Gaussian Profile, mSKSK 2Indicate x0Mean value and variance, N (mff 2) indicate first The Gaussian Profile of kind reservoir parameter, mf, σf 2Indicate z1Mean value and variance, N (mgg 2) indicate second of reservoir parameter Gauss Distribution, mgg 2Indicate z2Mean value and variance.
C) by seeking mSKSK 2, mff 2, mgg 2To obtain local distribution function value.
8. a kind of reservoir parameter forecast system based on Bayes's classification, which is characterized in that the system comprises memories, processing Device and storage on a memory and the computer program that can run on a processor, the reality when processor executes described program Existing following steps:
1) it is based on known reservoir elastic parameter, establishes the first inversion equation of reservoir physical parameter;
2) it is based on Bayesian formula, first inversion equation is converted to second of the likelihood function about reservoir elastic parameter Inversion equation;
3) it is based on Bayes-sequence Gauss method, solves the likelihood function of the reservoir elastic parameter;
4) the likelihood function value based on obtained reservoir elastic parameter solves the second inversion equation and obtains the reservoir properties ginseng Numerical value,
Wherein, the reservoir parameter includes the reservoir elastic parameter and the reservoir physical parameter.
9. the reservoir parameter forecast system according to claim 8 based on Bayes's classification, wherein
The reservoir physical parameter includes porosity φ, water saturation sw and shale content C;
The reservoir elastic parameter includes velocity of longitudinal wave Vp, shear wave velocity VsAnd density p.
10. the reservoir parameter forecast system according to claim 8 based on Bayes's classification, wherein reservoir described in inverting Physical parameter is any one or any combination in porosity φ, water saturation sw and shale content C.
CN201710548360.9A 2017-07-06 2017-07-06 Reservoir parameter predication method and system based on Bayes's classification Pending CN109214025A (en)

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