CN106055827A - Oil deposit numerical value simulation parameter sensibility analysis device and method - Google Patents
Oil deposit numerical value simulation parameter sensibility analysis device and method Download PDFInfo
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Abstract
The invention relates to an oil deposit numerical value simulation parameter sensibility analysis device and method. The technical scheme of the oil deposit numerical value simulation parameter sensibility analysis device is that the oil deposit numerical value simulation parameter sensibility analysis device comprises a parameter acquisition device, a model construction device, a solving device and an analysis device, wherein the parameter acquisition device, wherein the parameter acquisition device is used for connecting with an oil deposit numerical value simulator and obtaining the parameter and the data field of a simulation result; the model construction device is use for constructing an adjoint model of which the adjoint variable is independent of a simulation calculation variable and constructing the coefficient matrix of the adjoint model according to a simulator solving result; the solving device is used for solving the adjoint variable and utilizing the obtained adjoint variable to solve a sensitivity coefficient matrix, which relates to a model control variable, of the target function; and the analysis device carries out parameter sensitivity performance analysis according to an obtained result. The device has the beneficial effects that efficiency for oil deposit engineers to carry out history matching can be greatly improved, a high-quality matching result is obtained, a fitting period is obviously shortened, the oil deposit engineers do not need to focus energy on earlier stage complex reservoir physical property parameters, and therefore, personnel cost is lowered.
Description
Technical field
The present invention relates to a kind of Oil and Natural Gas Engineering field, particularly to a kind of reservoir numerical simulation sensitivity to parameter
Analytical equipment and method.
Background technology
From the point of view of reservoir engineer, solve problem of reservoir engineering and use numerical simulation technology in a large number, how to verify numerical value
The reliability of analogsimulation is the work of history matching, but during conventional history matching, once can only operate a bite well
Or a well group can be operated, it is difficult to judge that the every parameter of reservoir is the result how affecting history matching intuitively, pole
It is subjective, and the tediously long time is carrying out trial and error process repeatedly.In order to accelerate precision and the efficiency of history matching, it is proposed that multiple grind
Study carefully method.
Assist the business software of history matching at present about reservoir numerical simulation in petroleum works field, as
The SimOpt module of Schlumberger company Eclipse, the CMOST module of CMG software of CMG company, Roxar company
EnABLE etc., the parameters sensitivity analysis method of employing mainly has two kinds: gradient simulator method and EXPERIMENTAL DESIGN method.
Gradient simulator method calculates target by direct solution flow model in porous media state equation about the gradient of control variable
The function sensitivity to model parameter, its process is as follows:
(1) difference setting up flow model in porous media state equation solves form, and for each grid block, state variable includes phase pressureAnd phase saturation.It addition, for the grid block containing well, bottom pressureAlso serve as state variable.The control of model becomes
Amount generally comprises: the permeability in three directions、、, porosity, relative permeabilityAnd skin factorDeng.
(2) directly a certain control variable derivation is obtained gradient equations according to state equation.
(3) a certain observation data are defined as about state variableAnd control variableObject function.Then object functionTo control variable?The Grad in moment is the sensitivity controlling parameter about observed parameter.
For solving a certain observation data derivative to all model parameters, need structure and solve and model parameter quantity phase
Deng gradient equations.Hypothesized model number of parameters is, production time step is, then observation data all time pair is obtained
The Grad of all model parameters, in addition to needs solving state equation, also needs additionally to solveSubgradient equation.
Therefore, gradient method has amount of calculation and is proportional to the feature of model parameter quantity, and this makes processing containing a large amount of moulds
Cannot realize during the problem of shape parameter.Actual numerical simulation for oil-gas reservoir model usually contains huge number of grid node (tens
The block models of ten thousand nodes is relatively conventional), and usually contain some parameters on each grid node and (such as permeability, porosity, have
Effect thickness etc.), model parameter enormous amount.For each parameter, the calculating target function fortune to the gradient of this parameter
Evaluation time can have more 20% than simulator normal operation, obtain the sensitivity of all mesh parameters by be one the hugest
Engineering, only model variable is fewer when, the method is just suitable for.
First EXPERIMENTAL DESIGN method determines the span that each parameter is possible, by certain test design method (as just
Hand over EXPERIMENTAL DESIGN, Latin hypercube design etc.), strategy parameter is carried out reasonable combination design, covers all by less scheme
Strategy parameter scope, and use corresponding statistical analysis technique, study and predict that the variation of these parameters is to model output valve
Influence degree, evaluate parameters sensitivity rank.EXPERIMENTAL DESIGN method equally exists certain limitation: model parameter becomes
Change scope choose and the design of testing program is respectively provided with certain subjectivity；Need to design multiple testing program, repeatedly transport
Row simulator, operand is big；When the model parameter of required research is too many, uses statistical method to process the result obtained and pay no attention to
Thinking, precision does not reaches requirement.
Summary of the invention
The purpose of the present invention is aiming at the drawbacks described above that prior art exists, it is provided that a kind of reservoir numerical simulation parameter is quick
Perceptual analysis device and method, it is possible to utilize computer means quick optimization model responsive parameter, determine the dependency of parameter,
The auxiliary reservoir engineer's in-depth understanding to oil reservoir, improves the efficiency of reservoir numerical simulation history matching work.
A kind of reservoir numerical simulation parameters sensitivity analysis device that the present invention mentions, its technical scheme is to include following dress
Put:
Parameter obtaining device, for being connected and obtain parameter and the data fields of analog result with numerical simulator；
Model construction device, calculates the associated model of variable, and asks according to simulator for building adjoint variable independent of simulation
Solve result and build the coefficient matrix of associated model；
Solving device, is used for solving adjoint variable, the adjoint variable obtained by utilization, solves object function and becomes about model cootrol
The sensitivity coefficient matrix of amount；
Analytical equipment, carries out sensitivity to parameter impact analysis according to the result obtained.
Preferably, parameter obtaining device is connected with multiple commercial oil pool numerical simulation and gets parms.
A kind of reservoir numerical simulation parameters sensitivity analysis method that the present invention mentions, comprises the following steps:
Set up adjoint variable and calculate the associated model of variable independent of simulation, it is to avoid direct solution gradient equations；
Build the coefficient matrix of associated model, solve adjoint equation and obtain adjoint variable；
Set up sensitivity coefficient accounting equation, the adjoint variable obtained by utilization, solve object function about model cootrol variable
Sensitivity coefficient matrix, carries out sensitivity analysis.
Preferably, associated model is to be built by Lagrangian method, and adjoint variable is independent of the simulation meter of master mould
Calculate variable, it is to avoid direct solution gradient equations.
Preferably, the coefficient matrix of above-mentioned associated model is obtained by the solving result of state equation: in associated model be
Matrix numberFor state equation transposition Jacobian matrix, the Jacobian matrix transposition during state equation iterative obtain
Arrive, it is not necessary to rebuild；Coefficient matrixFor with state equation accumulation term-term matrix, the accumulation item derivation of state equation resolve
Arrive；For object function about the partial derivative of control variable, the governing equation derivation of well resolve and obtain.
The invention has the beneficial effects as follows: the coefficient matrix of (1) associated model, can be direct without complicated generation building process
Derive from the solving result of state equation；(2) solve the amount of calculation of gradient be only dependent upon observation data bulk number, and do not take
Certainly in the quantity of model parameter, for solving a certain observation data derivative to all model parameters, only need to construct and solve one
Corresponding adjoint equation；(3) computational efficiency is high, only need to just drill a master mould and associated model of inverting, it is possible to
To the sensitivity coefficient of all each mesh parameters of time, substantially increase parameters sensitivity analysis efficiency.
In a word, the present invention can be greatly enhanced reservoir engineer and carry out the efficiency of history matching, obtains high-quality plan
Close result, hence it is evident that shorten the matching cycle, and need not energy to concentrate on the reservoir physical parameter that early stage is complicated, reduce personnel
Cost.
Accompanying drawing explanation
Fig. 1 is assembly of the invention block diagram；
Fig. 2 is the techniqueflow chart of the present invention；
Fig. 3 is the analysis process block diagram of the present invention；
In upper figure: step 210,220,230, step 310,320,330, parameter obtaining device 510, model construction device 520, ask
Solve device 530, analytical equipment 540.
Detailed description of the invention
In conjunction with accompanying drawing 1-3, the invention will be further described:
A kind of reservoir numerical simulation parameters sensitivity analysis device that the present invention mentions, its technical scheme is to include with lower part:
Parameter obtaining device 510, for being connected and obtain parameter and the data fields of analog result with numerical simulator；
Model construction device 520, calculates the associated model of variable for building adjoint variable independent of simulation, and according to simulator
Solving result builds the coefficient matrix of associated model；
Solving device 530, is used for solving adjoint variable, the adjoint variable obtained by utilization, solves object function about model control
The sensitivity coefficient matrix of variable processed；
Analytical equipment 540, carries out sensitivity to parameter impact analysis according to the result obtained.
Preferably, parameter obtaining device is connected with multiple commercial oil pool numerical simulation and gets parms.
It addition, a kind of reservoir numerical simulation parameters sensitivity analysis method that the present invention mentions, comprise the following steps:
Set up adjoint variable and calculate the associated model of variable independent of simulation, it is to avoid direct solution gradient equations；
Build the coefficient matrix of associated model, solve adjoint equation and obtain adjoint variable；
Set up sensitivity coefficient accounting equation, the adjoint variable obtained by utilization, solve object function about model cootrol variable
Sensitivity coefficient matrix, carries out sensitivity analysis.
Preferably, associated model is to be built by Lagrangian method, and adjoint variable is independent of the simulation meter of master mould
Calculate variable, it is to avoid direct solution gradient equations.
Preferably, the coefficient matrix of above-mentioned associated model is obtained by the solving result of state equation: in associated model be
Matrix numberFor state equation transposition Jacobian matrix, the Jacobian matrix transposition during state equation iterative obtain
Arrive, it is not necessary to rebuild；Coefficient matrixFor with state equation accumulation term-term matrix, the accumulation item derivation of state equation resolve
Arrive；For object function about the partial derivative of control variable, the governing equation derivation of well resolve and obtain.
Shown in Fig. 2 is the technical flow calculating numerical reservoir model history fitting parameter sensitivity based on adjoint system method
Cheng Tu, the scheme of consumption when this method can realize greatly shortening calculating.
In its step 210, set up adjoint equation:
The target of reservoir numerical simulation parameters sensitivity analysis is the sensitivity that calculating target function changes about control variable,
The i.e. calculating target function Grad to control variable.The present invention is theoretical based on adjoint system, by introducing Lagrangian
Set up with functional:
In formula,For object function,Adjoint variable can be claimed in Three-dimensional Flow.
Obtain with functional total differential:
By carrying out total differential with functional and adding constraints and obtain the coefficient matrix of adjoint variable, then obtain with change
Amount is independent of the adjoint equation of model state variable:
In formula:=state equation transposition Jacobian matrix；=and state equation accumulation term-term matrix；=target letter
Number is about the partial derivative of control variable.
In its step 220, solve adjoint variable:
Solve adjoint equation formula according to inverse chronological order, i.e. can get the adjoint variable of each time step.
In its step 230, set up sensitivity coefficient accounting equation, solve sensitivity coefficient matrix.
WillAs control variableFunction, rightCarry out total differential to obtain:
By contrast (3) and formula (4), can obtain sensitivity coefficient equation to be tried to achieve is:
In formula:For the object function derivative to control variable, can be obtained by the governing equation derivation of well；For
The state equation derivative to control variable, can be obtained by state equation derivation.
After Solving Equation of State is restrained, apply the adjoint method calculating target function sensitivity to model cootrol variable
Time, only need to can be realized by two steps: (1) builds associated model correlation matrix, solve associated model and calculate adjoint variable；(2) adjoint variable is brought the adjoint equation independent of model state variable into, solve sensitivity coefficient equation, calculate sensitivity system
Number。
Wherein, object function is production target to be analyzed, such as bottom pressure, producing gas-oil ratioAnd production
Water-oil factorDeng.
Gradient expression formulaIt is no longer dependent on the state variable derivative to control variable, therefore whole process only need to be according to just
Time series solves a set of flow regime equation and solves, with according to inverse time series, the adjoint equation that a set of scale is identical,
By the Grad to all grid control variable of the adjoint equation calculating target function independent of model state variable, it calculates
Measure the most unrelated with the number of control variable, only walk with the production timeRelevant.Unlike tradition gradient method, it is desirable to
The observation data all time Grad to all model parameters, in addition to needs solving state equation, it is only necessary to additionally solve
The secondary adjoint equation formula with state equation same size.
Fig. 3 is illustrated that analysis process block diagram, is that stream is implemented in the simulation calculation module concrete operations implemented based on the present invention
Journey.In the operating process shown in Fig. 3:
Wherein in step 310, the present invention can carry out mould by external conventional numerical simulator (such as Eclipse, CMG etc.)
Type result of calculation and the data acquisition of parameter field, be used for building adjoint matrix model and subsequent calculations.Next sets up adjoint equation,
First, under finite volume control method, obtain that oil reservoir is heterogeneous, the state equation of multicomponent constant temperature seepage flow use fully implicit solution limited
Difference method solves.Finally, theoretical according to adjoint system, set up about object function and state by introducing Lagrangian
The adjoint functional of equation, sets up the adjoint variable adjoint equation independent of model state variable by adding constraints.Its
The left end term coefficient matrix of middle adjoint equation can directly be obtained by the Jacobian matrix transposition during state equation iterative,
Without rebuilding.Right-hand vector coefficient matrix is only relevant with the accumulation item of state equation, can directly accumulation item derivation to state equation
Obtaining, object function can be obtained by the direct governing equation parsing to well about the partial derivative matrix of control variable.
Wherein in step 320, purpose is intended to solve adjoint variable, utilizes linear algebra solution musical instruments used in a Buddhist or Taoist mass according to inverse chronological order
Solve adjoint equation formula, i.e. can get the adjoint variable of each time step.
In a step 330, purpose is intended to set up sensitivity coefficient accounting equation, solves sensitivity coefficient matrix.By to mesh
Scalar functions carries out total differential process about the expression formula of control variable, and contrast, with functional derivative expression formula, obtains object function
Gradient matrix (sensitivity coefficient matrix) to control variable, and solve.
Use reservoir numerical simulation parameters sensitivity analysis new technique based on associated model provided by the present invention and dress
Put, reservoir engineer can be greatly enhanced and carry out the efficiency of history matching, obtain high-quality fitting result, hence it is evident that shorten and intend
The conjunction cycle, and need not energy to concentrate on the reservoir physical parameter that early stage is complicated, reduce personnel cost.
The above, be only the part preferred embodiment of the present invention, and any those of ordinary skill in the art all may profit
Revised or be revised as the technical scheme of equivalent by the technical scheme of above-mentioned elaboration.Therefore, according to the technology of the present invention
Any simple modification that scheme is carried out or substitute equivalents, belong to the greatest extent the scope of protection of present invention.
Claims (5)
1. a reservoir numerical simulation parameters sensitivity analysis device, is characterized in that including:
Parameter obtaining device, for being connected and obtain parameter and the data fields of analog result with numerical simulator；
Model construction device, calculates the associated model of variable, and asks according to simulator for building adjoint variable independent of simulation
Solve result and build the coefficient matrix of associated model；
Solving device, is used for solving adjoint variable, the adjoint variable obtained by utilization, solves object function and becomes about model cootrol
The sensitivity coefficient matrix of amount；
Analytical equipment, carries out sensitivity to parameter impact analysis according to the result obtained.
Reservoir numerical simulation parameters sensitivity analysis system the most according to claim 1, is characterized in that: parameter obtaining device
It is connected with multiple commercial oil pool numerical simulation and gets parms.
3. a reservoir numerical simulation parameters sensitivity analysis method as claimed in claim 1 or 2, is characterized in that including following
Step:
Set up adjoint variable and calculate the associated model of variable independent of simulation, it is to avoid direct solution gradient equations；
Build the coefficient matrix of associated model, solve adjoint equation and obtain adjoint variable；
Set up sensitivity coefficient accounting equation, the adjoint variable obtained by utilization, solve object function about model cootrol variable
Sensitivity coefficient matrix, carries out sensitivity analysis.
Reservoir numerical simulation parameters sensitivity analysis method the most according to claim 3, is characterized in that: associated model is logical
Crossing Lagrangian method to build, adjoint variable calculates variable independent of the simulation of master mould, it is to avoid direct solution gradient equations.
Reservoir numerical simulation parameters sensitivity analysis method the most according to claim 4, is characterized in that: described associated model
Coefficient matrix obtained by the solving result of state equation: the coefficient matrix in associated modelFor state equation transposition is refined can
Ratio matrix, is obtained by the Jacobian matrix transposition during state equation iterative, it is not necessary to rebuild；Coefficient matrixFor with shape
State equation accumulation term-term matrix, is resolved by the accumulation item derivation of state equation and obtains；For object function about control variable
Partial derivative, by well governing equation derivation resolve obtain.
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Cited By (8)
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| CN106886649A (en) * | 2017-03-01 | 2017-06-23 | 中国海洋石油总公司 | A kind of multielement hot fluid is handled up injection parameter optimization method |
| CN109670195A (en) * | 2018-07-30 | 2019-04-23 | 长江大学 | The EnKF oil reservoir for merging the localization of individual well sensibility assists history-matching method |
| CN109726465A (en) * | 2018-12-26 | 2019-05-07 | 电子科技大学 | The three-dimensional method for numerical simulation streamed without viscous low speed based on non-structural curl grid |
| CN109902329A (en) * | 2018-09-21 | 2019-06-18 | 长江大学 | A kind of reservoir modeling auxiliary history-matching method, system, storage medium and equipment |
| CN110634534A (en) * | 2018-06-06 | 2019-12-31 | 中国石油化工股份有限公司 | Chemical process parameter sensitivity determination method based on extended Fourier amplitude analysis |
| CN112417737A (en) * | 2020-12-11 | 2021-02-26 | 西南石油大学 | Unconventional oil and gas reservoir flow distribution model parameter sensitivity acquisition method and system |
| CN112580861A (en) * | 2020-12-11 | 2021-03-30 | 西南石油大学 | Control method and system for production optimization problem of unconventional oil and gas reservoir |
| CN115470664A (en) * | 2022-11-15 | 2022-12-13 | 中科数智能源科技(深圳)有限公司 | Fracture oil reservoir fracture sensitivity analysis method |
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| CN106886649A (en) * | 2017-03-01 | 2017-06-23 | 中国海洋石油总公司 | A kind of multielement hot fluid is handled up injection parameter optimization method |
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| CN109726465B (en) * | 2018-12-26 | 2022-07-29 | 电子科技大学 | Three-dimensional non-adhesive low-speed streaming numerical simulation method based on non-structural curved edge grid |
| CN112417737A (en) * | 2020-12-11 | 2021-02-26 | 西南石油大学 | Unconventional oil and gas reservoir flow distribution model parameter sensitivity acquisition method and system |
| CN112580861A (en) * | 2020-12-11 | 2021-03-30 | 西南石油大学 | Control method and system for production optimization problem of unconventional oil and gas reservoir |
| CN112580861B (en) * | 2020-12-11 | 2022-11-01 | 西南石油大学 | Control method and system for production optimization problem of unconventional oil and gas reservoir |
| CN115470664A (en) * | 2022-11-15 | 2022-12-13 | 中科数智能源科技(深圳)有限公司 | Fracture oil reservoir fracture sensitivity analysis method |
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