CN106503407A - There is the well test analysis method and device of the linear water enchroachment (invasion) oil reservoir of part connection tomography - Google Patents
There is the well test analysis method and device of the linear water enchroachment (invasion) oil reservoir of part connection tomography Download PDFInfo
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- CN106503407A CN106503407A CN201611102372.0A CN201611102372A CN106503407A CN 106503407 A CN106503407 A CN 106503407A CN 201611102372 A CN201611102372 A CN 201611102372A CN 106503407 A CN106503407 A CN 106503407A
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- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
Abstract
The present invention relates to a kind of well test analysis method of the linear water enchroachment (invasion) oil reservoir that there is part connection tomography and device, comprise the following steps:1) there is the bottom pressure value that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography in collection;2) the actual bottom pressure variation relation value that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is calculated;3) according to the bottom pressure expression formula and the analog parameter value of input of the linear water enchroachment (invasion) oil reservoir producing well that there is part connection tomography, calculate and there is the simulation bottom pressure variation relation value for partly connecting the linear water enchroachment (invasion) oil reservoir producing well of tomography;4) according to actual bottom pressure variation relation value, it is modified to simulating the corresponding analog parameter value of bottom pressure variation relation value, and the well test analysis parameter value that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is obtained according to the corresponding analog parameter value of simulation bottom pressure variation relation value after correction, foundation is provided for tomography connecting degree, water body understanding.The present invention is can be widely applied in the well test analysis that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography.
Description
Technical field
The present invention relates to a kind of petroleum industry oil gas well test analysis method and device, connect especially with regard to a kind of presence part
The well test analysis method and device of the linear water enchroachment (invasion) oil reservoir of break-make layer.
Background technology
During hydrocarbon migration and accumulation, tomography is distributed with important control action to oil-gas accumulation, and it can both become oil
The shelter of gas aggregation, can become the passage of oil-gas migration again.During oil and gas development, the presence of tomography directly controls profit
The characteristics of motion, affects waterflooding development effect.What effect tomography plays actually in oil-gas migration, aggregation and waterflooding extraction, and key takes
Certainly in the closure of tomography, the well test analysis research for carrying out fault sealing property is significant.
The closed boundary without flow of fluid is considered as by tomography mainly to the well testing research of fault boundary at present, tomography is differentiated
A common method be exactly Horner semilog plot methods, and to part connection tomography research less.Although oil reservoir development
The oil reservoir WELL TEST INTERPRETATION MODEL that personnel have been for being affected by interface additional drag has carried out research, but their research is only for equal
Matter oil reservoir, Composite Reservoir, Double Porosity Reservoir, and linear water enchroachment (invasion) oil reservoir is not studied.Above-mentioned 2 points of reasons are common
The well test analysis of linear water enchroachment (invasion) oil reservoir is limited to part connection fault boundary and has been, there is part to connect accurate instruction
The linear water enchroachment (invasion) oil reservoir development production of fault boundary has generated very big impact.
By creating the well test model of treble medium oil pool branch horizontal well and then obtaining its bottom pressure in prior art
Expression formula, is then modified to the bottom pressure relation value that simulates according to the actual bottom pressure relation value of collection and finally gives
The related well test analysis parameter value of treble medium oil pool branch horizontal well, which is effectively raised to treble medium oil pool branch water
The accuracy of the well test analysis of horizontal well.However, connecting linear water enchroachment (invasion) oil reservoir producing well and three dense mediums of tomography due to there is part
The Oil Reservoir Types and boundary condition of matter oil pool branch horizontal well are very different, thus can not be directly disconnected to there is part connection
The linear water enchroachment (invasion) oil reservoir of layer carries out well test analysis, and the well test analysis that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is need
Research.
Content of the invention
For the problems referred to above, it is an object of the invention to provide a kind of have the examination that part connects the linear water enchroachment (invasion) oil reservoir of tomography
Well analysis method and device, explain to the stratum static parameter of the linear water enchroachment (invasion) oil reservoir with similar boundary condition, obtain
The connectivity parameters value of tomography, provides foundation for accurate instruction oil field development production.
For achieving the above object, the present invention takes technical scheme below:A kind of have the linear water enchroachment (invasion) that part connects tomography
The well test analysis method of oil reservoir, which comprises the following steps:1) there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography in collection
Bottom pressure value;2) according to bottom pressure value and the corresponding acquisition time of bottom pressure value, calculate and there is part connection tomography
Linear water enchroachment (invasion) oil reservoir producing well actual bottom pressure variation relation value;3) according to the linear water enchroachment (invasion) that there is part connection tomography
The bottom pressure expression formula of oil reservoir producing well and the analog parameter value of input, calculate the linear water enchroachment (invasion) oil for having that part connects tomography
The simulation bottom pressure variation relation value of producing well is hidden, wherein, described have the linear water enchroachment (invasion) oil reservoir production that part connects tomography
The bottom pressure expression formula of well is:
In formula,For the dimensionless bottom pressure expression formula under pull-type space, aDFor dimensionless distance, M is mobility ratio, hD
For thickness ratio, ηDFor piezometric conductivity ratio, S is interface epidermis, and z represents Laplace variable, and e is natural logrithm;4) according to reality
Bottom pressure variation relation value, is modified to simulating the corresponding analog parameter value of bottom pressure variation relation value, and according to repairing
Just the corresponding analog parameter value of simulation bottom pressure variation relation value obtains the linear water enchroachment (invasion) oil reservoir for having that part connects tomography afterwards
Well test analysis parameter value, for tomography connecting degree, water body understanding foundation is provided.
The step 3) in, described have the bottom pressure expression formula that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography
Process of setting up comprise the following steps:1. the physical model that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is set;2. basis
The Mathematical Modeling that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography set up by physical model;3. according to the Mathematical Modeling that sets up, ask
There is the bottom pressure expression formula that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography in solution.
The step 4) in, according to actual bottom pressure variation relation value, corresponding to simulating bottom pressure variation relation value
Analog parameter value be modified, obtain exist part connect tomography linear water enchroachment (invasion) oil reservoir well test analysis parameter value the step of
Including:Judge to simulate whether bottom pressure variation relation value is made a reservation for less than one with the difference of actual bottom pressure variation relation value
Comparative factor;If the difference is more than predetermined comparative factor, to simulating the corresponding analog parameter of bottom pressure variation relation value
Value is modified, until the difference is less than predetermined comparative factor;Obtain simulation bottom pressure variation relation value after revising corresponding
Analog parameter value be exist part connect tomography linear water enchroachment (invasion) oil reservoir well test analysis parameter value.
The step of Mathematical Modeling that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is set up according to physical model includes:Build
The transient seepage flow differential equation of the single-phase micro- compressible liquid in Li Liang areas;Given have the linear water enchroachment (invasion) oil reservoir that part connects tomography
Mathematical Modeling primary condition equation;The perimeter strip of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography
Part equation;The condition of contact equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography.
According to the Mathematical Modeling that sets up, the bottom pressure that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is solved
Expression formula is comprised the following steps:Dimensionless pressure, dimensionless distance and nondimensional time is quoted, nothing is carried out to the Mathematical Modeling
Dimension;By the characteristic of definition bring into the basis partial differential equation of Mathematical Modeling, primary condition equation, boundary condition equation and
Condition of contact equation, obtains zero dimension WELL TEST INTERPRETATION MODEL;The zero dimension WELL TEST INTERPRETATION MODEL for obtaining is carried out Laplce's change
Change, obtain the zero dimension WELL TEST INTERPRETATION MODEL under pull-type space;Zero dimension WELL TEST INTERPRETATION MODEL under pull-type space is asked
Solution, the dimensionless bottom pressure for obtaining the linear water enchroachment (invasion) oil reservoir producing well of the presence part connection tomography under pull-type space are expressed
Formula.
The described transient seepage flow differential equation is:
I areas:
II areas:
Wherein, η1=k1/φ1μ1Ct1, η2=k2/φ2μ2Ct2Respectively I areas, the piezometric conductivity in two region of II areas, p1、p2Point
Not Wei I areas, II areas pressure, k1、k2Respectively I areas, II areas in-place permeability, φ1、φ2Respectively I areas, II areas porosity, μ1、
μ2Respectively I areas, II areas fluid viscosity, Ct1、Ct2Respectively I areas, II areas stratum system compressibility, a is tomography to inner boundary
Distance, t is the time, and x is abscissa.
Described primary condition is:
p1(x, 0)=pi
p2(x, 0)=pi
Wherein, piFor original formation pressure;
Described boundary condition is:
p2(∞, t)=pi
In formula, h1For I areas formation thickness, b is oil reservoir width;
Described condition of contact is:
In formula, λ1=k1/μ1, λ2=k2/μ2Respectively I areas, the mobility in II areas, h2For II areas formation thickness, S is tomography
Interface epidermis.
The dimensionless pressure is:I areas pressureDimensionless II area pressureThe dimensionless distance isThe nondimensional time is
A kind of have the well test analysis device that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and which includes collecting unit, storage
Unit, the first computing unit, the second computing unit, input block and processing unit, it is characterised in that:Deposit in the memory cell
Contain the bottom pressure expression formula that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography:
Wherein,For the dimensionless bottom pressure expression formula under pull-type space, aDFor dimensionless distance, M is mobility ratio, hD
For thickness ratio, ηDFor piezometric conductivity ratio, S is interface epidermis, and z represents Laplace variable, and e is natural logrithm.
The processing unit includes:Judging unit, amending unit and acquiring unit;The judging unit is used for calculating reality
Bottom pressure variation relation value and the difference for simulating bottom pressure variation relation value, and judge whether both differences are pre- less than one
Determine comparative factor, and will determine that result is sent to the amending unit;The amending unit is used for according to the judging unit
Judged result is modified to simulating the corresponding analog parameter value of bottom pressure variation relation value:If both differences are less than predetermined ratio
Compared with the factor, then corresponding for simulation bottom pressure variation relation value analog parameter value is sent to the acquiring unit directly;If two
Person's difference is then modified to analog parameter value more than predetermined comparative factor, after both differences are less than predetermined comparative factor
Analog parameter value is sent to the acquiring unit;The acquiring unit is used for obtaining presence according to revised analog parameter value
The well test analysis parameter value of the linear water enchroachment (invasion) oil reservoir of part connection tomography.
Due to taking above technical scheme, which has advantages below to the present invention:1st, the present invention is connected with part due to utilizing
The relevant bottom pressure expression formula calculating simulation bottom pressure transformation relation value of the interface epidermis of tomography, is that exploitation presence part connects
The linear water enchroachment (invasion) oil reservoir of break-make layer provides new Well Test Data Analysis Method, perfect tries in the oil reservoir containing fault boundary both at home and abroad
Deficiency in well analysis theories, provides powerful guarantee for the oil reservoir development with similar border.2nd, the present invention is real due to adopting
Border bottom pressure changing value is modified to simulating bottom pressure variation relation value, and is become according to revised simulation bottom pressure
Change the corresponding analog parameter value of relation value and obtain the well test analysis parameter that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography, improve
The accuracy of well test analysis.
Description of the drawings
Fig. 1 is the linear water enchroachment (invasion) oil reservoir well test analysis apparatus structure block diagram that the present invention has that part connects tomography
Fig. 2 is the structured flowchart of processing unit in the present invention
Fig. 3 is the linear water enchroachment (invasion) oil reservoir well test analysis method flow chart that the present invention has that part connects tomography
Fig. 4 is the presence of the simplified physical model that part connects the linear water enchroachment (invasion) oil reservoir of tomography in the present invention
Fig. 5 is the well testing numerical fitting of the well test analysis method of the linear water enchroachment (invasion) oil reservoir that the present invention has part connection tomography
Flow chart
Fig. 6 is the well test curve match of the well test analysis method of the linear water enchroachment (invasion) oil reservoir that the present invention has part connection tomography
Flow chart
Fig. 7 is that different interfaces are subepidermal in the embodiment of the present invention has the examination that part connects the linear water enchroachment (invasion) oil reservoir of tomography
Well interpretation chart
Fig. 8 is the examination of the linear water enchroachment (invasion) oil reservoir of presence part connection tomography of the different boundary under in the embodiment of the present invention
Well interpretation chart
Fig. 9 is the well testing of the linear water enchroachment (invasion) oil reservoir of the presence part connection tomography in the embodiment of the present invention under different mobility ratios
Interpretation chart
Figure 10 is the examination of the linear water enchroachment (invasion) oil reservoir of presence part connection tomography of the different-thickness than under in the embodiment of the present invention
Well interpretation chart
Figure 11 is the linear water enchroachment (invasion) oil reservoir that presence part of the different piezometric conductivities than under connects tomography in the embodiment of the present invention
Type curve for well test interpretation
Specific embodiment
With reference to the accompanying drawings and examples the present invention is described in detail.
As shown in figure 1, there is the well test analysis device that part connects the linear water enchroachment (invasion) oil reservoir of tomography in the present invention, including collection
Unit 1, memory cell 2, the first computing unit 3, the second computing unit 4, input block 5 and processing unit 6.
Wherein, the presence part for collecting is connected collecting unit 1 the shaft bottom pressure of the linear water enchroachment (invasion) oil reservoir producing well of tomography
Force value and corresponding acquisition time are sent to the first computing unit 3, and the first computing unit 3 is corresponding with which according to bottom pressure value
Acquisition time, calculates the actual bottom pressure variation relation value that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography.The
Shaft bottom pressure of two computing units 4 according to the linear water enchroachment (invasion) oil reservoir producing well of the presence part connection tomography stored in memory cell 2
Power expression formula and the analog parameter value being input into by input block 5, calculate the linear water enchroachment (invasion) oil reservoir for having that part connects tomography
The simulation bottom pressure variation relation value of producing well.Processing unit 6 is according to actual bottom pressure variation relation value to simulating shaft bottom
Pressure change relation value is modified, and according to the corresponding analog parameter value of revised simulation bottom pressure variation relation value,
Obtain the well test analysis parameter value that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography.
Wherein, the bottom pressure of the linear water enchroachment (invasion) oil reservoir producing well of the presence part connection tomography for storing in memory cell 2
Expression formula is:
In above formula,For the dimensionless bottom pressure expression formula under pull-type space, aDFor dimensionless distance, M is mobility
Than hDFor thickness ratio, ηDFor piezometric conductivity ratio, S is interface epidermis, and z represents Laplace variable, and e is natural logrithm;The shaft bottom
Pressure formula is relevant with the interface epidermis S of part connection tomography.
Input block 2 is used for being input into analog parameter value, and the analog parameter at least includes:Acquisition time parameter, bottom-hole storage
Figure parameters, skin factor parameter, interface epidermis parameter, frontier distance parameter, mobility ratio parameter, thickness are than parameter, pilot system
Number compares parameter.Wherein, acquisition time parameter is the time parameter set by well testing tester, the time parameter not with
Actual bottom pressure value acquisition time is corresponding.
As shown in Fig. 2 processing unit 6 includes:Judging unit 61, amending unit 62 and acquiring unit 63.Wherein, judge single
Unit 61 is used for the difference for calculating actual bottom pressure variation relation value and simulation bottom pressure variation relation value, and judges that both are poor
Whether value is less than a predetermined comparative factor, and will determine that result is sent to amending unit 62.Amending unit 62 is single according to judging
The judged result of unit 61 is modified to simulating the corresponding analog parameter value of bottom pressure variation relation value:If both are less than difference
Predetermined comparative factor, then be directly sent to acquiring unit 63 by corresponding for simulation bottom pressure variation relation value analog parameter value;
If both differences more than predetermined comparative factor, are modified to analog parameter value, until both differences less than predetermined compare because
Analog parameter value is sent to acquiring unit 63 after son.Acquiring unit 63 is obtained according to revised analog parameter value has part
The well test analysis parameter value of the linear water enchroachment (invasion) oil reservoir of connection tomography.
As shown in figure 3, the well test analysis device of the linear water enchroachment (invasion) oil reservoir of tomography is connected based on above-mentioned presence part, the present invention
A kind of well test analysis method of the linear water enchroachment (invasion) oil reservoir that there is part connection tomography is also proposed, following steps are specifically included:
1) there is the bottom pressure value that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography in collection.
As well test analysis is not the overall process of a full oil mining, certain (best two days a period of time is typically gathered
To in three days) the bottom pressure value of interior well testing.
2) according to bottom pressure value and the corresponding acquisition time of bottom pressure value, calculate and there is the linear of part connection tomography
The actual bottom pressure variation relation value of water enchroachment (invasion) oil reservoir producing well.
3) according to bottom pressure expression formula and the mould of input of the linear water enchroachment (invasion) oil reservoir producing well that there is part connection tomography
Intend parameter value, calculate the simulation bottom pressure variation relation value that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography.
Wherein, the bottom pressure expression formula that there is the linear water enchroachment (invasion) oil reservoir producing well of part connection tomography sets up process master
Comprise the steps of:
1. as shown in figure 4, setting the physical model that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography, the physical model symbol
Close it is assumed hereinafter that condition:
I () semi-permeable border both sides I areas and II areas are Homogeneous Reservoir and isotropism, both sides rock behavio(u)r and permeability are not
With the formation parameter such as porosity Φ and permeability k in each area is not with pressure change.
(ii) reservoir fluid is single-phase micro- compressible liquid, and the compressed coefficient and viscosity keep constant, and it is fixed that darcy is obeyed in flowing
Rule.
(iii) reservoir thickness of semi-permeable boundaries on either side is different.
(iv) there is constant flow rate q at inner boundary, ignore the bottom-hole storage and epidermis of inner boundary.
V () introduces the conductivity that the concept of interface epidermis considers the discontinuity surface of two reservoir areas, the physical model is examined
The water body of worry is infinitely-great in its side upwards.
(vi) ignore the impact of gravity and capillary force.
2. Mathematical Modeling (coordinate system such as figure that part connects the linear water enchroachment (invasion) oil reservoir of tomography is had according to physical model foundation
Shown in 4):
A, the transient seepage flow differential equation for setting up the single-phase micro- compressible liquid in twoth area.
I areas:
II areas:
In basis partial differential equation (1) (2), η1=k1/φ1μ1Ct1, η2=k2/φ2μ2Ct2Respectively I areas, two region of II areas
Piezometric conductivity, p1、p2Respectively I areas, II areas pressure, k1、k2Respectively I areas, II areas in-place permeability, φ1、φ2Respectively I
Area, II areas porosity, μ1、μ2Respectively I areas, II areas fluid viscosity, Ct1、Ct2Respectively system is comprehensively compressed on I areas, II areas stratum
Number, a are distance of the tomography to inner boundary, and t is the time, and x is abscissa.
B, the primary condition equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography:
p1(x, 0)=pi(3)
p2(x, 0)=pi(4)
In primary condition (3) (4), piFor original formation pressure.
C, the boundary condition equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography:
p2(∞, t)=pi(6)
In boundary condition (5), h1For I areas formation thickness, b is oil reservoir width.
D, the condition of contact equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography:
In boundary condition (7) (8), λ1=k1/μ1, λ2=k2/μ2Respectively I areas, the mobility in II areas, h2For II areas ground thickness
Degree, interface epidermises of the S for tomography.
3. according to the Mathematical Modeling that sets up, the shaft bottom pressure that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is solved
Power expression formula:
A, define characteristic, to step 2. in Mathematical Modeling carry out nondimensionalization.
Quote dimensionless I area pressureDimensionless II area pressureDimensionless distanceNondimensional time
Mobility ratioThickness ratioPiezometric conductivity ratioInterface epidermisWherein
q*The flow on fault plane is represented, it is to change over time.In addition, in various above, being determined with unit 1
Adopted zero dimension distance, pressure and time.
B, characteristic defined above is substituted into mathematical modulo pattern (1)~(8), following zero dimension well test analysis is obtained
Model:
Dimensionless basis partial differential equation:
I areas:
II areas:
Dimensionless primary condition:
p1D(xD, 0)=0 (11)
p2D(xD, 0)=0 (12)
Dimensionless boundary condition:
p2D(∞,tD)=0 (14)
Dimensionless condition of contact:
C, zero dimension WELL TEST INTERPRETATION MODEL i.e. formula (9)~(16) for obtaining are taken based on tDLaplce (Laplace)
Conversion, is obtained the zero dimension WELL TEST INTERPRETATION MODEL of Laplace space:
D, the zero dimension WELL TEST INTERPRETATION MODEL under pull-type space is solved, the presence part obtained under pull-type space connects
The dimensionless bottom pressure expression formula of the linear water enchroachment (invasion) oil reservoir producing well of break-make layer.
It is computed understanding, the general solution of formula (17) and (18) is:
Therefore, the pressure drop at the inner boundary can pass throughExpression formula make xD=0 obtains:
Boundary condition and condition of contact (19)~(22) are substituted into (23)~(24), can be obtained:
C3=0 (28)
In above formula (26)~(29):
Formula (27) is substituted into (25) to obtain:
Formula (32) is disconnected with regard to not considering that the presence part under Laplace space of the well bore storage effect with skin effect connects
The dimensionless bottom pressure expression formula of the linear water enchroachment (invasion) oil reservoir producing well of layer.Those skilled in the art can be according to the existing of this area
Technology is learnt, it is considered to which the shaft bottom dimensionless pressure after well storage effect and skin effect under Laplace space is reduced to:
For the solution in required Laplace spaces, i.e. relational expression (33), the real space is converted it to, using Stehfest numbers
Value inverting:
In formula:
In above formula (32) (33),Represent zero dimension shaft bottom in the Laplace space for do not consider well storage and skin effect impact
Pressure;Represent zero dimension bottom pressure in the Laplace space of the storage of consideration well and skin effect impact;SFRepresent skin factor;
CDRepresent dimensionless well storage coefficient;Z represents Laplace variable.
4) according to actual bottom pressure variation relation value, to simulating the corresponding analog parameter value of bottom pressure variation relation value
Be modified, and it is disconnected the connection of presence part to be obtained according to the corresponding analog parameter value of simulation bottom pressure variation relation value after correction
The well test analysis parameter value of the linear water enchroachment (invasion) oil reservoir of layer, provides foundation for tomography connecting degree, water body understanding.
According to actual bottom pressure variation relation value, enter to simulating the corresponding analog parameter value of bottom pressure variation relation value
Row is revised, and acquisition presence part connects concretely comprising the following steps for the well test analysis parameter value of the linear water enchroachment (invasion) oil reservoir of tomography:
Judge the difference for simulating bottom pressure variation relation value and actual bottom pressure variation relation value whether less than one
Predetermined comparative factor, if difference is more than predetermined comparative factor, to simulating the corresponding analog parameter of bottom pressure variation relation value
Value is modified, until difference is less than predetermined comparative factor;Obtain
It is the well test analysis parameter value that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography to intend parameter value.
Wherein, step 2)~step 4) Digital filting or well test curve match method can be adopted to realize, with reference to tool
Body embodiment, is further elaborated to the well test analysis method that the present invention has the linear water enchroachment (invasion) oil reservoir that part connects tomography.
As shown in figure 5, realizing that the present invention has the linear water enchroachment (invasion) oil reservoir that part connects tomography using well testing Digital filting
Well test analysis method, specifically include following steps:
1) there is the bottom pressure value that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography in collection.
2) according to bottom pressure value and the corresponding acquisition time of bottom pressure value of collection, well testing feature is drawn bent
Line.
The bottom pressure value of collection and the bottom pressure value corresponding acquisition time is plotted in log-log coordinate,
Well test curve is obtained, namely the actual bottom pressure change that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is closed
Set occurrence.
3) analog parameter is chosen, and according to the analog parameter and bottom pressure expression formula chosen, calculating simulation bottom pressure becomes
Change relation value.
Analog parameter at least includes:Multiple time parameters, bottom-hole storage figure parameters, skin factor parameter, interface epidermis
Parameter, frontier distance parameter, mobility ratio parameter, thickness compare parameter than parameter, piezometric conductivity.Wherein, bottom pressure value is simulated
Number is identical with the number of time parameter.
4) according to the simulation bottom pressure variation relation value and corresponding time parameter for obtaining, well test model is drawn bent
Line.
The characteristic of each simulation bottom pressure value and the corresponding time parameter of simulation bottom pressure value is drawn
In log-log coordinate, theoretical model curves are obtained.The theoretical model curves shape is by other beyond time parameter
Parameters determine.
5) well test model curve and well test curve are fitted, judge well test model curve and well test curve
Whether shape is similar, if it is, execution step is 7);If it is not, then execution step is 6).
By whether comparing well test model curve with the coordinate difference of well test curve less than a predetermined comparative factor, sentence
Whether the shape of disconnected two curves is similar.If the coordinate difference of two curves is less than predetermined comparative factor, the shape of two curves
Shape is similar, if the coordinate difference of two curves is more than predetermined comparative factor, the shape of two curves is dissimilar.
6) it is modified to simulating the corresponding analog parameter value of bottom pressure changing value, and 3) return to step recalculates mould
Well test model curve is drawn after intending bottom pressure value and judges whether well test model curve is similar to well test curve shape, directly
Similar to well test curve shape to well test model curve.
7) obtained according to the corresponding analog parameter value of revised well test model curve and there is the linear of part connection tomography
The value of the corresponding well test analysis parameter of water enchroachment (invasion) oil reservoir, is there is part to connect tomography using the value of the well test analysis parameter for obtaining
Linear water enchroachment (invasion) oil reservoir tomography connectivity analysis, water body type identification provide foundation, so as to accurate instruction oil field development is produced.
As shown in fig. 6, realizing that the present invention has the linear water enchroachment (invasion) oil reservoir that part connects tomography using well test curve match method
Well test analysis method, specifically include following steps:
1) there is the bottom pressure value that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography in collection.
2) according to bottom pressure value and the corresponding acquisition time of bottom pressure value of collection, well testing feature is drawn bent
Line.
The bottom pressure value of collection and the bottom pressure value corresponding acquisition time is plotted in log-log coordinate,
Well test curve is obtained, namely the actual bottom pressure change that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is closed
Set occurrence.
3) analog parameter is chosen, and according to the analog parameter and bottom pressure expression formula chosen, calculating simulation bottom pressure becomes
Change relation value.
Multigroup analog parameter is chosen, according to every group of analog parameter and bottom pressure expression formula (32) or (33) are chosen, is calculated
Multigroup simulation bottom pressure variation relation value.Wherein, every group of analog parameter at least includes:Multiple time parameters, bottom-hole storage system
Number parameter, skin factor parameter, interface epidermis parameter, frontier distance parameter, mobility ratio parameter, thickness are than parameter, piezometric conductivity
Compare parameter.In addition to time parameter, a certain parameter of every group of analog parameter is taken outside a series of different value, and the ginseng of other items
Number immobilizes.For example, when choosing four groups of analog parameters, the interface epidermis S in every group of analog parameter is taken 0 respectively, 1000,
10000th, 100000, and other the every analog parameters in four groups of analog parameters are all identical.
4) according to the simulation bottom pressure variation relation value and corresponding time parameter for obtaining, well test analysis figure is set up
Version.
Each simulation bottom pressure value that per group is simulated in bottom pressure value and its dimensionless of corresponding time parameter
Amount is plotted in a log-log coordinate, and per group of simulation bottom pressure value corresponds to a well test model curve, in a double-log
Multiple well test model curves in coordinate constitute a type curve for well test interpretation.
As shown in Fig. 7~Figure 11, it is the type curve for well test interpretation for obtaining.In Fig. 7, eight curves are respectively part connection tomography
When epidermis S in interface is equal to 0,1000,10000,100000, pressure and pressure derivative well test model curve.In Fig. 8, six curves
Respectively frontier distance aDWhen being equal to 10,100,500, pressure and pressure derivative well test model curve.In Fig. 9, six curves point
Not Wei mobility ratio when being equal to 0.1,1,10, pressure and pressure derivative well test model curve.In Figure 10, six curves are respectively thickness
Than being equal to when 0.1,1,10, pressure and pressure derivative well test model curve.In Figure 11, six curves are respectively piezometric conductivity ratio etc.
When 0.1,1,10, pressure and pressure derivative well test model curve.
5) well test curve is mutually superimposed with each the well test model curve in type curve for well test interpretation, wherein will be with examination
Analog parameter value corresponding to the closest well test model curve of well indicatrix shape connects tomography as there is part
The value of the corresponding well test analysis parameter of linear water enchroachment (invasion) oil reservoir.Value using the well test analysis parameter for obtaining is disconnected for there is part connection
The linear water enchroachment (invasion) oil reservoir tomography connectivity analysis of layer, water body type identification provide foundation, so as to accurate instruction oil field development is produced.
When the coordinate difference between certain the well test model curve and well test curve in type curve for well test interpretation is less than predetermined
During comparative factor, the shape of two curves is closest or even overlaps.The well test model closest with well test curve is bent
Certain point simulation corresponding bottom-hole storage figure parameters of bottom pressure value in line, skin factor parameter, interface epidermis parameter, border away from
It is exactly in well test curve than parameter, piezometric conductivity than the isoparametric parameter value of parameter from parameter, mobility ratio parameter, thickness
Certain corresponding well test analysis parameter of point actual measurement bottom pressure value corresponding, is the presence of portion using the value of the well test analysis parameter for obtaining
The linear water enchroachment (invasion) oil reservoir tomography connectivity analysis of connection tomography, water body type identification are divided to provide foundation.
The various embodiments described above are merely to illustrate the present invention, the structure of wherein each part, connected mode and manufacture craft etc. all
Can be varied from, every equivalents carried out on the basis of technical solution of the present invention and improvement should not be excluded
Outside protection scope of the present invention.
Claims (10)
1. a kind of have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and which comprises the following steps:
1) there is the bottom pressure value that part connects the linear water enchroachment (invasion) oil reservoir producing well of tomography in collection;
2) according to bottom pressure value and the corresponding acquisition time of bottom pressure value, the linear water enchroachment (invasion) for having that part connects tomography is calculated
The actual bottom pressure variation relation value of oil reservoir producing well;
3) according to the bottom pressure expression formula and the simulation ginseng of input of the linear water enchroachment (invasion) oil reservoir producing well that there is part connection tomography
Numerical value, calculates the simulation bottom pressure variation relation value that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography, wherein, institute
State to there is part and connect the bottom pressure expression formula of linear water enchroachment (invasion) oil reservoir producing well of tomography and be:
In formula,For the dimensionless bottom pressure expression formula under pull-type space, aDFor dimensionless distance, M is mobility ratio, hDFor thickness
Degree ratio, ηDFor piezometric conductivity ratio, S is interface epidermis, and z represents Laplace variable, and e is natural logrithm;
4) according to actual bottom pressure variation relation value, carry out to simulating the corresponding analog parameter value of bottom pressure variation relation value
Revise, and presence part is obtained according to the corresponding analog parameter value of simulation bottom pressure variation relation value after correction and connect tomography
The well test analysis parameter value of linear water enchroachment (invasion) oil reservoir, provides foundation for tomography connecting degree, water body understanding.
2. as claimed in claim 1 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:The step 3) in, the presence part connects building for the bottom pressure expression formula of the linear water enchroachment (invasion) oil reservoir producing well of tomography
Vertical process is comprised the following steps:
1. the physical model that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is set;
2. the Mathematical Modeling that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is set up according to physical model;
3. according to the Mathematical Modeling that sets up, the bottom pressure table that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is solved
Reach formula.
3. as claimed in claim 1 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:The step 4) in, according to actual bottom pressure variation relation value, to simulating the corresponding simulation of bottom pressure variation relation value
Parameter value is modified, and obtaining the step of there is the well test analysis parameter value of the linear water enchroachment (invasion) oil reservoir that part connects tomography includes:
Judge to simulate whether bottom pressure variation relation value is made a reservation for less than one with the difference of actual bottom pressure variation relation value
Comparative factor;
If the difference is more than predetermined comparative factor, carry out to simulating the corresponding analog parameter value of bottom pressure variation relation value
Revise, until the difference is less than predetermined comparative factor;
It is there is part to connect the linear of tomography to obtain
The well test analysis parameter value of water enchroachment (invasion) oil reservoir.
4. as claimed in claim 2 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:The step of Mathematical Modeling that there is the linear water enchroachment (invasion) oil reservoir that part connects tomography is set up according to physical model includes:
Set up the transient seepage flow differential equation of the single-phase micro- compressible liquid in twoth area;
The primary condition equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography;
The boundary condition equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography;
The condition of contact equation of the Mathematical Modeling of the given linear water enchroachment (invasion) oil reservoir that there is part connection tomography.
5. as claimed in claim 2 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:According to the Mathematical Modeling that sets up, the bottom pressure expression that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography is solved
Formula is comprised the following steps:
Dimensionless pressure, dimensionless distance and nondimensional time is quoted, nondimensionalization is carried out to the Mathematical Modeling;
Basis partial differential equation, primary condition equation, boundary condition equation and the company for bringing the characteristic of definition into Mathematical Modeling
Conditional equation is connect, zero dimension WELL TEST INTERPRETATION MODEL is obtained;
The zero dimension WELL TEST INTERPRETATION MODEL for obtaining is carried out Laplace transform, the zero dimension well test analysis under pull-type space is obtained
Model;
Zero dimension WELL TEST INTERPRETATION MODEL under pull-type space is solved, the presence part connection tomography under pull-type space is obtained
Linear water enchroachment (invasion) oil reservoir producing well dimensionless bottom pressure expression formula.
6. as claimed in claim 4 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:The described transient seepage flow differential equation is:
I areas:
II areas:
Wherein, η1=k1/φ1μ1Ct1, η2=k2/φ2μ2Ct2Respectively I areas, the piezometric conductivity in two region of II areas, p1、p2Respectively
I areas, II areas pressure, k1、k2Respectively I areas, II areas in-place permeability, φ1、φ2Respectively I areas, II areas porosity, μ1、μ2Point
Not Wei I areas, II areas fluid viscosity, Ct1、Ct2Respectively I areas, II areas stratum system compressibility, a be tomography to inner boundary away from
From t is the time, and x is abscissa.
7. as claimed in claim 4 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:Described primary condition is:
p1(x, 0)=pi
p2(x, 0)=pi
Wherein, piFor original formation pressure;
Described boundary condition is:
p2(∞, t)=pi
In formula, h1For I areas formation thickness, b is oil reservoir width;
Described condition of contact is:
In formula, λ1=k1/μ1, λ2=k2/μ2Respectively I areas, the mobility in II areas, h2For II areas formation thickness, interfaces of the S for tomography
Epidermis.
8. as claimed in claim 5 have the well test analysis method that part connects the linear water enchroachment (invasion) oil reservoir of tomography, it is characterised in that:
The dimensionless pressure is:I areas pressureDimensionless II area pressure
The dimensionless distance isThe nondimensional time is
9. a kind of have the well test analysis device that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and which includes that collecting unit, storage are single
Unit, the first computing unit, the second computing unit, input block and processing unit, it is characterised in that:Store in the memory cell
There is the bottom pressure expression formula that there is the linear water enchroachment (invasion) oil reservoir producing well that part connects tomography:
Wherein,For the dimensionless bottom pressure expression formula under pull-type space, aDFor dimensionless distance, M is mobility ratio, hDFor thickness
Degree ratio, ηDFor piezometric conductivity ratio, S is interface epidermis, and z represents Laplace variable, and e is natural logrithm.
10. as claimed in claim 9 have the well test analysis device that part connects the linear water enchroachment (invasion) oil reservoir of tomography, and its feature exists
In:The processing unit includes:Judging unit, amending unit and acquiring unit;
The judging unit is used for the difference for calculating actual bottom pressure variation relation value and simulation bottom pressure variation relation value,
And whether both differences are judged less than a predetermined comparative factor, and will determine that result is sent to the amending unit;
The amending unit is used for corresponding to simulating bottom pressure variation relation value according to the judged result of the judging unit
Analog parameter value is modified:If both differences are less than predetermined comparative factor, directly will simulation bottom pressure variation relation value
Corresponding analog parameter value is sent to the acquiring unit;If both differences are more than predetermined comparative factor, to analog parameter value
It is modified, analog parameter value is sent to the acquiring unit after both differences are less than predetermined comparative factor;
The acquiring unit is used for obtaining the linear water enchroachment (invasion) oil reservoir for having that part connects tomography according to revised analog parameter value
Well test analysis parameter value.
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