CN105160146B - Water drive characteristic relation chart generation method and device - Google Patents
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Abstract
the invention provides a water drive characteristic relation chart generation method and a water drive characteristic relation chart generation device.
Description
Technical Field
The invention relates to an oil reservoir exploitation engineering method for oil field development, in particular to a method and a device for generating a water drive characteristic relation chart.
Background
The water flooding curve is a characteristic curve of the water flooding oil reservoir, can be used for predicting the development dynamics of the water flooding oil reservoir, can also be used for predicting the recoverable reserve and recovery ratio of the water flooding oil reservoir, and is widely applied to water flooding development effect evaluation of water flooding oil fields at home and abroad. In the prior art, there are many methods for calculating the relationship between the water content and the extraction degree, which are illustrated as follows:
1)Welge H J.A simplified method for computing oil recovery by gas orwater drive[J].Trans.，AIME，1952，195:91-98。
the method is based on Darcy's law and the principle of conservation of material, and derives the relation between the average water saturation and the outlet end water saturation in the one-dimensional linear displacement system:
in the formula:the average water saturation in the reservoir; swThe water saturation at the oil well in the oil reservoir; f. ofwProducing the water content of the oil reservoir; f. ofw' is the derivative of water cut with respect to water saturation.
2) Chapter of childhood. well attitude and reservoir dynamics analysis [ M ] oil industry Press, 1981, P37-41.
The method is based on a type B water drive curve and 25 oil reservoir data at home and abroad, and a relational expression of water content and extraction degree is established:
relation (2) is called as Tongshi water drive characteristic relation, and in the relation: f is the water content of the oil reservoir; r is the oil reservoir production degree; rmAnd the final recovery rate of the oil reservoir. The relationship curve plate of the water content and the extraction degree under different final recovery rates of the oil field can be drawn by using the formula, and the relationship curve plate is shown in figure 1.
3) Chenyuan Qian, derivation of water drive curve relation [ J ] Petroleum, 1985, 6(2): 69-78.
Based on the displacement theory and experimental research results of oil-water two phases, the method approximately deduces the relation between the water content and the extraction degree as follows:
wherein:B＝3mSoi/4.606
in the formula: f is the water content of the oil reservoir; r is the oil reservoir production degree; mu.so,μwRespectively oil viscosity and water viscosity, mPa.s; b iso,BwThe volume coefficients of oil and water are respectively; gamma rayo,γwThe specific gravities of oil and water are kg/m3(ii) a m, n are constants associated with the rock and fluid; swiIrreducible water saturation; soiOil saturation in the original state; sorResidual oil saturation.
The method indicates that when the water content of the oil field reaches a certain value, the water-oil ratio and the extraction degree are in a straight line relation in a semi-log axis system.
The existing curve chart of the relation between the water content and the extraction degree mainly has the following two problems, namely, the water-flooding characteristic curve does not reflect the extraction degree of crude oil in the waterless oil extraction period or is applicable after the water content reaches a certain value, which is contradicted with the water-flooding curve which is the inherent characteristic curve of a water-flooding reservoir; secondly, the coefficient 7.5 or 1.96 in the Tongshi water drive characteristic relational expression (2) is artificially modified into other constants so as to meet the actual water drive rule of a target research area, and the theoretical property and the universality are lacked; and thirdly, more empirical values or approximate values are considered in the theoretical derivation process of the water-flooding relational expression, the fitting degree of the actual oil field is poor, and the water-flooding development characteristics and effects of the oil field cannot be reasonably analyzed.
Disclosure of Invention
The invention provides a method and a device for generating a water drive characteristic relation chart, which are used for drawing actual production data of an oil field on a theoretical chart for comparison so as to analyze the water drive development effect.
In order to achieve the above object, an embodiment of the present invention provides a method for generating a water-drive feature relationship chart, where the method for generating a water-drive feature relationship chart includes:
obtaining the oil viscosity muoWater viscosity. mu.,. mu.wWater content f of produced oil in oil reservoirwResidual oil saturation SorIrreducible water saturation SwiAnd oil saturation S in the original stateoi；
According to the oil viscosity muoWater viscosity. mu.,. mu.wAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relation of (1):
obtaining the outlet end water saturation S according to Buckley-Leverett water drive substitution theory and Welge equationweAnd average water saturationExpression (c):
wherein,
for the water content f of the oil reservoir produced fluidwCarrying out differential operation to obtain a differential equation:
solving according to the formulas (1) to (4) to obtain a general solution formula of the relation between the water content of the produced fluid of the oil reservoir and the extraction degree:
calculating a relation value of the water content of the produced fluid of the oil reservoir and the extraction degree according to the general solution formula, and drawing a water drive characteristic relation chart according to the relation value;
wherein S isweFor the outlet end water saturation, the constant C has the expression:
in one embodiment, μ is based on the oil viscosityoWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwIncludes: when the viscosity of underground oil water is between 1 and 10, according to the viscosity mu of the oiloWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relational expression (c) of (c).
In one embodiment, the outlet end water saturation S is obtained according to Buckley-Leverett water drive theory and Welge equationwAnd average water saturationIncludes: under the condition of non-piston type water flooding, the water saturation S of the outlet end is obtained according to Buckley-Leverett water flooding theory and Welge equationwAnd average water saturation.
In one embodiment, the average water saturation is calculated based on the principle of conservation of mass
In order to achieve the above object, an embodiment of the present invention provides a water-drive feature relationship chart generating apparatus, where the water-drive feature relationship chart generating apparatus includes:
a parameter obtaining unit for obtaining the oil viscosity muoWater viscosity. mu.,. mu.wWater content f of produced oil in oil reservoirwResidual oil saturation SorIrreducible water saturation SwiOil reservoir production degree R and oil saturation S in original stateoi；
A water content relation establishing unit for establishing a relation according to the oil viscosity muoWater viscosity. mu.,. mu.wAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relation of (1):
a saturation calculating unit for calculating saturation according to Buckley-Leverett water drive theoryWelge equation to obtain outlet end water saturation SweAnd average water saturationExpression (c):
wherein,
a differential operation unit for calculating the water content f of the produced fluid of the oil reservoirwCarrying out differential operation to obtain a differential equation:
and the general solution formula solving unit is used for solving a general solution formula of the relation between the water content of the oil reservoir produced fluid and the extraction degree according to the formulas (1) to (4):
the plate drawing unit is used for calculating a relation value between the water content of produced fluid of the oil reservoir and the extraction degree according to the general solution formula and drawing a water drive characteristic relation plate according to the relation value;
wherein S isweFor the outlet end water saturation, the constant C has the expression:
in an embodiment, the moisture content relational expression establishing unit is specifically configured to: the viscosity of underground oil and water is between1-10 times the viscosity of the oiloWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relational expression (c) of (c).
In an embodiment, the saturation calculating unit is specifically configured to: under the condition of non-piston type water flooding, the water saturation S of the outlet end is obtained according to Buckley-Leverett water flooding theory and Welge equationwAnd average water saturationIs described in (1).
In an embodiment, the saturation calculation unit is further configured to calculate the average water saturation based on the principle of conservation of mass
The invention utilizes the differential equation theory to deduce the analytical formula of the water content and the extraction degree, and reduces the errors brought by the empirical formula and the approximate value. According to the actual oil field phase permeability curve data, different initial boundary conditions are determined, and therefore a water drive characteristic chart of the oil field is determined by using a differential equation general solution.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic diagram of a conventional Tong's water flooding characteristic curve chart and a comparison of actual oil field data;
FIG. 2 is a flow chart of a method for generating a water flooding characteristic relationship chart according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a water flooding characteristic curve chart in comparison with actual oilfield data according to an embodiment of the present invention;
fig. 4 is a schematic structural diagram of a water-drive characteristic relationship chart generation apparatus according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The water flooding curve is a characteristic curve of the water flooding oil reservoir, can be used for predicting the development dynamics of the water flooding oil reservoir, can also be used for predicting the recoverable reserve and recovery ratio of the water flooding oil reservoir, and is widely applied to water flooding development effect evaluation of water flooding oil fields at home and abroad. In the process of developing an oil field by injecting water or natural bottom water, a water body continuously pushes crude oil to the bottom of the well, the oil saturation in an oil reservoir is reduced along with the increase of the water saturation, when the water saturation reaches a certain value, the water saturation at an oil well is greater than the irreducible water saturation, the oil well encounters water, the water content begins to increase, and the water content and the water saturation form a certain relational expression. According to the principle of conservation of mass and the oil field phase permeability curve data, the theoretical relation and the curve plate of the water content and the crude oil extraction degree can be obtained, the actual production data of the oil field is drawn to the theoretical plate to be matched, so that the development effect of the oil field is analyzed and future development and adjustment are guided, and therefore only a reasonable water drive characteristic curve relation and a reasonable water drive characteristic curve plate are established, and the oil field can be better analyzed and guided to be developed efficiently.
Therefore, an embodiment of the present invention provides a method for generating a water-flooding feature relationship chart, where as shown in fig. 2, the method for generating a water-flooding feature relationship chart includes:
s201: obtaining the oil viscosity muoWater viscosity. mu.,. mu.wWater content f of produced oil in oil reservoirwResidual oil saturation SorIrreducible water saturation SwiAnd oil saturation S in the original stateoi；
S202: according to the oil viscosity muoWater viscosity. mu.,. mu.wAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relation of (1):
s203: obtaining the outlet end water saturation S according to Buckley-Leverett water drive substitution theory and Welge equationweAnd average water saturationExpression (c):
wherein,
s204: for the water content f of the oil reservoir produced fluidwCarrying out differential operation to obtain a differential equation:
s205: solving according to the formulas (1) to (4) to obtain a general solution formula of the relation between the water content of the produced fluid of the oil reservoir and the extraction degree:
s206: calculating a relation value of the water content of the produced fluid of the oil reservoir and the extraction degree according to the general solution formula, and drawing a water drive characteristic relation chart according to the relation value;
wherein S isweFor the outlet end water saturation, the constant C has the expression:
in the above equation, the given original oil saturation, irreducible water saturation, residual oil saturation and different final crude oil recovery are substituted into the general solution formula (5), so as to calculate a series of relation values of water content and extraction degree under different final recovery, and draw a relation curve diagram, i.e. a novel water drive characteristic curve chart, as shown in fig. 3.
In step S202, according to the experimental theoretical research of Effiros, establishing the water content f of the oil reservoir output liquidwThe condition to be satisfied by the relation (1) of (a) is: the viscosity ratio of underground oil to water is 1-10.
In step S202, the outlet end water saturation S is obtained according to Buckley-Leverett water drive substitution theory and Welge equationwAnd average water saturationThe expression of (1) is generally carried out under the condition of non-piston type water flooding.
In one embodiment, the average water saturation is calculatedMay be based on the principle of conservation of mass (i.e., the principle of mass balance).
The water drive characteristic relationship chart generation method is described below by combining specific examples:
according to the experimental theoretical research of Effiros, when the viscosity ratio of underground oil-water is between 1 and 10, the water content of the outlet end of the oil-water two-phase flow is as follows:
under the condition of non-piston type water flooding, the expressions of outlet water saturation and average water saturation are S according to Buckley-Leverett water flooding theory and Welge equationweWater saturation at outlet
Existing (2)
The average water saturation in the oil reservoir can be expressed by the principle of material balance
Derived from differential equations at the same time
The general solution formula for solving the relationship between the water content and the extraction degree of the produced fluid of the oil reservoir through the simultaneous method of the steps (4) to (7) is
Wherein the constant C is related to the ultimate water content and the ultimate recovery ratio, and when the ultimate water content is 0.98, the expression of C is
In the equation (6), the original oil saturation, the irreducible water saturation, the residual oil saturation and the different final oil recovery rates are given and substituted into the general solution obtained in the patent, so that a series of relation values of the water content and the extraction degree under the different final oil recovery rates are obtained through calculation, and a relation curve diagram is drawn, so that the novel water flooding characteristic curve plate is obtained, as shown in fig. 1.
The method is based on the research result of the former experiment and the Welge average water saturation equation, utilizes the differential equation theory to deduce a general solution formula of the water content and the extraction degree, and combines the actual oil field phase permeability and production data to draw theoretical water flooding characteristic curves which accord with different oil fields. Compared with the Tong's curve (as shown in figure 2) of an actual oil field data set, the theoretical plate (figure 1) created at this time can show that the Tong's curve cannot explain later-stage development data points of the oil field and can not reasonably predict the final extraction degree of the oil field (the predicted recovery rate is more than 60%), and the plate (figure 1) drawn by the method not only has stronger theoretical performance, but also can better explain the water-flooding development characteristics of the oil field and the predicted final water-flooding recovery rate (the predicted recovery rate is 45% and is close to the calibrated recovery rate of the oil reservoir of 43%).
It can be seen from the two figures that as the oil field is exploited, the relationship between the water content and the extraction degree is biased towards the horizontal axis (extraction degree), and the water drive efficiency of the oil field is better and better. However, the Buckley-Leverett water flooding theory shows that when the oil deposit homogeneity is good enough, the extraction degree in the anhydrous oil recovery period is high, and the Tong's theory plate shows that the value in the anhydrous oil recovery period does not appear in the theoretical curve, and the Tong's curve cannot explain the change of later-stage development data points of the oil field; the chart (figure 1) of the invention can be combined with actual data of the oil field to draw an actual oil field water-flooding characteristic curve considering the anhydrous oil extraction period, and can better analyze the oil field development effect and the development index prediction.
An embodiment of the present invention provides a water-drive feature relationship chart generation apparatus, and as shown in fig. 4, the water-drive feature relationship chart generation apparatus includes: the device comprises a parameter acquisition unit 401, a water content relational expression establishing unit 402, a saturation calculation unit 403, a differential operation unit 404, a general solution formula solving unit 405 and a chart drawing unit 406.
The parameter obtaining unit 401 is used for obtaining the oil viscosity muoWater viscosity. mu.,. mu.wWater content f of produced oil in oil reservoirwResidual oil saturation SorIrreducible water saturation SwiOil reservoir production degree R and oil saturation S in original stateoi；
The water content relation establishing unit 402 is used for establishing the oil viscosity mu according to the oil viscosityoWater viscosity. mu.,. mu.wAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relation of (1):
the saturation calculation unit 403 is used for obtaining the outlet end water saturation S according to Buckley-Leverett water drive substitution theory and Welge equationweAnd average water saturationExpression (c):
wherein,
the differential operation unit 404 is used for calculating the water content f of the produced fluid of the oil reservoirwCarrying out differential operation to obtain a differential equation:
the general solution formula solving unit 405 is configured to solve the general solution formula of the relationship between the water content of the oil reservoir produced fluid and the extraction degree according to the formulas (1) to (4):
the plate drawing unit 406 is used for calculating a relation value between the water content of the produced fluid of the oil reservoir and the extraction degree according to the general solution formula, and drawing a water drive characteristic relation plate according to the relation value;
wherein S isweFor the outlet end water saturation, the constant C has the expression:
in an embodiment, the water cut relation establishing unit 402 is specifically configured to: when the viscosity of underground oil water is between 1 and 10, according to the viscosity mu of the oiloWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relational expression (c) of (c).
In an embodiment, the saturation calculating unit 403 is specifically configured to: under the condition of non-piston type water flooding, the water saturation S of the outlet end is obtained according to Buckley-Leverett water flooding theory and Welge equationwAnd average water saturationIs described in (1).
In an embodiment, the saturation calculation unit 403 is further configured to calculate the average water saturation according to the principle of conservation of mass
Aiming at the problems existing in the prior derivation and application of the relational expression of the water content and the extraction degree, the method is based on the prior experimental result, namely the water content and the water saturation at the outlet end of the oil reservoir meet a certain relational expression; meanwhile, a differential equation of the water content with respect to the extraction degree is established by combining a mass conservation principle and a Welge average water saturation equation, and a general solution relational expression of the extraction degree and the water content is obtained by solving a formula by using the differential equation, so that a corresponding water drive characteristic curve chart is drawn according to actual phase permeation data. And drawing the actual production data of the oil field on a theoretical plate for comparison so as to analyze the water drive development effect.
The invention utilizes the differential equation theory to deduce the analytical formula of the water content and the extraction degree, and reduces the errors brought by the empirical formula and the approximate value. According to the actual oil field phase permeability curve data, different initial boundary conditions are determined, and therefore a water drive characteristic chart of the oil field is determined by using a differential equation general solution.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The principle and the implementation mode of the invention are explained by applying specific embodiments in the invention, and the description of the embodiments is only used for helping to understand the method and the core idea of the invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, there may be variations in the specific embodiments and the application scope, and in summary, the content of the present specification should not be construed as a limitation to the present invention.
Claims (8)
1. A water drive characteristic relation chart generation method is characterized by comprising the following steps:
obtaining the oil viscosity muoWater viscosity. mu.,. mu.wWater content f of produced oil in oil reservoirwResidual oil saturation SorIrreducible water saturation SwiAnd oil saturation S in the original stateoi；
According to the oil viscosity muoWater viscosity. mu.,. mu.wAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relation of (1):
obtaining the outlet end water saturation S according to Buckley-Leverett water drive substitution theory and Welge equationweAnd average water saturationExpression (c):
wherein,
for the water content f of the oil reservoir produced fluidwCarrying out differential operation to obtain a differential equation:
solving according to the formulas (1) to (4) to obtain a general solution formula of the relation between the water content of the produced fluid of the oil reservoir and the extraction degree:
calculating a relation value of the water content of the produced fluid of the oil reservoir and the extraction degree according to the general solution formula, drawing a water drive characteristic relation chart according to the relation value, and analyzing a water drive rule according to the water drive characteristic relation chart to predict the final water drive recovery ratio of the oil field;
wherein S isweFor the outlet end water saturation, the constant C has the expression:
wherein R represents the degree of reservoir production.
2. The method of claim 1, wherein the method comprises generating the oil viscosity μoWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwIncludes: when the viscosity of underground oil water is between 1 and 10, according to the viscosity mu of the oiloWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relational expression (c) of (c).
3. The method for generating a water drive feature relationship chart according to claim 1, wherein the outlet end water saturation S is obtained according to Buckley-Leverett water drive theory and Welge equationwAnd average water saturationIncludes: under the condition of non-piston type water flooding, the water saturation S of the outlet end is obtained according to Buckley-Leverett water flooding theory and Welge equationwAnd average water saturation.
4. The method of claim 1, wherein the average water saturation is calculated based on the principle of conservation of mass
5. A water-drive characteristic relation plate generating device is characterized by comprising:
a parameter obtaining unit for obtaining the oil viscosity muoWater viscosity. mu.,. mu.wOil reservoir produced fluidWater rate fwResidual oil saturation SorIrreducible water saturation SwiOil reservoir production degree R and oil saturation S in original stateoi；
A water content relation establishing unit for establishing a relation according to the oil viscosity muoWater viscosity. mu.,. mu.wAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relation of (1):
a saturation calculating unit for calculating the outlet water saturation S according to Buckley-Leverett water drive theory and Welge equationweAnd average water saturationExpression (c):
wherein,
a differential operation unit for calculating the water content f of the produced fluid of the oil reservoirwCarrying out differential operation to obtain a differential equation:
and the general solution formula solving unit is used for solving a general solution formula of the relation between the water content of the oil reservoir produced fluid and the extraction degree according to the formulas (1) to (4):
the plate drawing unit is used for calculating a relation value between the water content of produced fluid of the oil reservoir and the extraction degree according to the general solution formula and drawing a water drive characteristic relation plate according to the relation value;
wherein S isweFor the outlet end water saturation, the constant C has the expression:
wherein R represents the degree of reservoir production.
6. The water-drive feature relationship chart generation device according to claim 5, wherein the water content relationship formula establishing unit is specifically configured to: when the viscosity of underground oil water is between 1 and 10, according to the viscosity mu of the oiloWater viscosity. mu.,. mu.wOutlet end water saturation SweAnd residual oil saturation SorEstablishing the water content f of the produced liquid of the oil reservoirwThe relational expression (c) of (c).
7. The water-drive feature relationship plate generation device according to claim 5, wherein the saturation calculation unit is specifically configured to: under the condition of non-piston type water flooding, the water saturation S of the outlet end is obtained according to Buckley-Leverett water flooding theory and Welge equationwAnd average water saturationIs described in (1).
8. The water drive feature relationship chart generation apparatus as claimed in claim 5, wherein the saturation calculation unit is further configured to calculate the average water saturation according to the principle of conservation of mass
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