CN106909757B - Method for determining reasonable pressure level of low-permeability oil reservoir advanced water injection stratum - Google Patents
Method for determining reasonable pressure level of low-permeability oil reservoir advanced water injection stratum Download PDFInfo
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Abstract
The invention discloses a method for determining the reasonable pressure level of an advanced water injection stratum of a low-permeability oil reservoir, which is characterized by comprising the following steps of: 1) determining parameters of an oil well and a water injection well required by calculation of the reasonable pressure level of the advanced water injection stratum of the low-permeability oil reservoir; 2) establishing a low permeability reservoir advanced water injection oil well productivity calculation model; 3) establishing a reasonable pressure level calculation model of an anti-nine-point well pattern advanced water injection stratum; 4) and solving the reasonable pressure level calculation model of the low-permeability oil reservoir reverse nine-point well pattern advanced water injection stratum. The method can realize accurate quantitative evaluation of the reasonable pressure level of the advanced water injection stratum of the low-permeability reservoir reverse nine-point well pattern, has strong operability, and can effectively guide the development practice of the advanced water injection oil field.
Description
Technical Field
The invention relates to a method for determining the reasonable pressure level of an advanced water injection stratum of a low-permeability oil reservoir, in particular to a method for determining the reasonable pressure level of an inverted nine-point well pattern advanced water injection stratum of the low-permeability oil reservoir.
Background
Advanced water injection is widely accepted as an effective development mode of low-permeability oil reservoirs, and after the advanced water injection is finished, the determination of the reasonable pressure level of the stratum is the key for ensuring the yield of the oil field. If the oil well is put into production, the stratum pressure level is higher, although the oil well yield is high in the initial stage, the stratum pressure is reduced because the water injection pressure difference is small and the water injection quantity is low and the pressure balance requirement cannot be met. In the normal production and steady seepage stage of the oil field, a balance pressure value must exist at the oil drainage radius of the oil well, so that the water injection quantity and the produced quantity of the oil reservoir are basically balanced, and the value is a reasonable pressure level. When the pressure is put into production at the pressure level, the pressure distribution of the oil-water well can be quickly stabilized, and the yield is gradually reduced. There is no theoretical method of determining the level of formation pressure maintenance to support.
Disclosure of Invention
Aiming at the problems, the invention aims to provide a quantitative and strong-operability method for determining the reasonable pressure level of the low-permeability reservoir advanced water injection stratum, which can take the starting pressure gradient and the medium deformation phenomenon of the low-permeability reservoir into consideration to obtain the reasonable pressure levels of the stratum under different pressure coefficients and different reservoir depths.
In order to achieve the purpose, the invention adopts the following technical scheme: a method for determining the reasonable pressure level of a low-permeability oil reservoir advanced water injection stratum is characterized by comprising the following steps: 1) determining parameters of an oil well and a water injection well required by calculation of the reasonable pressure level of the advanced water injection stratum of the low-permeability oil reservoir; 2) establishing a low permeability reservoir advanced water injection oil well productivity calculation model; 3) establishing a reasonable pressure level calculation model of an anti-nine-point well pattern advanced water injection stratum; 4) and solving the reasonable pressure level calculation model of the low-permeability oil reservoir reverse nine-point well pattern advanced water injection stratum.
In the step 1), the parameters of the oil well and the water injection well specifically include: obtaining the effective thickness of an oil layer and the effective thickness of a water layer by a logging method; the oil layer permeability, the water phase permeability, the oil well starting pressure gradient, the water well starting pressure gradient, the crude oil viscosity, the water viscosity and the medium deformation phenomenon characterization factors are measured through an indoor test; the original formation pressure, the flow pressure at the bottom of the oil well, the supply edge pressure of the oil drainage area and the injection pressure of the water well are measured by a pressure gauge; obtaining the skin coefficient by a well testing interpretation method; and taking the radius of the drainage area which is half of the well spacing.
In the step 2), the establishment process of the low permeability reservoir advanced water injection oil well productivity calculation model is as follows:
① differential calculation model of oil well production:
taking the starting pressure gradient and medium deformation factors into consideration, correcting a yield calculation formula, and calculating the yield of any circular section of the stratum by using the corrected yield calculation formula, so that a differential calculation model of the oil well yield is obtained as follows:
in the formula, QoThe oil well production rate; pi is the circumference ratio; r is the radial distance between the formation and the well; h isoThe thickness of the oil layer; koIs the oil layer permeability, muoIs the crude oil viscosity; p is a radical ofiIs the original formation pressure; alpha is alphakAnd alphaμCharacterizing a factor for a medium deformation phenomenon; goTo initiate a pressure gradient; e is approximately equal to 2.718, and is the base number of natural logarithm; p is the formation pressure;
the variables are separated from formula (1):
② according to the radius change of the oil well from the bottom of the oil well to the oil drainage area and the change of the formation pressure, the simultaneous integration of two sides of the formula (2) can be obtained:
in the formula, reIs the radius of the drainage area; r iswThe radius of the oil well is taken according to the actual production string, and is generally 0.1 m; p is a radical ofeSupplying edge pressure to the drainage area; p is a radical ofwfThe bottom flowing pressure of the oil well;
due to the fact thatThe formula (3) can be modified:
the formula (4) can be arranged:
for the exponential term in equation (5), we develop it according to the third order taylor equation:
the following can be obtained by combining formula (5) and formula (6):
the capacity calculation model of the available oil well in the finishing formula (7) is as follows:
③ the skin coefficient of the oil well is taken into consideration, and the productivity calculation model formula of the oil well is corrected to obtain:
wherein S is the epidermal coefficient.
In the step 3), the establishment process of the inverse nine-point well pattern advanced water injection stratum reasonable pressure level calculation model is as follows:
① calculating water injection rate Q of inverse nine-point well pattern according to water injection rate formula of water wellw：
In the formula, FbThe production ratio of the corner well to the side well; p is a radical ofiwfInjecting pressure into the well; p is a radical ofRLeading water injection to be at a reasonable pressure level; kwIs the water phase permeability; h iswIs the effective thickness of the water layer; gwInitiating a pressure gradient for the injection well; mu.swIs the viscosity of water; s is the epidermis coefficient;
② according to the basic conditions of injection-production balance of the inverse nine-point well pattern, the relation between the oil well productivity and the water well injection quantity is obtained as follows:
(1-β)Qw＝3Qo(11)
in the formula, beta is the water injection overflow coefficient;
③, establishing a low permeability reservoir reverse nine-point well pattern advanced water injection stratum reasonable pressure level calculation model:
a reasonable pressure level calculation model of the advanced water injection stratum can be obtained by substituting the formula (9) and the formula (10) into the formula (11):
in the step 4), a programming method is adopted to solve the low permeability reservoir inverse nine-point well pattern advanced water injection stratum reasonable pressure level calculation model.
By adopting the technical scheme, the invention has the following advantages: the method for determining the reasonable pressure level of the low-permeability oil reservoir advanced water injection stratum comprises the steps of taking factors such as starting pressure gradient, medium deformation and skin coefficient into consideration, establishing a quantitative representation low-permeability oil reservoir advanced water injection oil well productivity calculation model, establishing an anti-nine-point well pattern advanced water injection stratum pressure maintaining level model according to injection-production balance basic conditions of the anti-nine-point well pattern and taking the water injection overflow coefficient into consideration, solving through a programming element method, and achieving accurate and quantitative evaluation of the reasonable pressure level of the anti-nine-point well pattern advanced water injection stratum of the low-permeability oil reservoir.
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FIG. 1 is a schematic overall flow diagram of the present invention.
Detailed Description
The invention is described in detail below with reference to the figures and examples.
As shown in FIG. 1, the invention provides a method for determining the reasonable pressure level of an advanced water injection stratum of a low-permeability reservoir, which comprises the following steps:
1) determining parameters of an oil well and a water injection well required by calculating the reasonable pressure level of the advanced water injection stratum of the low-permeability oil reservoir, wherein the parameters specifically comprise effective thickness of an oil layer, effective thickness of a water layer, permeability of the oil layer, water phase permeability, starting pressure gradient of the oil well, starting pressure gradient of a water well, viscosity of crude oil, viscosity of water, original stratum pressure, bottom flowing pressure of the oil well, supply edge pressure of an oil drainage area, injection pressure of the water well, radius of a drainage area, radius of the oil well, skin coefficient and medium deformation phenomenon representation factors.
Wherein, the effective thickness of the oil layer and the effective thickness of the water layer can be obtained by a well logging method; the oil layer permeability, the water phase permeability, the oil well starting pressure gradient, the water well starting pressure gradient, the crude oil viscosity, the water viscosity and the medium deformation phenomenon characterization factors are measured by an indoor test; the original formation pressure, the supply edge pressure of an oil drainage area, the flow pressure at the bottom of an oil well and the injection pressure of a water well are measured by a pressure gauge; the radius of the oil drainage area is generally half of the well distance, and the radius of the oil well can be taken as a value according to an actual production string and is generally 0.1 m; the skin factor can be obtained by a well testing interpretation method.
2) Establishing a low permeability reservoir advanced water injection oil well productivity calculation model:
for low-permeability oil reservoirs, after water is injected in advance for several months, the oil well is driven to produce, and a stable displacement pressure system is established between injection wells and extraction wells to form a stable seepage condition; however, the most significant characteristic of the low permeability reservoir is that starting pressure gradient and medium deformation phenomena exist, so the starting pressure gradient, medium deformation and other factors need to be considered when calculating the productivity of the low permeability reservoir advanced water injection oil well, and the specific calculation process is as follows:
① differential calculation model of oil well production
Taking the starting pressure gradient and medium deformation factors into consideration, correcting a yield calculation formula, and calculating the yield of any circular section of the stratum by using the corrected yield calculation formula, so that a differential calculation model of the oil well yield is obtained as follows:
in the formula, QoThe oil well production rate; pi is the circumference ratio; r is the radial distance between the formation and the well; h isoThe thickness of the oil layer; koIs the oil layer permeability; mu.soIs the crude oil viscosity; p is a radical ofiIs the original formation pressure; alpha is alphakAnd alphaμCharacterizing a factor for a medium deformation phenomenon; goTo initiate a pressure gradient; e is approximately equal to 2.718, and is the base number of natural logarithm; and p is the formation pressure.
The variables are separated from formula (1):
② according to the radius change of the oil well from the bottom of the oil well to the oil drainage area and the change of the formation pressure, the simultaneous integration of two sides of the formula (2) can be obtained:
in the formula, reIs the radius of the drainage area; r iswTo the radius of the well, according to the actual production tubingThe column value is generally 0.1 m; p is a radical ofeSupplying edge pressure to the drainage area; p is a radical ofwfIs the flow pressure at the bottom of the oil well.
Due to the fact that
The formula (3) can be modified:
the formula (4) can be arranged:
for the exponential term in equation (5), we develop it according to the third order taylor equation:
the following can be obtained by combining formula (5) and formula (6):
the capacity calculation model of the available oil well in the finishing formula (7) is as follows:
③ the skin coefficient of the oil well is taken into consideration, and the productivity calculation model formula of the oil well is corrected to obtain:
wherein S is the epidermal coefficient.
3) Establishing a reasonable pressure level calculation model of an anti-nine-point well pattern advanced water injection stratum:
① calculating water injection rate Q of inverse nine-point well pattern according to water injection rate formula of water wellw：
In the formula, FbThe production ratio of the corner well to the side well; p is a radical ofiwfInjecting pressure into the well; p is a radical ofRLeading water injection to be at a reasonable pressure level; kwIs the water phase permeability; h iswIs the effective thickness of the water layer; gwInitiating a pressure gradient for the injection well; mu.swIs the viscosity of water; s is the epidermis coefficient.
② according to the basic conditions of injection-production balance of the inverse nine-point well pattern, the relation between the oil well productivity and the water well injection quantity is obtained as follows:
(1-β)Qw＝3Qo(11)
wherein beta is the water injection overflow coefficient.
③, establishing a low permeability reservoir reverse nine-point well pattern advanced water injection stratum reasonable pressure level calculation model:
a reasonable pressure level calculation model of the advanced water injection stratum can be obtained by substituting the formula (9) and the formula (10) into the formula (11):
4) solving a reasonable pressure level calculation model of a low permeability oil reservoir reverse nine-point well pattern advanced water injection stratum:
the seepage of the low-permeability reservoir belongs to low-speed non-Darcy flow, and starting pressure gradient and stratum permeability are in a nonlinear relation under different reservoir depths, medium deformation and stratum pressure are also in a nonlinear relation, and the analytic expression for solving the reasonable pressure level of the stratum is more difficult, so that the reasonable pressure level calculation model is based on the reasonable pressure level, and the analytic expression is analyzed and solved by applying a programming method to solve the reasonable pressure level of the stratum under different pressure coefficients and different reservoir depths.
The present invention has been described with reference to the above embodiments, and the structure, arrangement, and connection of the respective members may be changed. On the basis of the technical scheme of the invention, the improvement or equivalent transformation of the individual components according to the principle of the invention is not excluded from the protection scope of the invention.
Claims (3)
1. A method for determining the reasonable pressure level of a low-permeability oil reservoir advanced water injection stratum is characterized by comprising the following steps:
1) determining parameters of an oil well and a water injection well required by calculation of the reasonable pressure level of the advanced water injection stratum of the low-permeability oil reservoir;
2) establishing a low permeability oil reservoir advanced water injection oil well productivity calculation model, wherein the establishment process comprises the following steps:
① differential calculation model of oil well production:
taking the starting pressure gradient and medium deformation factors into consideration, correcting a yield calculation formula, and calculating the yield of any circular section of the stratum by using the corrected yield calculation formula, so that a differential calculation model of the oil well yield is obtained as follows:
in the formula, QoThe oil well production rate; pi is the circumference ratio; r is the radial distance between the formation and the well; h isoThe thickness of the oil layer; koIs the oil layer permeability, muoIs the crude oil viscosity; p is a radical ofiIs the original formation pressure; alpha is alphakAnd alphaμCharacterizing a factor for a medium deformation phenomenon; goTo initiate a pressure gradient; e is approximately equal to 2.718, and is the base number of natural logarithm; p is the formation pressure;
the variables are separated from formula (1):
② according to the radius change of the oil well from the bottom of the oil well to the oil drainage area and the change of the formation pressure, the simultaneous integration of two sides of the formula (2) can be obtained:
in the formula, reIs the radius of the drainage area; r iswIs the well radius; p is a radical ofeSupplying edge pressure to the drainage area; p is a radical ofwfThe bottom flowing pressure of the oil well;
due to the fact that
The formula (3) can be modified:
the formula (4) can be arranged:
for the exponential term in equation (5), we develop it according to the third order taylor equation:
the following can be obtained by combining formula (5) and formula (6):
the capacity calculation model of the available oil well in the finishing formula (7) is as follows:
③ the skin coefficient of the oil well is taken into consideration, and the productivity calculation model formula of the oil well is corrected to obtain:
wherein S is the epidermal coefficient;
3) a reasonable pressure level calculation model of an anti-nine-point well pattern advanced water injection stratum is established, and the establishment process is as follows:
① calculating water injection rate Q of inverse nine-point well pattern according to water injection rate formula of water wellw：
In the formula, FbThe production ratio of the corner well to the side well; p is a radical ofiwfInjecting pressure into the well; p is a radical ofRLeading water injection to be at a reasonable pressure level; kwIs the water phase permeability; h iswIs the effective thickness of the water layer; gwInitiating a pressure gradient for the injection well; mu.swIs the viscosity of water; s is the epidermis coefficient;
② according to the basic conditions of injection-production balance of the inverse nine-point well pattern, the relation between the oil well productivity and the water well injection quantity is obtained as follows:
(1-β)Qw＝3Qo(11)
in the formula, beta is the water injection overflow coefficient;
③, establishing a low permeability reservoir reverse nine-point well pattern advanced water injection stratum reasonable pressure level calculation model:
a reasonable pressure level calculation model of the advanced water injection stratum can be obtained by substituting the formula (9) and the formula (10) into the formula (11):
4) and solving the reasonable pressure level calculation model of the low-permeability oil reservoir reverse nine-point well pattern advanced water injection stratum.
2. The method for determining the reasonable pressure level of the advanced water injection formation of the low permeability reservoir as claimed in claim 1, wherein in the step 1), the parameters of the oil well and the water injection well specifically comprise: obtaining the effective thickness of an oil layer and the effective thickness of a water layer by a logging method; the oil layer permeability, the water phase permeability, the oil well starting pressure gradient, the water well starting pressure gradient, the crude oil viscosity, the water viscosity and the medium deformation phenomenon characterization factors are measured through an indoor test; the original formation pressure, the flow pressure at the bottom of the oil well, the supply edge pressure of the oil drainage area and the injection pressure of the water well are measured by a pressure gauge; obtaining the skin coefficient by a well testing interpretation method; and taking the radius of the drainage area which is half of the well spacing.
3. The method for determining the reasonable pressure level of the advanced water injection stratum of the low permeability reservoir as claimed in claim 1, wherein: in the step 4), a programming method is adopted to solve the low permeability reservoir inverse nine-point well pattern advanced water injection stratum reasonable pressure level calculation model.
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| CN111798328A (en) * | 2019-03-22 | 2020-10-20 | 中国石油化工股份有限公司 | Method for calculating five-point well pattern instantaneous yield of low-permeability oil reservoir |
| CN110984970B (en) * | 2019-10-09 | 2023-03-24 | 中国海洋石油集团有限公司 | Method for determining starting pressure gradient by utilizing formation test |
| CN111400972B (en) * | 2020-03-24 | 2022-02-15 | 西南石油大学 | Semi-closed fault block oil reservoir productivity analysis method |
| CN111520136B (en) * | 2020-06-29 | 2021-01-26 | 东北石油大学 | Method for calculating pressure behind blanking plug nozzle by considering water injection starting pressure gradient |
| CN112412411B (en) * | 2020-11-20 | 2022-11-01 | 中海石油(中国)有限公司 | Fracturing well multi-well system well testing analysis method and device and storage medium |
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