CN113107475A - Single-well dynamic reserve and recoverable reserve determination method and system for gas drive reservoir - Google Patents
Single-well dynamic reserve and recoverable reserve determination method and system for gas drive reservoir Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E21—EARTH DRILLING; MINING
- E21B—EARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B49/00—Testing the nature of borehole walls; Formation testing; Methods or apparatus for obtaining samples of soil or well fluids, specially adapted to earth drilling or wells
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- E—FIXED CONSTRUCTIONS
- E21—EARTH DRILLING; MINING
- E21B—EARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B43/00—Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
- E21B43/16—Enhanced recovery methods for obtaining hydrocarbons
- E21B43/166—Injecting a gaseous medium; Injecting a gaseous medium and a liquid medium
- E21B43/168—Injecting a gaseous medium
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
- Y02A10/00—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE at coastal zones; at river basins
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Abstract
The invention discloses a method and a system for determining single-well dynamic reserves and recoverable reserves of a gas drive reservoir. The method comprises the following steps: calculating the gas saturation of the gas drive reservoir according to a substance balance principle; establishing a relation between the relative permeability ratio of the oil-gas two phases and the flow rate of the oil-gas two phases according to Darcy's law; fitting a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation based on the oil-gas two-phase seepage rule; and based on the established relationship and the gas saturation, establishing a gas drive characteristic curve relational expression between the produced gas-oil ratio and the accumulated produced oil under the condition of constant seepage of the gas drive reservoir, and calculating the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir based on the binomial relation and the binomial regression coefficient of the gas drive characteristic curve relational expression. The method can improve the calculation efficiency and the calculation precision of the single-well dynamic reserves and the recoverable reserves of the gas drive oil reservoirs.
Description
Technical Field
The invention relates to the field of oil reservoir engineering, in particular to a method and a system for determining single-well dynamic reserves and recoverable reserves of a gas drive oil reservoir.
Background
The basis for the derivation and establishment of the conventional gas flooding characteristic curve is that the oil-gas two-phase relative permeability ratio and the gas saturation are considered to be in a linear relation in a semi-logarithmic coordinate, and for the relation between the actual oil-gas two-phase relative permeability ratio and the gas saturation, the linear relation is met only when the gas saturation is in a middle stage. Therefore, the working efficiency and the calculation accuracy of the conventional calculation method for the single-well dynamic reserves and the recoverable reserves of the gas drive reservoirs need to be improved.
Disclosure of Invention
Therefore, it is necessary to provide a method and a system for determining the single-well dynamic reserve and recoverable reserve of a gas drive reservoir, so as to improve the calculation efficiency and calculation accuracy of the single-well dynamic reserve and recoverable reserve of the gas drive reservoir.
In order to achieve the purpose, the invention provides the following scheme:
a method for determining single-well dynamic reserves and recoverable reserves of a gas drive reservoir comprises the following steps:
calculating the gas saturation of the gas drive reservoir according to a substance balance principle;
establishing a relation between the relative permeability ratio of the oil-gas two phases and the flow rate of the oil-gas two phases according to Darcy's law;
fitting a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation based on the oil-gas two-phase seepage rule;
establishing a gas drive characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under a gas drive oil reservoir constant seepage condition according to the relation between the underground flow of an oil-gas two phase and the ground flow, the relation between the relative permeability ratio of the oil-gas two phase and the flow of the oil-gas two phase, the binomial relation between the relative permeability ratio of the oil-gas two phase and the gas saturation, and determining a binomial regression coefficient of the gas drive characteristic curve relational expression;
and calculating the single-well dynamic reserve and the recoverable reserve of the gas drive oil reservoir based on the binomial regression coefficient of the relational expression of the gas drive characteristic curve and the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation.
Optionally, the calculating the gas saturation of the gas drive reservoir according to the substance balance principle specifically includes:
calculating the oil saturation of the gas drive reservoir according to a substance balance principle; oil saturation of the gas drive reservoir
SoIs oil saturation, N is crude oil geological reserve, NpTo accumulate oil production, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiIrreducible water saturation;
calculating a gas saturation based on the oil saturation; the gas saturation
Sg＝1-Swi-So。
Optionally, the relationship between the oil-gas two-phase relative permeability ratio and the oil-gas two-phase flow rate is
Wherein q isgIs the flow rate of the gas phase under formation conditions, qoIs the oil phase flow under formation conditions, muoIs crude oil viscosity, mu, under formation conditionsgIs the natural gas viscosity, k, at formation conditionsroIs the relative permeability of the oil phase, krgIs the gas phase relative permeability.
Optionally, the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation is
Wherein k isroRelative permeability of the oil phase; k is a radical ofrgIs the relative permeability of the gas phase, SgIs the gas saturation, a is the quadratic term coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation, b is the oil-gas two-phase relative permeabilityThe lnc is a constant term in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation.
Optionally, the method includes establishing a gas flooding characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under the condition of constant seepage of the gas flooding reservoir and determining a binomial regression coefficient of the gas flooding characteristic curve relational expression by using a relation between the underground flow of the oil-gas two phases and the ground flow, a relation between a relative permeability ratio of the oil-gas two phases and the flow of the oil-gas two phases, a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation, and specifically includes:
establishing the relation between the underground flow and the ground flow of oil-gas two phases
Wherein q isgIs the flow rate of the gas phase under formation conditions, qoIs the flow rate of the oil phase under formation conditions, qgscIs the flow rate of the gas phase at ground conditions, qoscThe flow rate of the oil phase under the ground condition, BgIs the volume coefficient of natural gas, RsiOriginal dissolved gas-oil ratio, BoIs the volume coefficient of crude oil;
establishing a gas drive characteristic curve relational expression between the produced gas-oil ratio and the accumulated produced oil under the condition of fixed seepage of the gas drive reservoir by using the relation between the underground flow and the ground flow of the oil-gas two-phase, the relation between the relative permeability ratio of the oil-gas two-phase and the flow of the oil-gas two-phase, the binomial relation between the relative permeability ratio of the oil-gas two-phase and the gas saturation; the gas drive characteristic curve has the relation formula of
Wherein GOR is the ratio of produced gas to oil, and GOR is qgsc/qosc，qgscIs the flow rate of the gas phase at ground conditions, qoscIs the flow of the oil phase under the ground conditions, RsiA is a quadratic coefficient in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, B is a first order coefficient in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, lnc is a constant term in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, and B is a constant term in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturationoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiFor irreducible water saturation, N is the crude oil geological reserve, NpTo accumulate oil production, muoIs crude oil viscosity, mu, under formation conditionsgIs the viscosity of natural gas under formation conditions, BgIs the volume coefficient of natural gas;
determining binomial regression coefficients of the gas drive characteristic curve relational expression
Wherein A is a quadratic term coefficient in a binomial regression coefficient of the gas flooding characteristic curve relational expression, B is a first order term coefficient in the binomial regression coefficient of the gas flooding characteristic curve relational expression, and C is a constant term in the binomial regression coefficient of the gas flooding characteristic curve relational expression.
Optionally, the calculating the single-well dynamic reserve and the recoverable reserve of the gas flooding reservoir based on the binomial regression coefficient of the binomial relationship between the gas flooding characteristic curve relational expression and the oil-gas two-phase relative permeability ratio and the gas saturation specifically includes:
calculating the single-well dynamic reserve of the gas drive oil reservoir according to the quadratic coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation;
and calculating the recoverable reserve of the gas drive oil reservoir according to the binomial regression coefficient of the gas drive characteristic curve relational expression.
Optionally, the single well dynamic reserves
Wherein N issFor single well dynamic reserves, a is the quadratic coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiFor irreducible water saturation, A is the coefficient of the second order in the binomial regression coefficient of the gas flooding characteristic curve relational expression.
Optionally, the recoverable reserve
Wherein N ispmaxFor recoverable reserves, A is the coefficient of the second order in the binomial regression coefficient of the gas flooding characteristic curve relational expression, B is the coefficient of the first order in the binomial regression coefficient of the gas flooding characteristic curve relational expression, C is the constant term in the binomial regression coefficient of the gas flooding characteristic curve relational expression, GORmaxFor producing gas-oil ratio at economic limit, RsiThe original dissolved gas-oil ratio.
The invention also provides a system for determining the single-well dynamic reserve and recoverable reserve of the gas drive reservoir, which comprises:
the gas saturation calculation module is used for calculating the gas saturation of the gas drive oil reservoir according to the substance balance principle;
the first relation calculation module is used for establishing the relation between the relative permeability ratio of the oil-gas two phases and the flow of the oil-gas two phases according to Darcy's law;
the second relation calculation module is used for fitting a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation based on the oil-gas two-phase seepage rule;
a third relation calculation module, configured to establish a gas flooding characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under a fixed seepage condition of a gas flooding oil reservoir and determine a binomial regression coefficient of the gas flooding characteristic curve relational expression from a relation between an oil-gas two-phase underground flow and a ground flow, a relation between the oil-gas two-phase relative permeability ratio and the oil-gas two-phase flow, a binomial relation between the oil-gas two-phase relative permeability ratio and a gas saturation, and the gas saturation;
and the reserves calculation module is used for calculating the single-well dynamic reserves and the recoverable reserves of the gas drive oil reservoirs on the basis of the binomial regression coefficients of the binomial relation of the gas drive characteristic curve relational expression and the binomial regression coefficients of the binomial relation of the oil-gas two-phase relative permeability ratio and the gas saturation.
Optionally, the gas saturation calculating module specifically includes:
the oil saturation calculating unit is used for calculating the oil saturation of the gas drive oil reservoir according to a substance balance principle; oil saturation of the gas drive reservoir
SoIs oil saturation, N is crude oil geological reserve, NpTo accumulate oil production, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiIrreducible water saturation;
the gas saturation calculating unit is used for calculating the gas saturation based on the oil saturation; the gas saturation
Sg＝1-Swi-So。
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a method and a system for determining single-well dynamic reserves and recoverable reserves of a gas drive oil reservoir. The method can improve the calculation efficiency and the calculation precision of the single-well dynamic reserves and the recoverable reserves of the gas drive reservoir, and has important significance for the development of the gas drive reservoir.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a flow chart of a method for determining single-well dynamic reserves and recoverable reserves of a gas drive reservoir according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of an oil-gas two-phase relative permeability curve provided by an embodiment of the present invention;
FIG. 3 shows ln (K) provided by the embodiment of the present inventionrg/Kro) And SgThe relationship curve and the binomial fitting curve are shown schematically;
FIG. 4 shows an example of an ln (GOR-R) signal provided by an embodiment of the present inventionsi) And NpThe relationship curve and the binomial fitting curve are shown schematically;
fig. 5 is a block diagram of a system for determining a single-well dynamic reserve and a recoverable reserve of a gas drive reservoir 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.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
The correlation coefficient of a binomial fitting curve of the oil-gas two-phase relative permeability ratio and the gas saturation in a semi-logarithmic coordinate is larger than that of a linear fitting curve. Therefore, the method adopts a semilogarithmic binomial fitting relation to represent the relation between the oil-gas two-phase relative permeability ratio and the gas saturation, and then deduces and establishes a novel gas drive characteristic curve between the produced gas-oil ratio and the accumulated oil of the gas drive oil reservoir through a material balance method and Darcy's law. And finally, rapidly calculating the dynamic reserves of the single well and the recoverable reserves under the condition of the economic limit gas-oil ratio of the single well according to the binomial equation of the relative permeability ratio value of the oil-gas two phases and the gas saturation and the fitting parameters of the novel gas drive characteristic curve equation.
Fig. 1 is a flowchart of a method for determining a single-well dynamic reserve and a recoverable reserve of a gas drive reservoir according to an embodiment of the present invention. Referring to fig. 1, the method for determining the single-well dynamic reserve and recoverable reserve of a gas drive reservoir of the present embodiment includes:
step 101: and calculating the gas saturation of the gas drive reservoir according to the substance balance principle.
The step 101 specifically includes:
for a gas-drive oil reservoir which does not produce water or produces little water, the seepage condition of the reservoir can be equivalent to oil-gas two-phase seepage under the condition of the saturation of the bound water, and the oil saturation of the gas-drive oil reservoir at any moment is the ratio of the volume of the residual oil in the oil reservoir to the pore volume of the oil reservoir according to the substance balance principle; oil saturation of the gas drive reservoir
SoIs oil saturation, N is crude oil geological reserve, NpTo accumulate oil production, BoIs the volume coefficient of crude oil, BoiAs crude oil original volume systemNumber, SwiIrreducible water saturation;
calculating gas saturation based on the oil saturation during gas injection displacement of crude oil; the gas saturation
Sg＝1-Swi-So。
Step 102: and establishing the relation between the relative permeability value of the oil-gas two-phase and the flow rate of the oil-gas two-phase according to Darcy's law. Under the condition of gas drive stable seepage, the relation between the oil-gas two-phase relative permeability value and the oil-gas two-phase flow established according to Darcy's law is
Wherein q isgIs the flow rate of the gas phase under formation conditions, qoIs the oil phase flow under formation conditions, muoIs crude oil viscosity, mu, under formation conditionsgIs the natural gas viscosity, k, at formation conditionsroIs the relative permeability of the oil phase, krgIs the gas phase relative permeability.
Step 103: fitting a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation based on the oil-gas two-phase seepage rule. The binomial relation between the oil-gas two-phase relative permeability value and the gas saturation is
Wherein k isroRelative permeability of the oil phase; k is a radical ofrgIs the relative permeability of the gas phase, SgFor the gas saturation, a, b and lnc form a binomial regression coefficient of a binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation, a is a quadratic coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation, b is a first order coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation, and lnc is the oil-gas two-phase relative permeability ratio and the gas saturationA constant term in a binomial regression coefficient of a binomial relationship of gas saturation.
Step 104: establishing a gas drive characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under a gas drive oil reservoir constant seepage condition according to the relation between the underground flow of an oil-gas two phase and the ground flow, the relation between the relative permeability ratio of the oil-gas two phase and the flow of the oil-gas two phase, the binomial relation between the relative permeability ratio of the oil-gas two phase and the gas saturation, and determining a binomial regression coefficient of the gas drive characteristic curve relational expression.
The step 104 specifically includes:
establishing the relation between the underground flow and the ground flow of oil-gas two phases
Wherein q isgIs the flow rate of the gas phase under formation conditions, qoIs the flow rate of the oil phase under formation conditions, qgscIs the flow rate of the gas phase at ground conditions, qoscThe flow rate of the oil phase under the ground condition, BgIs the volume coefficient of natural gas, RsiOriginal dissolved gas-oil ratio, BoIs the volume coefficient of crude oil;
establishing a gas drive characteristic curve relational expression between the produced gas-oil ratio and the accumulated produced oil under the condition of fixed seepage of the gas drive reservoir by using the relation between the underground flow and the ground flow of the oil-gas two-phase, the relation between the relative permeability ratio of the oil-gas two-phase and the flow of the oil-gas two-phase, the binomial relation between the relative permeability ratio of the oil-gas two-phase and the gas saturation; the gas drive characteristic curve has the relation formula of
Wherein GOR is the ratio of produced gas to oil, and GOR is qgsc/qosc，qgscIs the flow rate of the gas phase at ground conditions, qoscIs the flow of the oil phase under the ground conditions, RsiA, B and lnc are binomial regression coefficients of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, and BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiFor irreducible water saturation, N is the crude oil geological reserve, NpTo accumulate oil production, muoIs crude oil viscosity, mu, under formation conditionsgIs the viscosity of natural gas under formation conditions, BgIs the volume coefficient of natural gas;
determining binomial regression coefficients of the gas drive characteristic curve relational expression
A, B and C form a binomial regression coefficient of the gas flooding characteristic curve relational expression, A is a quadratic coefficient in the binomial regression coefficient of the gas flooding characteristic curve relational expression, B is a first order coefficient in the binomial regression coefficient of the gas flooding characteristic curve relational expression, and C is a constant term in the binomial regression coefficient of the gas flooding characteristic curve relational expression.
Step 105: and calculating the single-well dynamic reserve and the recoverable reserve of the gas drive oil reservoir based on the binomial regression coefficient of the relational expression of the gas drive characteristic curve and the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation.
The step 105 specifically includes:
and calculating the single-well dynamic reserve of the gas drive reservoir according to the quadratic coefficient in the binomial regression coefficient of the binomial relation of the gas drive characteristic curve relational expression and the oil-gas two-phase relative permeability ratio and the gas saturation. The single well dynamic reserve
Wherein N issFor single well dynamic reserves, a is an oil-gas two-phaseCoefficient of the second order in the binomial regression coefficient for the binomial relationship of permeability ratio to gas saturation, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiFor irreducible water saturation, A is the coefficient of the second order in the binomial regression coefficient of the gas flooding characteristic curve relational expression.
And calculating the recoverable reserve of the gas drive oil reservoir according to the binomial regression coefficient of the gas drive characteristic curve relational expression. Said recoverable reserve
Wherein N ispmaxFor recoverable reserves, A is the coefficient of the second order in the binomial regression coefficient of the gas flooding characteristic curve relational expression, B is the coefficient of the first order in the binomial regression coefficient of the gas flooding characteristic curve relational expression, C is the constant term in the binomial regression coefficient of the gas flooding characteristic curve relational expression, GORmaxFor producing gas-oil ratio at economic limit, RsiThe original dissolved gas-oil ratio.
A more specific embodiment is provided below.
After the P1 well of a certain oil reservoir is subjected to early failure development, gas injection development is carried out, and meanwhile, the P1 well of the oil reservoir does not produce water, so the reservoir seepage condition can be equivalent to oil-gas two-phase seepage under the condition of irreducible water saturation, and according to the substance balance principle, the oil saturation of the oil reservoir at any moment is the ratio of the volume of residual oil in the oil reservoir to the pore volume of the oil reservoir:
in the formula: n is the crude oil geological reserve, 104m3；NpFor cumulative oil production, 104m3；BoIs the volume coefficient of crude oil; b isoiIs the original volume coefficient of the crude oil.
During gas injection displacement of crude oil, the gas saturation can be expressed as:
Sg＝1-Swi-So (2)
in the formula: soIs the crude oil saturation; swiTo irreducible water saturation.
The gas saturation of the oil reservoir at any moment can be obtained by changing the formula (1) into the formula (2):
under the condition of gas drive stable seepage, according to Darcy's law, the relation between the relative permeability ratio of oil-gas two-phase and the flow of oil-gas two-phase is as follows:
in the formula: q. q.sgIs the flow rate of the gas phase under formation conditions, m3；qoIs the oil phase flow under formation conditions, m3；μoCrude oil viscosity, mPa.s under stratum conditions; mu.sgThe natural gas viscosity under formation conditions, mPa · s.
The relation between the underground flow and the ground flow of the oil-gas two phases is as follows:
in the formula: q. q.sgscIs the gas phase flow m under ground conditions3；qoscIs the flow of oil phase under ground conditions, m3；BgIs the volume coefficient of natural gas; rsiM is the original dissolved gas-oil ratio3/m3。
According to the relation curve between the oil-gas two-phase relative permeability ratio and the gas saturation in the semilogarithmic coordinate, the correlation coefficient of the binomial fitting curve is larger than that of the linear fitting curve, so that the relation between the oil-gas two-phase relative permeability ratio and the gas saturation can adopt a binomial fitting relation:
in the formula, KroRelative permeability of the oil phase; krgRelative gas phase permeability; sgIs the gas saturation; and a, b and lnc are equation regression coefficients.
And (4) calculating indexes of two sides of the formula (6):
substituting formulae (5) and (7) into formula (4) to obtain:
shifting the formula (8) and combining the same type of terms to obtain:
shifting the expression (9) to obtain:
in the formula: GOR is the ratio of produced gas to oil, and GOR is qgsc/qosc。
And (3) carrying out logarithm calculation on two sides of the equation (10) equal sign to obtain:
substituting formula (3) into formula (11) to obtain:
(12) the formula is a novel gas drive characteristic curve relational expression of the gas injection oil reservoir, and is simplified as follows:
ln(GOR-Rsi)＝＝ANp 2+BNp+C (13)
in the formula:
according to the oil-gas two-phase relative permeability curve of FIG. 2, ln (K) is plottedrg/Kro) And SgAs shown in fig. 3, the binomial fitting relationship of (a) is:
in the formula: 22.35366, 34.77486 and 480.87146.
Drawing ln (GOR-R) according to the accumulated oil production and production gas-oil ratio data of a certain oil reservoir P1 wellsi) And NpAs shown in fig. 4, the relationship of the gas flooding characteristic curve of the gas injection opening reservoir is as follows:
ln(GOR-Rsi)＝4.33699×10-5Np 2+0.01573Np+2.92847 (16)
in the formula: a 4.33699 × 10-4，B＝0.01573，C＝2.92847。
The production dynamics of the beginning of gas injection from a well at a given reservoir P1 are shown in Table 1.
TABLE 1 production dynamics data for the beginning of gas injection into a reservoir P1 well
According to the quadratic term in the binomial regression coefficient of the gas drive characteristic curveCoefficients A and lnKrg/Kro)-SgThe dynamic reserves of the P1 well of a certain gas injection exploitation oil reservoir are obtained by calculating the binomial regression coefficients:
GOR when the gas-oil ratio of P1 well reaches the economic limitmaxWhen the oil gas displacement is 1000, calculating the recoverable reserves of the P1 well according to a binomial regression coefficient A, B, C of the novel gas displacement characteristic curve as follows:
according to the method, a gas drive characteristic curve relational expression of the gas injection development oil deposit is deduced and established according to the relation between the oil-gas two-phase relative permeability ratio and the gas saturation, a material balance equation and Darcy's law, and theoretical basis is provided for rapidly calculating the single-well dynamic reserve and the recoverable reserve of the gas drive oil deposit.
In this embodiment, a relation curve of the oil-gas two-phase relative permeability ratio and the gas saturation of the whole stage in the semi-logarithmic coordinate is fitted based on a binomial relation, and a relation curve about ln (GOR-R) is derived and establishedsi) And NpThe gas drive characteristic curve of the binomial relation defines the physical significance of each parameter of the related formula; the single-well dynamic reserve and the recoverable reserve of the gas injection exploitation oil reservoir are calculated according to the binomial regression coefficients A, B and C of the relational expression of the gas drive characteristic curve, the oil-gas two-phase relative permeability ratio in a semilogarithmic coordinate and the binomial regression coefficient a of the gas saturation, and the method has important significance for the exploitation of the gas drive oil reservoir.
The invention also provides a system for determining the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir, and fig. 5 is a structural diagram of the system for determining the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir provided by the embodiment of the invention. Referring to fig. 5, the system for determining the single-well dynamic reserve and recoverable reserve of the gas drive reservoir of the present embodiment includes:
and the gas saturation calculating module 201 is used for calculating the gas saturation of the gas drive reservoir according to the substance balance principle.
And the first relation calculation module 202 is used for establishing the relation between the oil-gas two-phase relative permeability ratio and the oil-gas two-phase flow according to Darcy's law.
And the second relation calculation module 203 is used for fitting a binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation based on the oil-gas two-phase seepage rule.
And a third relation calculation module 204, configured to establish a gas flooding characteristic curve relational expression between the produced gas-oil ratio and the accumulated produced oil under the condition of fixed seepage of the gas flooding reservoir and determine a binomial regression coefficient of the gas flooding characteristic curve relational expression from a relation between the underground flow of the oil-gas two phases and the ground flow, a relation between the relative permeability ratio of the oil-gas two phases and the flow of the oil-gas two phases, a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation, and the gas saturation.
And the reserves calculating module 205 is used for calculating the single-well dynamic reserves and the recoverable reserves of the gas drive reservoirs based on the binomial regression coefficients of the relation of the gas drive characteristic curves and the binomial regression coefficients of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation.
As an optional implementation manner, the gas saturation calculation module 201 specifically includes:
the oil saturation calculating unit is used for calculating the oil saturation of the gas drive oil reservoir according to a substance balance principle; oil saturation of the gas drive reservoir
SoIs oil saturation, N is crude oil geological reserve, NpTo accumulate oil production, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiTo irreducible water saturation.
The gas saturation calculating unit is used for calculating the gas saturation based on the oil saturation; the gas saturation
Sg＝1-Swi-So。
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the method part for description.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.
Claims (10)
1. A method for determining single-well dynamic reserves and recoverable reserves of a gas drive reservoir is characterized by comprising the following steps:
calculating the gas saturation of the gas drive reservoir according to a substance balance principle;
establishing a relation between the relative permeability ratio of the oil-gas two phases and the flow rate of the oil-gas two phases according to Darcy's law;
fitting a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation based on the oil-gas two-phase seepage rule;
establishing a gas drive characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under a gas drive oil reservoir constant seepage condition according to the relation between the underground flow of an oil-gas two phase and the ground flow, the relation between the relative permeability ratio of the oil-gas two phase and the flow of the oil-gas two phase, the binomial relation between the relative permeability ratio of the oil-gas two phase and the gas saturation, and determining a binomial regression coefficient of the gas drive characteristic curve relational expression;
and calculating the single-well dynamic reserve and the recoverable reserve of the gas drive oil reservoir based on the binomial regression coefficient of the relational expression of the gas drive characteristic curve and the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation.
2. The method for determining the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir according to claim 1, wherein the calculating of the gas saturation of the gas drive reservoir according to the substance balance principle specifically comprises:
calculating the oil saturation of the gas drive reservoir according to a substance balance principle; oil saturation of the gas drive reservoir
SoIs oil saturation, N is crude oil geological reserve, NpTo accumulate oil production, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiIrreducible water saturation;
calculating a gas saturation based on the oil saturation; the gas saturation
Sg＝1-Swi-So。
3. The method for determining the dynamic reserve and recoverable reserve of a gas drive reservoir according to claim 1, wherein the oil-gas two-phase relative permeability ratio is related to the oil-gas two-phase flow
Wherein q isgIs the flow rate of the gas phase under formation conditions, qoIs the oil phase flow under formation conditions, muoIs crude oil viscosity, mu, under formation conditionsgIs the natural gas viscosity, k, at formation conditionsroIs the relative permeability of the oil phase, krgIs the gas phase relative permeability.
4. The method for determining the dynamic reserves and the recoverable reserves of the single well of the gas drive reservoir according to claim 1, wherein the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation is
Wherein k isroRelative permeability of the oil phase; k is a radical ofrgIs the relative permeability of the gas phase, SgThe gas saturation degree is defined as a quadratic term coefficient in a binomial regression coefficient of a binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation degree, b is a first order coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation degree, and lnc is a constant term in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation degree.
5. The method for determining the single-well dynamic reserve and the recoverable reserve of the gas-flooding reservoir according to claim 1, wherein the method comprises the steps of establishing a gas-flooding characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under the condition of constant seepage flow of the gas-flooding reservoir and determining a binomial regression coefficient of the gas-flooding characteristic curve relational expression from the relation between the underground flow rate of the oil-gas two-phase and the ground flow rate, the relation between the relative permeability ratio of the oil-gas two-phase and the flow rate of the oil-gas two-phase, the binomial relation between the relative permeability ratio of the oil-gas two-phase and the gas saturation, and specifically comprises the following steps:
establishing the relation between the underground flow and the ground flow of oil-gas two phases
Wherein q isgIs the flow rate of the gas phase under formation conditions, qoIs the flow rate of the oil phase under formation conditions, qgscIs the flow rate of the gas phase at ground conditions, qoscThe flow rate of the oil phase under the ground condition, BgIs the volume coefficient of natural gas, RsiOriginal dissolved gas-oil ratio, BoIs the volume coefficient of crude oil;
establishing a gas drive characteristic curve relational expression between the produced gas-oil ratio and the accumulated produced oil under the condition of fixed seepage of the gas drive reservoir by using the relation between the underground flow and the ground flow of the oil-gas two-phase, the relation between the relative permeability ratio of the oil-gas two-phase and the flow of the oil-gas two-phase, the binomial relation between the relative permeability ratio of the oil-gas two-phase and the gas saturation; the gas drive characteristic curve has the relation formula of
Wherein GOR is the ratio of produced gas to oil, and GOR is qgsc/qosc，qgscIs the flow rate of the gas phase at ground conditions, qoscIs the flow of the oil phase under the ground conditions, RsiA is a quadratic coefficient in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, B is a first order coefficient in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, lnc is a constant term in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturation, and B is a constant term in a binomial regression coefficient of a binomial relation between an oil-gas two-phase relative permeability ratio and a gas saturationoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiFor irreducible water saturation, N is the crude oil geological reserve, NpTo accumulate oil production, muoIs crude oil viscosity, mu, under formation conditionsgIs the viscosity of natural gas under formation conditions, BgIs the volume coefficient of natural gas;
determining binomial regression coefficients of the gas drive characteristic curve relational expression
Wherein A is a quadratic term coefficient in a binomial regression coefficient of the gas flooding characteristic curve relational expression, B is a first order term coefficient in the binomial regression coefficient of the gas flooding characteristic curve relational expression, and C is a constant term in the binomial regression coefficient of the gas flooding characteristic curve relational expression.
6. The method for determining the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir according to claim 1, wherein the calculating of the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir based on the binomial regression coefficients of the gas drive characteristic curve relational expression and the binomial regression coefficients of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation specifically comprises:
calculating the single-well dynamic reserve of the gas drive oil reservoir according to the quadratic coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation;
and calculating the recoverable reserve of the gas drive oil reservoir according to the binomial regression coefficient of the gas drive characteristic curve relational expression.
7. The method for determining the single-well dynamic reserve and the recoverable reserve of a gas drive reservoir according to claim 6, wherein the single-well dynamic reserve is a single-well dynamic reserve
Wherein N issFor single well dynamic reserves, a is the quadratic coefficient in the binomial regression coefficient of the binomial relation between the oil-gas two-phase relative permeability ratio and the gas saturation, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiFor irreducible water saturation, A is the coefficient of the second order in the binomial regression coefficient of the gas flooding characteristic curve relational expression.
8. The method for determining the single-well dynamic reserve and the recoverable reserve of a gas drive reservoir according to claim 6, wherein the recoverable reserve
Wherein N ispmaxFor recoverable reserves, A is the coefficient of the second order in the binomial regression coefficient of the gas flooding characteristic curve relational expression, B is the coefficient of the first order in the binomial regression coefficient of the gas flooding characteristic curve relational expression, C is the constant term in the binomial regression coefficient of the gas flooding characteristic curve relational expression, GORmaxFor producing gas-oil ratio at economic limit, RsiThe original dissolved gas-oil ratio.
9. A system for determining individual well dynamic reserves and recoverable reserves of a gas drive reservoir, comprising:
the gas saturation calculation module is used for calculating the gas saturation of the gas drive oil reservoir according to the substance balance principle;
the first relation calculation module is used for establishing the relation between the relative permeability ratio of the oil-gas two phases and the flow of the oil-gas two phases according to Darcy's law;
the second relation calculation module is used for fitting a binomial relation between the relative permeability ratio of the oil-gas two phases and the gas saturation based on the oil-gas two-phase seepage rule;
a third relation calculation module, configured to establish a gas flooding characteristic curve relational expression between a produced gas-oil ratio and accumulated produced oil under a fixed seepage condition of a gas flooding oil reservoir and determine a binomial regression coefficient of the gas flooding characteristic curve relational expression from a relation between an oil-gas two-phase underground flow and a ground flow, a relation between the oil-gas two-phase relative permeability ratio and the oil-gas two-phase flow, a binomial relation between the oil-gas two-phase relative permeability ratio and a gas saturation, and the gas saturation;
and the reserves calculation module is used for calculating the single-well dynamic reserves and the recoverable reserves of the gas drive oil reservoirs on the basis of the binomial regression coefficients of the binomial relation of the gas drive characteristic curve relational expression and the binomial regression coefficients of the binomial relation of the oil-gas two-phase relative permeability ratio and the gas saturation.
10. The system for determining the single-well dynamic reserve and the recoverable reserve of the gas drive reservoir according to claim 9, wherein the gas saturation calculation module specifically comprises:
the oil saturation calculating unit is used for calculating the oil saturation of the gas drive oil reservoir according to a substance balance principle; oil saturation of the gas drive reservoir
SoIs oil saturation, N is crude oil geological reserve, NpTo accumulate oil production, BoIs the volume coefficient of crude oil, BoiIs the original volume coefficient of the crude oil, SwiIrreducible water saturation;
the gas saturation calculating unit is used for calculating the gas saturation based on the oil saturation; the gas saturation
Sg＝1-Swi-So。
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