CN107346518B - Method for obtaining maximum seepage resistance gradient of oil-water two-phase flow of dense low-permeability reservoir - Google Patents
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Abstract
The invention provides a method for acquiring a maximum seepage resistance gradient of oil-water two-phase flow of a compact low-permeability reservoir, which comprises the following steps: step 1, measuring a steady-state pressure gradient-flow relation, and respectively drawing relation curves of oil and water displacement pressure gradients and flow; step 2, fitting an experimental curve to obtain respective nonlinear seepage parameters of oil and water phases; step 3, calculating a water saturation numerical value corresponding to the maximum seepage resistance gradient by using the obtained oil-water two-phase nonlinear seepage parameters; and 4, calculating the maximum seepage resistance gradient of the rock core by applying the water saturation numerical value corresponding to the maximum seepage resistance gradient. The method for obtaining the maximum seepage resistance gradient of the oil-water two-phase flow of the compact low-permeability reservoir can quantitatively represent the maximum seepage resistance in water injection development of the low-permeability reservoir, and lays a foundation for reasonable and effective development of the low-permeability reservoir.
Description
Technical Field
The invention relates to the seepage characteristics of underground fluids such as petroleum, natural gas and the like in a low-permeability porous medium and the development and research of an oil-gas reservoir, in particular to a method for acquiring the maximum seepage resistance gradient of oil-water two-phase flow of a compact low-permeability reservoir.
Background
The compact low-permeability reservoir has thinner and smaller pore throats than a common low-permeability reservoir, the seepage resistance influence of fluid in the seepage process is larger, the phenomena of ' water injection process is stopped gradually at a certain injection pressure, and water injection process can be continuously carried out only by improving the injection pressure, and ' no injection and no extraction ' exist, the effective development of the low-permeability reservoir is seriously influenced, and an effective method for obtaining the maximum seepage resistance of the low-permeability reservoir does not exist at present. Therefore, the invention provides a method for obtaining the maximum seepage resistance gradient of the oil-water two-phase flow of the compact low-permeability reservoir through the seepage parameters of the core, thereby solving the problems.
Disclosure of Invention
The invention aims to provide a method for acquiring the maximum seepage resistance gradient of the oil-water two-phase flow of the compact low-permeability reservoir, which can quantitatively calculate the maximum seepage resistance gradient of the low-permeability reservoir and lay a foundation for the reasonable and effective development of the low-permeability reservoir.
The object of the invention can be achieved by the following technical measures: the method for obtaining the maximum seepage resistance gradient of the oil-water two-phase flow of the compact low-permeability reservoir comprises the following steps: step 1, measuring a steady-state pressure gradient-flow relation, and respectively drawing relation curves of oil and water displacement pressure gradients and flow; step 2, fitting an experimental curve to obtain respective nonlinear seepage parameters of oil and water phases; step 3, calculating a water saturation numerical value corresponding to the maximum seepage resistance gradient by using the obtained oil-water two-phase nonlinear seepage parameters; and 4, calculating the maximum seepage resistance gradient of the rock core by applying the water saturation numerical value corresponding to the maximum seepage resistance gradient.
The object of the invention can also be achieved by the following technical measures:
in the step 1, drying the rock core, injecting saturated deionized water into the rock core by using different displacement pressures under the condition of a certain fixed oil-water volume ratio until steady-state flow is achieved, measuring a steady-state pressure gradient-flow relation by using a multifunctional rock core displacement device, respectively recording seepage velocities of oil and water passing through the low-permeability rock core under different displacement pressure differences, and drawing a relation curve of the oil and water displacement pressure gradient and the flow on the same coordinate graph.
In the step 2, fitting a relation curve of the water phase displacement pressure gradient and the flow by applying a formula (1) to obtain a water phase nonlinear seepage parameterw、cw：
In the formula, QwThe flow rate of the water phase under different displacement pressure gradients is ml/s; Δ p is the displacement pressure, MPa; mu.swIs the viscosity of deionized water, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD;wis a non-linear coefficient of the seepage of the deionized water and has no dimension; c. CwIs the non-linear coefficient of the seepage of deionized water, m/MPa-1(ii) a l is the core length, cm.
In the step 2, fitting an oil phase displacement pressure gradient and flow relation curve by applying a formula (2) to obtainOil phase nonlinear seepage parametero、co：
In the formula, QoThe flow rate of the oil phase under different displacement pressure gradients is ml/s; Δ p is the displacement pressure, MPa; mu.soTo simulate the viscosity of the oil, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD;othe method is a dimensionless simulation of oil seepage nonlinear coefficient; c. CoIn order to simulate the non-linear coefficient of oil seepage, m/MPa-1(ii) a l is the core length, cm.
In step 3, according to the obtained data of the seepage parameters of the oil phase and the water phase and the basic parameters of the rock core and the fluid, the water saturation numerical value corresponding to the maximum seepage resistance gradient is calculated by applying a formula (3), wherein the calculation formula is
In the formula, krwRelative permeability of water phase, decimal; swThe water saturation; f. ofwIn the formula (3), when ξ is equal to 0, the water saturation value corresponding to the maximum seepage resistance gradient can be obtained, and the formula (3) obtains an approximate value by giving different saturation values and adopting a trial algorithm.
In step 4, calculating the maximum seepage resistance gradient according to the water saturation value corresponding to the maximum seepage resistance gradient, wherein the calculation formula is
In the formula, λpmaxMaximum seepage resistance gradient, MPa/m; mu.swIs the viscosity of deionized water, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD; k is a radical ofrwRelative permeability of water phase, decimal;fwthe water content is the water content under different water saturation, decimal;wis a water phase seepage nonlinear coefficient and has no dimension; c. CwIs a water phase seepage nonlinear coefficient, m/MPa-1(ii) a Δ p is the displacement pressure, MPa; l is the seepage length, m; q. q.sinjFluid injection rate, ml/s. .
The method for obtaining the maximum seepage resistance gradient of the oil-water two-phase flow of the compact low-permeability reservoir is an important research method for researching the seepage characteristics of underground fluids such as petroleum, natural gas and the like in a low-permeability porous medium and developing an oil-gas reservoir. With the improvement of the oil field exploitation process level and the requirement of national economic development, the petroleum accumulated in the low-permeability or even compact low-permeability reservoir stratum has industrial exploitation value, the distribution characteristic of the seepage resistance of the reservoir stratum is clarified, and the theoretical foundation is laid for the effective water injection development of the compact oil reservoir. The method establishes the maximum seepage resistance gradient capable of being quantitatively calculated for the low-permeability reservoir, and lays a foundation for improving the oil field development effect of the low-permeability reservoir. Aiming at the problem that the maximum seepage resistance gradient exists in a compact low-permeability reservoir, starting from quantitative research on oil-water two-phase seepage rules of a low-permeability core, the method applies a compact low-permeability reservoir seepage theoretical model to fit a seepage curve, calculates a water saturation numerical value corresponding to the maximum seepage resistance gradient on the basis of obtaining oil-water two-phase nonlinear seepage parameters, and calculates the maximum seepage resistance gradient in the low-permeability reservoir water injection development process by using the water saturation numerical value.
Drawings
FIG. 1 is a flowchart of an embodiment of the method for obtaining the maximum oil-water two-phase flow seepage resistance gradient of a tight and low-permeability reservoir according to the present invention.
Detailed Description
In order to make the aforementioned and other objects, features and advantages of the present invention comprehensible, preferred embodiments accompanied with figures are described in detail below.
As shown in fig. 1, fig. 1 is a flow chart of the method for obtaining the maximum seepage resistance gradient of the oil-water two-phase flow of the tight low-permeability reservoir according to the present invention.
In step 101, drying a rock core, injecting saturated deionized water into the rock core by using different displacement pressures under the condition of a certain fixed oil-water volume ratio until steady-state flow is achieved, measuring a steady-state pressure gradient-flow relation by using a multifunctional rock core displacement device, respectively recording seepage velocities of oil and water passing through a low-permeability rock core under different displacement pressure differences, and drawing a relation curve of the oil and water displacement pressure gradients and the flow on the same coordinate graph; calculating relative permeability values of oil and water phases under different water contents by using a JBN method, and calculating water content values under different water saturation degrees;
in step 102, fitting the relation curve of the water phase displacement pressure gradient and the flow rate obtained in step 101 by applying a formula (1) to obtain water phase nonlinear seepage parametersw、cw；
In the formula, QwThe flow rate of the water phase under different displacement pressure gradients is ml/s; Δ p is the displacement pressure, MPa; mu.swIs the viscosity of deionized water, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD;wis a non-linear coefficient of the seepage of the deionized water and has no dimension; c. CwIs the non-linear coefficient of the seepage of deionized water, m/MPa-1(ii) a l is the core length, cm.
Fitting the relation curve of the oil phase displacement pressure gradient and the flow rate obtained in the step 101 by applying a formula (2) to obtain oil phase nonlinear seepage parameterso、co。
In the formula, QoThe flow rate of the oil phase under different displacement pressure gradients is ml/s; Δ p is the displacement pressure, MPa; mu.soTo simulate the viscosity of the oil, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD;othe method is a dimensionless simulation of oil seepage nonlinear coefficient; c. CoIs a dieNon-linear coefficient of oil-like seepage, m/MPa-1(ii) a l is the core length, cm.
In step 103, according to the obtained data such as the seepage parameters of the oil phase and the water phase, the basic parameters of the core and the fluid, and the like, the water saturation value corresponding to the maximum seepage resistance gradient is calculated by applying a formula (3), wherein the calculation formula is
In the formula (3), when ξ is equal to 0, the water saturation value s corresponding to the maximum seepage resistance gradient can be obtainedwpmax. Equation (3) can only be approximated by trial and error by giving different saturation values.
In the formula, krwRelative permeability of water phase, decimal; swThe water saturation; f. ofwThe water content is the water content, decimal, under different water saturation.
In step 104, according to the water saturation value corresponding to the maximum seepage resistance gradient on the core scale obtained in step 103, calculating the maximum seepage resistance gradient under different water injection amount conditions on the reservoir scale, wherein the calculation formula is
In the formula, λpmaxMaximum seepage resistance gradient, MPa/m; mu.swIs the viscosity of deionized water, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD; k is a radical ofrwRelative permeability of water phase, decimal; f. ofwThe water content is the water content under different water saturation, decimal;wis a water phase seepage nonlinear coefficient and has no dimension; c. CwIs a water phase seepage nonlinear coefficient, m/MPa-1(ii) a Δ p is the displacement pressure, MPa; l is the seepage length, m; q. q.sinjFluid injection rate, ml/s.
The flow ends.
Claims (1)
1. The method for obtaining the maximum seepage resistance gradient of the oil-water two-phase flow of the compact low-permeability reservoir is characterized by comprising the following steps of:
step 1, measuring a steady-state pressure gradient-flow relation, and respectively drawing relation curves of oil and water displacement pressure gradients and flow;
step 2, fitting an experimental curve to obtain respective nonlinear seepage parameters of oil and water phases;
step 3, calculating a water saturation numerical value corresponding to the maximum seepage resistance gradient by using the obtained oil-water two-phase nonlinear seepage parameters;
step 4, calculating the maximum seepage resistance gradient of the rock core by applying the water saturation numerical value corresponding to the maximum seepage resistance gradient;
in the step 1, drying a rock core, injecting saturated deionized water into the rock core by using different displacement pressures under the condition of a certain fixed oil-water volume ratio until steady-state flow is achieved, measuring a steady-state pressure gradient-flow relation by using a multifunctional rock core displacement device, respectively recording seepage velocities of oil and water passing through a low-permeability rock core under different displacement pressure differences, and drawing a relation curve of the oil and water displacement pressure gradients and the flow on the same coordinate graph;
in the step 2, fitting a relation curve of the water phase displacement pressure gradient and the flow by applying a formula (1) to obtain a water phase nonlinear seepage parameterw、cw：
In the formula, QwThe flow rate of the water phase under different displacement pressure gradients is ml/s; Δ p is the displacement pressure, MPa; mu.swIs the viscosity of deionized water, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD;wis a non-linear coefficient of the seepage of the deionized water and has no dimension; c. CwIs the non-linear coefficient of the seepage of deionized water, m/MPa-1(ii) a l is the core length, cm;
fitting oil phase flooding by applying formula (2)Replacing the relation curve of pressure gradient and flow rate to obtain the nonlinear seepage parameters of oil phaseo、co：
In the formula, QoThe flow rate of the oil phase under different displacement pressure gradients is ml/s; Δ p is the displacement pressure, MPa; mu.soTo simulate the viscosity of the oil, mPa/s; a is the cross-sectional area of the core in cm2；k0As the absolute permeability of the core, mD;othe method is a dimensionless simulation of oil seepage nonlinear coefficient; c. CoIn order to simulate the non-linear coefficient of oil seepage, m/MPa-1(ii) a l is the core length, cm;
in step 3, according to the obtained data of the seepage parameters of the oil phase and the water phase and the basic parameters of the rock core and the fluid, the water saturation numerical value corresponding to the maximum seepage resistance gradient is calculated by applying a formula (3), wherein the calculation formula is
In the formula, krwRelative permeability of water phase, decimal; swThe water saturation; f. ofwIn the formula (3), when ξ is equal to 0, the water saturation numerical value corresponding to the maximum seepage resistance gradient can be obtained, and the formula (3) obtains an approximate value by giving different saturation numerical values and adopting a trial algorithm;
in step 4, calculating the maximum seepage resistance gradient according to the water saturation value corresponding to the maximum seepage resistance gradient, wherein the calculation formula is
In the formula, λpmaxMaximum seepage resistance gradient, MPa/m; mu.swIs the viscosity of deionized water, mPa/s; a is the cross-sectional area of the core in cm2；k0For absolute rock corePermeability, mD; k is a radical ofrwRelative permeability of water phase, decimal; f. ofwThe water content is the water content under different water saturation, decimal;wis a water phase seepage nonlinear coefficient and has no dimension; c. CwIs a water phase seepage nonlinear coefficient, m/MPa-1(ii) a Δ p is the displacement pressure, MPa; l is the seepage length, m; q. q.sinjFluid injection rate, ml/s.
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