CN113919132A - Productivity prediction method and device suitable for heterogeneous buried hill gas reservoir - Google Patents

Productivity prediction method and device suitable for heterogeneous buried hill gas reservoir Download PDF

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CN113919132A
CN113919132A CN202111049007.9A CN202111049007A CN113919132A CN 113919132 A CN113919132 A CN 113919132A CN 202111049007 A CN202111049007 A CN 202111049007A CN 113919132 A CN113919132 A CN 113919132A
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梁豪
郭书生
廖高龙
王世越
彭志春
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Abstract

The invention discloses a capacity prediction method and a capacity prediction device suitable for a heterogeneous buried hill gas reservoir, wherein the method comprises the following steps: dividing the gas reservoir into N seepage areas along the radial direction of a borehole, wherein the N seepage areas are distributed in a concentric ring shape, and acquiring the permeability of the N seepage areas; establishing an Nth flow equation by taking a radial seepage physical process of flowing from the outer boundary of the Nth seepage area to the outer boundary of the Nth-1 seepage area as a research object; establishing a first flow equation by using the column extrapolation until establishing a seepage physical process of the outer boundary of the first seepage area flowing to the borehole as a research object; overlapping the Nth flow equation to the first flow equation by taking equal flow at the junction of adjacent seepage areas as a boundary condition to obtain a comprehensive flow equation; and (5) utilizing the comprehensive flow equation to predict the productivity. According to the method and the device, the characteristics of heterogeneous distribution of permeability and crack development of the reservoir of the buried hill gas field can be considered, and the accurate prediction of the productivity is realized.

Description

Productivity prediction method and device suitable for heterogeneous buried hill gas reservoir
Technical Field
The invention relates to the field of oil and gas field development, in particular to a capacity prediction method and a capacity prediction device suitable for a heterogeneous buried hill gas reservoir.
Background
In recent years, the buried hill fracture oil and gas reservoir has become an important exploration and development field for searching new oil and gas fields in the petroleum geology field at home and abroad, and the buried hill fracture oil and gas reservoir has gradually become the reserve and yield take-over area with the most potential in China's marine oil country. The buried hill fractured oil and gas reservoir has a complex fracture network and a reservoir space, the reservoir layer has strong heterogeneity, and the characteristics are the key and difficult points of the buried hill fractured oil and gas reservoir.
Most of the existing productivity research methods are based on homogeneous conditions, so that when the conventional productivity research method is applied to a buried hill oil and gas reservoir, the characteristics of strong heterogeneity and crack development of the reservoir cannot be fully represented.
Based on the method, the productivity prediction method suitable for the hidden mountain gas reservoir is provided, and the productivity of the hidden mountain gas reservoir can be more accurately predicted by considering the characteristics of heterogeneous distribution of reservoir permeability and crack development.
Disclosure of Invention
The invention aims to provide a productivity prediction method and a device suitable for a buried hill gas reservoir.
In order to achieve the above object, an embodiment of the present invention provides a method for predicting productivity of a buried hill gas reservoir, which can consider the characteristics of heterogeneous permeability distribution and crack development of a reservoir to accurately predict productivity.
The specific technical scheme of the embodiment of the invention is as follows:
a capacity prediction method suitable for a heterogeneous buried hill gas reservoir comprises the following steps:
(1) dividing the gas reservoir into N seepage areas along the radial direction of a borehole, wherein the N seepage areas are distributed in a concentric ring shape, and acquiring the permeability of the N seepage areas;
(2) establishing an Nth flow equation by taking a radial seepage physical process of flowing from the outer boundary of the Nth seepage area to the outer boundary of the Nth-1 seepage area as a research object; establishing an N-1 flow equation by taking a radial seepage physical process of flowing from the outer boundary of the N-1 seepage area to the outer boundary of the N-2 seepage area as a research object; performing column pushing until a second flow equation of radial seepage of the outer boundary of the second seepage area to the outer boundary of the first seepage area is established, wherein the well hole is positioned at the center of the circle of the first seepage area; establishing a first flow equation by taking a seepage physical process of the outer boundary of the first seepage area flowing to a borehole as a research object;
(3) overlapping the Nth flow equation to the first flow equation by taking equal flow at the junction of adjacent seepage areas as a boundary condition, and obtaining a comprehensive flow equation corresponding to a seepage process of flowing to a borehole from the outer boundary of the Nth seepage area;
(4) and (5) utilizing the comprehensive flow equation to predict the productivity.
In a preferred embodiment, for a seepage area for crack development, the seepage area is divided into crack seepage and matrix seepage, the seepage resistance of a matrix and the seepage resistance of a crack are obtained, and the comprehensive seepage resistance of the seepage area for crack development is calculated by using a parallel connection method in an equivalent seepage resistance method.
In a preferred embodiment, the fracture is divided into closed seam and shear fractures, and a comprehensive permeability and permeability calculation model of the fracture development area is established by considering the influence of the formation pressure on the fracture and the difference of the fracture formation mechanisms.
In addition, this application still provides a productivity prediction device suitable for hidden mountain gas reservoir, includes:
the gas reservoir is divided into N seepage areas along the radial direction of a borehole by a dividing module, the N seepage areas are distributed in a concentric ring shape, and the permeability of the N seepage areas is obtained;
the flow equation establishing module is used for establishing an Nth flow equation by taking a radial seepage physical process of flowing from the outer boundary of the Nth seepage area to the N-1 th seepage area as a research object; establishing an N-1 flow equation by taking a radial seepage physical process of flowing from the outer boundary of the N-1 seepage area to the outer boundary of the N-2 seepage area as a research object; performing column pushing until a second flow equation of radial seepage of the outer boundary of the second seepage area to the outer boundary of the first seepage area is established, wherein the well hole is positioned at the center of the circle of the first seepage area; establishing a first flow equation by taking a seepage physical process of the outer boundary of the first seepage area flowing to a borehole as a research object;
the coupling module is used for superposing an Nth flow equation to the first flow equation by taking equal flow at the junction of adjacent seepage areas as a boundary condition, and acquiring a comprehensive flow equation corresponding to a seepage process of flowing to a well hole from the outer boundary of the Nth seepage area;
and the prediction module is used for predicting the productivity by utilizing the comprehensive flow equation.
In a preferred embodiment, the apparatus further comprises a comprehensive seepage resistance calculating unit, wherein the comprehensive seepage resistance calculating unit is used for:
and for the seepage area where the crack develops, dividing the seepage area into the crack seepage and the matrix seepage, acquiring the seepage resistance of the matrix and the seepage resistance of the crack, and calculating the comprehensive seepage resistance of the seepage area where the crack develops by using a parallel connection method in an equivalent seepage resistance method.
In a preferred embodiment, the apparatus further comprises a comprehensive seepage resistance calculating unit, wherein the comprehensive seepage resistance calculating unit is used for:
considering the influence of the formation pressure on the fracture and the difference of fracture forming mechanisms, dividing the fracture into closed suture and sheared fracture, and establishing a comprehensive permeability calculation model of a fracture development area.
In summary, the invention has the following advantages: the improved technical scheme is that the characteristics of the permeability heterogeneous distribution and the crack development of the buried hill gas reservoir are fully considered, a productivity prediction equation is established, and the prediction model is closer to the actual stratum condition, so that the accuracy of productivity prediction is facilitated.
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FIG. 1 is a schematic diagram of a physical model of the present invention;
Detailed Description
The details of the present invention can be more clearly understood in conjunction with the accompanying drawings and the description of the embodiments of the present invention. However, the specific embodiments of the present invention described herein are for the purpose of illustration only and are not to be construed as limiting the invention in any way. Any possible variations based on the present invention may be conceived by the skilled person in the light of the teachings of the present invention, and these should be considered to fall within the scope of the present invention.
In order to research the seepage rule of the hidden mountain gas reservoir, a corresponding physical model needs to be established firstly, and the physical model established in the application has the following conditions: the reservoir is circular, the thickness of the reservoir is equal in the vertical direction, the well hole is positioned in the center of the circular reservoir, the heterogeneous effect of the reservoir is represented by the fact that annular regions with different permeability rates are presented in the radial direction, and gas seepage flows to the well hole gradually from the outer boundary which is farthest away from the well hole in the radial direction. Gas seepage satisfies the basic Darcy's law, and is a single-phase gas isothermal flow in the process of flowing.
In order to improve the accuracy of predicting the productivity of the hidden mountain gas reservoir, the application provides a productivity prediction method suitable for the heterogeneous hidden mountain gas reservoir, and the method comprises the following steps:
(1) dividing the gas reservoir into N seepage areas along the radial direction of a borehole, wherein the N seepage areas are distributed in a concentric ring shape, and acquiring the permeability of the N seepage areas;
(2) establishing an Nth flow equation by taking a radial seepage physical process of flowing from the outer boundary of the Nth seepage area to the outer boundary of the Nth-1 seepage area as a research object; establishing an N-1 flow equation by taking a radial seepage physical process of flowing from the outer boundary of the N-1 seepage area to the outer boundary of the N-2 seepage area as a research object; performing column pushing until a second flow equation of radial seepage of the outer boundary of the second seepage area to the outer boundary of the first seepage area is established, wherein the well hole is positioned at the center of the circle of the first seepage area; establishing a first flow equation by taking a seepage physical process of the outer boundary of the first seepage area flowing to a borehole as a research object;
(3) overlapping the Nth flow equation to the first flow equation by taking equal flow at the junction of adjacent seepage areas as a boundary condition, and obtaining a comprehensive flow equation corresponding to a seepage process of flowing to a borehole from the outer boundary of the Nth seepage area;
(4) and (5) utilizing the comprehensive flow equation to predict the productivity.
In one embodiment, three regions with different heterogeneous permeabilities are selected, and the capacity prediction model of the heterogeneous gas reservoir is established according to the method.
During the flow from the outer boundary of zone 3 to the outer boundary of zone 2, the flow equation is:
Figure BDA0003252152320000051
during the flow from the outer boundary of zone 2 to the outer boundary of zone 1, the flow equation is:
Figure BDA0003252152320000052
during flow from the outer boundary of zone 1 to the wellbore, the flow equation is:
Figure BDA0003252152320000053
in the formulas (1) to (3), Q is flow, K is permeability, h is reservoir thickness, psi is boundary supply pressure, mu is viscosity, R is the radius length of the seepage zone, and subscripts 1 to 3 are the serial numbers of the seepage zone.
The boundary supply pressure equation considers the comprehensive parameters of the influence of pressure, deviation factor and viscosity on the gas properties, and the change rule is as follows:
when the pressure is low, i.e., the pressure is less than 13.8MPa, the boundary supply pressure formula is:
Figure BDA0003252152320000054
when the pressure is low, i.e., the pressure is greater than 13.8MPa, the boundary supply pressure formula is:
Figure BDA0003252152320000055
where pi is the formation pressure, pwf is the bottom hole pressure, and μ i and Zi are the gas viscosity and gas bias factor for the pressure pi, respectively.
Since the flow rates at the intersection of the three regions are equal, i.e., the relationship Q1Q 2Q 3 exists, the following relationship holds:
Figure BDA0003252152320000061
convert the above formula into
Figure BDA0003252152320000062
For equation (5), when the permeability is selected to be the same value, the equation can be simplified to the equation for calculating the capacity of the homogeneous gas reservoir permeability.
For the crack development area, the solution method of the permeability is as follows: and (3) regarding the cracks as double media, namely the matrix and the cracks, and describing the matrix seepage resistance and the crack seepage resistance respectively by adopting a seepage resistance method.
Matrix seepage resistance of
Figure BDA0003252152320000063
In the formula, Rm is matrix seepage resistance, Km is matrix permeability, Rout is the length of the outer boundary radius of the seepage area, and Rinner is the length of the inner boundary of the seepage area.
The fracture seepage resistance is
Figure BDA0003252152320000064
In the formula, Rf is fracture seepage resistance, Kf is fracture permeability, n is fracture number, wf is fracture width, Rout is seepage area outer boundary radius length, and Rinner is seepage area inner boundary length.
When gas flows through the substrate region and the fracture region, the percolation process is equivalent to Rm in parallel with Rf,
the seepage resistance Rt can therefore be expressed as:
Figure BDA0003252152320000071
wherein Rf is the comprehensive seepage resistance of the crack development area.
Figure BDA0003252152320000072
According to the formula (2.4), the comprehensive permeability Kt of the crack development area can be obtained through the seepage resistance Rt of the crack development area, and the permeability of each area is substituted by the permeability Kt, so that the final capacity can be obtained. By utilizing the established capacity prediction method, the influence of the most productive capacity of the parameters of matrix permeability, crack number, crack width and crack permeability can be analyzed, so that the field production optimization is known.
In another preferred embodiment, the influence of the formation pressure on the fracture and the difference of the fracture forming mechanism are considered, the fracture is divided into closed seam shearing seams, and a comprehensive permeability calculation model of the fracture development area is established.
Figure BDA0003252152320000073
Figure BDA0003252152320000074
Figure BDA0003252152320000075
kf is the overall permeability of the fracture growth zone, kx is the permeability component of the fracture growth zone in the x-direction, ky is the permeability component of the fracture growth zone in the y-direction, fx and fy are the frequency of closing the fracture in the x-direction and the y-direction, respectively, br is the residual width of the fracture, bmax is the maximum fracture width under pressure, σ x is the component of positive stress in the x-direction, σ y is the component of positive stress in the y-direction, α x is the component of the pressure coefficient α in the x-direction, α y is the component of the pressure coefficient α in the x-direction, β x is the component of the pressure coefficient β in the x-direction, α y is the component of the pressure coefficient β in the x-direction, fdx and fdy are the frequency of shearing the fracture in the x-direction and the y-direction, respectively, dmax is the maximum fracture width after shear failure, γ x and γ y are the shear coefficients in the x-direction and the y-direction, respectively, k is the stress ratio in the x-direction and the y-direction, and ke is the critical pressure ratio at rock failure.
The invention has the following advantages: the improved technical scheme is that the characteristics of strong heterogeneity and crack development of the buried hill gas reservoir are fully considered, so that a productivity prediction model which is more in line with the actual situation of the stratum is established, the prediction model is helpful for further understanding the heterogeneous seepage rule of the buried hill gas reservoir, and theoretical guidance is provided for field production at any time.
While the present invention has been described in detail with reference to the illustrated embodiments, it should not be construed as limited to the scope of the present patent. Various modifications and changes may be made by those skilled in the art without inventive step within the scope of the appended claims.

Claims (6)

1. A capacity prediction method suitable for a hidden mountain gas reservoir comprises the following steps:
(1) dividing the gas reservoir into N seepage areas along the radial direction of a borehole, wherein the N seepage areas are distributed in a concentric ring shape, and acquiring the permeability of the N seepage areas;
(2) establishing an Nth flow equation by taking a radial seepage physical process of flowing from the outer boundary of the Nth seepage area to the outer boundary of the Nth-1 seepage area as a research object; establishing an N-1 flow equation by taking a radial seepage physical process of flowing from the outer boundary of the N-1 seepage area to the outer boundary of the N-2 seepage area as a research object; performing column pushing until a second flow equation of radial seepage of the outer boundary of the second seepage area to the outer boundary of the first seepage area is established, wherein the well hole is positioned at the center of the circle of the first seepage area; establishing a first flow equation by taking a seepage physical process of the outer boundary of the first seepage area flowing to a borehole as a research object;
(3) overlapping the Nth flow equation to the first flow equation by taking equal flow at the junction of adjacent seepage areas as a boundary condition, and obtaining a comprehensive flow equation corresponding to a seepage process of flowing to a borehole from the outer boundary of the Nth seepage area;
(4) and (5) utilizing the comprehensive flow equation to predict the productivity.
2. The productivity prediction method for a hidden mountain air reservoir as claimed in claim 1, for the seepage area of crack development, dividing the seepage area into crack seepage and matrix seepage, obtaining the matrix seepage resistance and the crack seepage resistance, and calculating the comprehensive seepage resistance of the seepage area of crack development by using a parallel method in an equivalent seepage resistance method.
3. The productivity prediction method for a hidden mountain gas reservoir as claimed in claim 1, wherein the fracture is divided into closed seam and shear fracture by considering the influence of formation pressure on the fracture and the difference of fracture formation mechanisms, and a comprehensive permeability and permeability calculation model of the fracture development area is established.
4. A productivity prediction device suitable for a buried hill gas reservoir comprises:
the gas reservoir is divided into N seepage areas along the radial direction of a borehole by a dividing module, the N seepage areas are distributed in a concentric ring shape, and the permeability of the N seepage areas is obtained;
the flow equation establishing module is used for establishing an Nth flow equation by taking a radial seepage physical process of flowing from the outer boundary of the Nth seepage area to the N-1 th seepage area as a research object; establishing an N-1 flow equation by taking a radial seepage physical process of flowing from the outer boundary of the N-1 seepage area to the outer boundary of the N-2 seepage area as a research object; performing column pushing until a second flow equation of radial seepage of the outer boundary of the second seepage area to the outer boundary of the first seepage area is established, wherein the well hole is positioned at the center of the circle of the first seepage area; establishing a first flow equation by taking a seepage physical process of the outer boundary of the first seepage area flowing to a borehole as a research object;
the coupling module is used for superposing an Nth flow equation to the first flow equation by taking equal flow at the junction of adjacent seepage areas as a boundary condition, and acquiring a comprehensive flow equation corresponding to a seepage process of flowing to a well hole from the outer boundary of the Nth seepage area;
and the prediction module is used for predicting the productivity by utilizing the comprehensive flow equation.
5. The productivity prediction device for a hidden mountain air reservoir of claim 4, further comprising a comprehensive seepage resistance calculation unit, wherein the comprehensive seepage resistance calculation unit is configured to:
and for the seepage area where the crack develops, dividing the seepage area into the crack seepage and the matrix seepage, acquiring the seepage resistance of the matrix and the seepage resistance of the crack, and calculating the comprehensive seepage resistance of the seepage area where the crack develops by using a parallel connection method in an equivalent seepage resistance method.
6. The productivity prediction device for a hidden mountain air reservoir of claim 4, further comprising a comprehensive seepage resistance calculation unit, wherein the comprehensive seepage resistance calculation unit is configured to:
considering the influence of the formation pressure on the fracture and the difference of fracture forming mechanisms, dividing the fracture into closed suture and sheared fracture, and establishing a comprehensive permeability calculation model of a fracture development area.
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Publication number Priority date Publication date Assignee Title
CN115822562A (en) * 2022-12-28 2023-03-21 中海石油(中国)有限公司海南分公司 Longitudinal heterogeneous gas reservoir capacity evaluation method considering in-layer cross flow

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