CN117744414B - Nitrogen injection amount determination method for nitrogen purging and energy supplementing - Google Patents

Nitrogen injection amount determination method for nitrogen purging and energy supplementing Download PDF

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CN117744414B
CN117744414B CN202410186262.5A CN202410186262A CN117744414B CN 117744414 B CN117744414 B CN 117744414B CN 202410186262 A CN202410186262 A CN 202410186262A CN 117744414 B CN117744414 B CN 117744414B
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gas
nitrogen
reservoir
pressure
unit
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CN117744414A (en
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谭晓华
庄代近
江智强
李紫莉
何赟
王宪文
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Chengdu Yingwoxin Technology Co ltd
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Abstract

The invention belongs to the field of gas field development, and particularly relates to a nitrogen injection amount determination method for nitrogen gas dispelling and energy supplementing; in the invention, the underground volume of the gas reservoir is compared with different conditions before and after exploitation to establish a physical model of the gas reservoir for nitrogen flooding and energy supplementing, a mathematical model of the gas reservoir for nitrogen flooding and energy supplementing is obtained by respectively defining and combining calculation methods of each part, iterative calculation is carried out on the mathematical model, a relation diagram of nitrogen injection quantity and formation pressure is drawn according to the pressure obtained by calculation of the nitrogen injection quantity and the corresponding calculation, the formation pressure is restored to a specific pressure value according to the formation energy required to be supplemented for nitrogen flooding and energy supplementing, and the injection quantity of nitrogen is determined by substituting the specific pressure value into the relation diagram of the nitrogen injection quantity and the formation pressure. The method has theoretical rationality and practical production application value in practical application of gas reservoir extraction.

Description

Nitrogen injection amount determination method for nitrogen purging and energy supplementing
Technical Field
The invention belongs to the field of gas field development, and particularly relates to a nitrogen injection amount determination method for nitrogen gas dispelling and energy supplementing.
Background
At present, nitrogen is widely applied in the aspect of improving recovery ratio in gas field development, and has great advantages in the aspects of reservoir reformation, gas reservoir energy increasing and emission assisting and the like, wherein for improving the recovery ratio of the gas reservoir by injecting nitrogen, the determination of the injection amount of nitrogen is the key point in the current gas reservoir development. For nitrogen flooding, a set of feasible and standard-precision method for determining the injection amount of nitrogen in a gas flooding gas reservoir is not formed at home at present. In the invention, the underground volume of the gas reservoir is divided into four parts by utilizing different conditions before and after exploitation, and by respectively defining and combining the calculation methods of each part, the invention provides a nitrogen injection amount determination method for nitrogen flooding and energy supplementing, which has theoretical rationality and practical production application value in practical application of gas reservoir extraction.
Disclosure of Invention
The invention aims at: in order to solve the practical application problem of nitrogen flooding energy in the gas reservoir development process, the physical model and the mathematical model of the gas reservoir are built for nitrogen flooding energy, and the nitrogen injection quantity under different pressure requirements is calculated and determined. The novel method can effectively determine the nitrogen injection quantity of nitrogen gas dispelling and supplementing energy, is beneficial to subsequent gas field development and design, makes a reasonable production plan, and provides technical support for making an effective development scheme.
In order to achieve the above object, the present invention provides a nitrogen injection amount determining method for nitrogen purging and energy supplementing, comprising the steps of:
firstly, establishing a gas reservoir physical model for nitrogen gas dispelling and energy supplementing;
Step two, respectively defining calculation formulas of all parts, substituting the calculation formulas into a physical model to obtain a gas reservoir mathematical model;
thirdly, carrying out iterative computation on the mathematical model;
Fourthly, drawing a relation chart of the nitrogen injection amount and the formation pressure according to the accumulated injection amount G in of the nitrogen and the gas reservoir formation pressure p obtained by calculation corresponding to the accumulated injection amount G in of the nitrogen;
Fifthly, according to the stratum energy which needs to be supplemented by the nitrogen gas dispelling and supplementing energy, namely the stratum pressure is restored to a specific pressure value, and the stratum pressure is substituted into a relation chart of the nitrogen gas injection quantity and the stratum pressure, and the injection quantity of the nitrogen gas is determined.
Compared with the prior art, the invention has the following beneficial effects: (1) The application range is wide, and the method can be applied to gas reservoirs under different conditions; the calculation method is convenient and effective, and the working efficiency is high; and (3) the calculation method is easy to popularize.
Drawings
In the drawings:
FIG. 1 is a technical roadmap of the method;
FIG. 2 is a diagram of a physical model of nitrogen purge and energy make-up;
FIG. 3 is a graph of X-field nitrogen injection versus formation pressure.
Detailed Description
The invention is further described below with reference to the embodiments and the accompanying drawings;
the invention provides a nitrogen injection amount determining method for nitrogen purging and energy supplementing, which comprises the following steps:
s100: the physical model of the gas reservoir for nitrogen gas expelling and energy supplementing as shown in fig. 2 is established as follows:
Gi+Wi=ΔV1+ΔV2+ΔV3+W
Wherein G i is the volume of the original gas, the unit is m 3;Wi is the volume of the original stratum water, the unit is m 3;ΔV1 is the volume of the residual gas, the unit is m 3;ΔV2 is the expansion volume of the rock and the bound water, the unit is m 3;ΔV3 is the nitrogen injection volume, and the unit is m 3; w is the volume of the residual stratum water, and the unit is m 3;
S200: the calculation formulas of G i、Wi、ΔV1、ΔV2、ΔV3 and W are respectively defined and substituted into the physical model to obtain a mathematical model as follows:
Wherein p is the formation pressure of the gas reservoir, and the unit is MPa; p i is the original formation pressure of the gas reservoir, and the unit is MPa; z is a gas deviation coefficient of natural gas under the formation pressure p of the gas reservoir, and is dimensionless; z i is a gas deviation coefficient of natural gas under the original formation pressure p i of the gas reservoir, and is dimensionless; Is the gas deviation coefficient of nitrogen under the pressure p, and has no dimension; g is the original geological reserve of the natural gas of the gas reservoir, the unit is 10 8m3;Gp is the accumulated extraction amount of the natural gas of the gas reservoir, the unit is 10 8m3;Gin is the accumulated injection amount of nitrogen, and the unit is 10 8m3; a is a reservoir heterogeneity factor, dimensionless, characterizing the degree of reservoir heterogeneity and the lateral heterogeneity of reservoir permeability, expressed as/> K + is the dimensionless permeability ratio, specifically the ratio between the permeability of the high permeability region and the permeability of the low permeability region in the reservoir, V + is the dimensionless volume ratio, specifically the ratio between the volume of the high permeability region and the volume of the low permeability region in the reservoir; omega is the volume coefficient of reservoir water, dimensionless, expressed as/>W e is the volume of the invaded water, the unit is 10 8m3,Bw is the volume coefficient of formation water under the formation pressure p of the gas reservoir, B gi is the volume coefficient of natural gas under the original formation pressure p i of the gas reservoir, W p is the volume of the accumulated water yield, the unit is 10 8m3;Cf is the rock compression coefficient, the unit is MPa -1;Cw is the formation water compression coefficient, the unit is MPa -1;Swi is the original water saturation of the formation, and the dimensionless is achieved; s gi is the original gas saturation of the stratum, and is dimensionless;
X-field reservoir heterogeneity factor a=0.6, reservoir water volume coefficient ω=0.2, rock compression coefficient C f=0.00005MPa-1, formation water compression coefficient C w=0.00095MPa-1, formation raw water saturation S wi =0.513, formation raw gas saturation S gi =0.487, reservoir natural gas cumulative recovery gp=3.8×10 8m3, reservoir natural gas raw geological reserve g=4.8×10 8m3, reservoir raw formation pressure p i =42 MPa;
s300: the mathematical model is subjected to iterative computation by combining the related parameters of the X gas field, and a relation diagram of the accumulated injection amount of the nitrogen of the X gas field and the formation pressure of the gas reservoir is drawn, as shown in figure 3, and the specific steps are as follows:
S3001: the initial value of the pressure is the original stratum pressure p i of the gas reservoir, and the initial value of the accumulated injection quantity G in of the nitrogen is 0;
S3002: substituting the gas reservoir original formation pressure p i, calculating a gas deviation coefficient Z i and a natural gas deviation coefficient Z of natural gas under the gas reservoir original formation pressure p i by using a DAK method, and calculating a nitrogen gas deviation coefficient by using a DUAN prediction model
S3003: calculating new gas reservoir stratum pressure p by substituting reservoir related parameters G p、G、Cf、Cw、Swi、Sgi, A and omega into a mathematical model, wherein p 1 =p;
S3004: substituting p 1 to calculate new natural gas deviation coefficient Z 1 and nitrogen deviation coefficient Substituting the reservoir related parameters G p、G、Cf、Cw、Swi、Sgi, A and omega into the new gas reservoir stratum pressure p=p 2;
S3005: repeating steps S3002-S3004 with p 2 as the new initial value of pressure until p 2-p1 is less than 0.0001;
S3006: outputting the pressure p at the moment;
S3007: increasing the nitrogen injection amount G in by 0.1X10 8m3, and repeating the steps S3002-S3006 until the pressure p output by S3006 is more than or equal to the reservoir overburden formation pressure p s,ps=1.1pi;
s400: drawing a relation diagram of the nitrogen injection amount and the formation pressure according to the nitrogen accumulated injection amount G in and the pressure p obtained by corresponding calculation;
S500: and (3) according to the stratum energy which is needed to be supplemented by the nitrogen gas dispelling and supplementing energy, namely, restoring the stratum pressure to a specific pressure value, substituting the stratum pressure into a relation diagram of the nitrogen gas injection amount and the stratum pressure, and determining the injection amount of the nitrogen gas.
Compared with the prior art, the invention has the following beneficial effects: (1) The application range is wide, and the method can be applied to gas reservoirs under different conditions; the calculation method is convenient and effective, and the working efficiency is high; and (3) the calculation method is easy to popularize.
Finally, what should be said is: the above embodiments are only for illustrating the technical aspects of the present invention, and although the present invention has been described in detail with reference to the above embodiments, it should be understood by those skilled in the art that: modifications and equivalents may be made thereto without departing from the spirit and scope of the invention, which is intended to be encompassed by the claims.

Claims (1)

1. The nitrogen injection amount determining method for nitrogen purging and energy supplementing is characterized by comprising the following steps of:
S100: the physical model of the gas reservoir for nitrogen gas expelling and energy supplementing is established as follows:
Gi+Wi=ΔV1+ΔV2+ΔV3+W
Wherein G i is the volume of the original gas, the unit is m 3;Wi is the volume of the original stratum water, the unit is m 3;ΔV1 is the volume of the residual gas, the unit is m 3;ΔV2 is the expansion volume of the rock and the bound water, the unit is m 3;ΔV3 is the nitrogen injection volume, and the unit is m 3; w is the volume of the residual stratum water, and the unit is m 3;
S200: the calculation formulas of G i、Wi、ΔV1、ΔV2、ΔV3 and W are respectively defined and substituted into the physical model to obtain a mathematical model as follows:
Wherein p is the formation pressure of the gas reservoir, and the unit is MPa; p i is the original formation pressure of the gas reservoir, and the unit is MPa; z is a gas deviation coefficient of natural gas under the formation pressure p of the gas reservoir, and is dimensionless; z i is a gas deviation coefficient of natural gas under the original formation pressure p i of the gas reservoir, and is dimensionless; Is the gas deviation coefficient of nitrogen under the pressure p, and has no dimension; g is the original geological reserve of the natural gas of the gas reservoir, the unit is 10 8m3;Gp is the accumulated extraction amount of the natural gas of the gas reservoir, the unit is 10 8m3;Gin is the accumulated injection amount of nitrogen, and the unit is 10 8m3; a is a reservoir heterogeneity factor, dimensionless, characterizing the degree of reservoir heterogeneity and the lateral heterogeneity of reservoir permeability, expressed as/> K + is the dimensionless permeability ratio, specifically the ratio between the permeability of the high permeability region and the permeability of the low permeability region in the reservoir, V + is the dimensionless volume ratio, specifically the ratio between the volume of the high permeability region and the volume of the low permeability region in the reservoir; omega is the volume coefficient of reservoir water, dimensionless, expressed as/>W e is the volume of the invaded water, the unit is 10 8m3,Bw is the volume coefficient of formation water under the formation pressure p of the gas reservoir, B gi is the volume coefficient of natural gas under the original formation pressure p i of the gas reservoir, W p is the volume of the accumulated water yield, the unit is 10 8m3;Cf is the rock compression coefficient, the unit is MPa -1;Cw is the formation water compression coefficient, the unit is MPa -1;Swi is the original water saturation of the formation, and the dimensionless is achieved; s gi is the original gas saturation of the stratum, and is dimensionless;
S300: carrying out iterative computation on the mathematical model, and drawing a relation diagram of the accumulated injection amount of nitrogen and the formation pressure of the gas reservoir, wherein the specific steps are as follows:
S3001: the initial value of the pressure is the original stratum pressure p i of the gas reservoir, and the initial value of the accumulated injection quantity G in of the nitrogen is 0;
s3002: substituting the gas reservoir original formation pressure p i, calculating a gas deviation coefficient Z i and a natural gas deviation coefficient Z of natural gas under the gas reservoir original formation pressure p i by using a DAK method, and calculating a nitrogen gas deviation coefficient by using a DUAN prediction model
S3003: calculating new gas reservoir stratum pressure p by substituting reservoir related parameters G p、G、Cf、Cw、Swi、Sgi, A and omega into a mathematical model, wherein p 1 =p;
S3004: substituting p 1 to calculate new natural gas deviation coefficient Z 1 and nitrogen deviation coefficient Substituting the reservoir related parameters G p、G、Cf、Cw、Swi、Sgi, A and omega into the new gas reservoir stratum pressure p=p 2;
S3005: repeating steps S3002-S3004 with p 2 as the new initial value of pressure until p 2-p1 is less than 0.0001;
S3006: outputting the pressure p at the moment;
S3007: increasing the nitrogen injection amount G in by 0.1X10 8m3, and repeating the steps S3002-S3006 until the pressure p output by S3006 is more than or equal to the reservoir overburden formation pressure p s,ps=1.1pi;
s400: drawing a relation diagram of the nitrogen injection amount and the formation pressure according to the nitrogen accumulated injection amount G in and the pressure p obtained by corresponding calculation;
S500: and (3) according to the stratum energy which is needed to be supplemented by the nitrogen gas dispelling and supplementing energy, namely, restoring the stratum pressure to a specific pressure value, substituting the stratum pressure into a relation diagram of the nitrogen gas injection amount and the stratum pressure, and determining the injection amount of the nitrogen gas.
CN202410186262.5A 2024-02-20 2024-02-20 Nitrogen injection amount determination method for nitrogen purging and energy supplementing Active CN117744414B (en)

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CN113898338A (en) * 2021-10-26 2022-01-07 北京科技大学 Unconventional gas reservoir starting pressure gradient determination method and device
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