CN107366529B - Heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method - Google Patents

Heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method Download PDF

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CN107366529B
CN107366529B CN201710511171.4A CN201710511171A CN107366529B CN 107366529 B CN107366529 B CN 107366529B CN 201710511171 A CN201710511171 A CN 201710511171A CN 107366529 B CN107366529 B CN 107366529B
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permeability
liquid production
production index
mathematic
representation
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CN107366529A (en
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邴绍献
陈朝晖
张海燕
肖武
孙成龙
张超
徐永春
刘新秀
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China Petroleum and Chemical Corp
Exploration and Development Research Institute of Sinopec Henan Oilfield Branch Co
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China Petroleum and Chemical Corp
Exploration and Development Research Institute of Sinopec Henan Oilfield Branch Co
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    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/16Enhanced recovery methods for obtaining hydrocarbons
    • E21B43/20Displacing by water

Abstract

The present invention provides a kind of heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method, comprising: carries out indoor flood pot test under the conditions of different permeabilities, permeability grade;According to experimental data, the mathematic(al) representation of Dimensionless liquid production index and moisture content is established in analysis, and expression formula coefficient is a, b, c;Mathematic(al) representation coefficient a, b, c of Dimensionless liquid production index and moisture content and the mathematic(al) representation of permeability are established, expression formula coefficient is A1、A2、B1、B2、C1、C2;Establish A1、A2、B1、B2、C1、C2With the mathematic(al) representation of permeability grade;Formed Dimensionless liquid production index and permeability, permeability grade, moisture content mathematic(al) representation.This method can sufficiently reflect the influence of oil and water zonation and change procedure to liquid-producing capacity in stratum caused by the reservoir of mining site objective reality, enhance Dimensionless liquid production index curve to the directive function of mining site Development Practice.

Description

Heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method
Technical field
The present invention relates to oil field development technical field, especially relate to a kind of heterogeneous water-drive pool zero dimension and adopt liquid to refer to Number curve characterizing method.
Background technique
The water drive that reservoir heterogeneity and grease viscosity differences reduce oil reservoir involves degree, cause oil well shift to an earlier date water breakthrough and Yield is significantly successively decreased after water breakthrough.It keeps rationally producing liquid scale being the important act for delaying production decline in the water controlled field ultra-high water-containing stage One of arrange.Currently, in mining site development and production mainly using the grease phase percolation curve of laboratory test core test calculate it is no because Secondary fluid productivity index determines the reasonable Liquid output size in oil field as theoretical foundation with the changing rule of moisture content.But it is calculated Dimensionless liquid production index it is only related with moisture content, do not consider due to reservoir properties it is heterogeneous caused by oil and water zonation in stratum Influence with change procedure to liquid-producing capacity.That is, water drive oil mode in rock core and three-dimensional heterogeneous reservoir exist compared with Big difference, the Dimensionless liquid production index curve theory algorithm based on rock core phase percolation curve are not particularly suited for true oil reservoir.Thus I Invented a kind of new heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method, solve the above technical problem.
Summary of the invention
The object of the present invention is to provide one kind can be with Dimensionless liquid production index under accurate characterization oil reservoir heterogeneous conditions with containing The heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method of water rate changing rule.
The purpose of the present invention can be achieved by the following technical measures: heterogeneous water-drive pool Dimensionless liquid production index curve Characterizing method, which includes: step 1, carry out different permeabilities, Indoor flood pot test under the conditions of permeability grade;Step 2, according to experimental data, analysis is established Dimensionless liquid production index and is contained The mathematic(al) representation of water rate, expression formula coefficient are a, b, c;Step 3, the mathematical expression of Dimensionless liquid production index and moisture content is established The mathematic(al) representation of formula coefficient a, b, c and permeability, expression formula coefficient are A1、A2、B1、B2、C1、C2;Step 4, A is established1、A2、 B1、B2、C1、C2With the mathematic(al) representation of permeability grade;Step 5, Dimensionless liquid production index and permeability, permeability grade are formed The mathematic(al) representation of difference, moisture content.
The purpose of the present invention can be also achieved by the following technical measures:
In step 1, carry out indoor single pipe flood pot test under the conditions of different permeabilities;Carry out different permeability grade items Indoor multitube parallel flood pot test under part provides sample data for Dimensionless liquid production index curve characterization.
In step 1, different infiltrations are made using with identical mineral composition, the quartz sand of different grain size distribution and clay The back-up sand simulation core of rate carries out the unstable state flood pot test of single tube, two-tube parallel connection respectively under the conditions of constant pressure difference, simulation Rock core gas permeability is from 595x 10-3μm2To 6232x 10-3μm2, the permeability grade of parallel core is up to 8.7, configuration White oil viscosity be 15mPas, simulated formation water salinity is 3000PPM, viscosity 1mPas.
In step 2, every group of experimental data Dimensionless liquid production index-moisture content changing rule is analyzed, foundation is generally fitted Dimensionless liquid production index-moisture content mathematic(al) representation:
In formula: JLD- Dimensionless liquid production index;Fw-moisture content;A, b, c-coefficient.
In step 3, it analyzes Dimensionless liquid production index-moisture content mathematic(al) representation coefficient similar in permeability grade and seeps The changing rule of saturating rate, establishes the once linear expression formula of a, b, c and permeability:
In formula: K-permeability, 10-3μm2;A1、A2、B1、B2、C1、C2- coefficient.
In step 4, under the conditions of analyzing different permeability grades, coefficient A1、A2、B1、B2、C1、C2With permeability grade Changing rule establishes A1、A2、B1、B2、C1、C2With the mathematic(al) representation of permeability grade:
B1=-0.0004KD B2=1.1925KD-1.1108
C1=0.0003KD C2=-0.6905KD+1.3529
In formula: KD- permeability grade, decimal.
In steps of 5, Dimensionless liquid production index J is establishedLDWith permeability, permeability grade, moisture content mathematic(al) representation:
In formula, K-permeability;
KD- permeability grade, decimal;
Fw-moisture content.
Heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method in the present invention is related to oil field development technology neck Domain more particularly to reservoir engineering empirical method, i.e., Dimensionless liquid production index is with water-cut variation under water-drive pool heterogeneous conditions The mathematical character method of rule.This method based on the analysis of the flood pot test data of parallel core, recurrence establish permeability, The equation with many unknowns that permeability grade influences Dimensionless liquid production index with water cut changing law characterizes under oil reservoir heterogeneous conditions Dimensionless liquid production index with moisture content changing rule.
Detailed description of the invention
Fig. 1 is a specific embodiment of heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method of the invention Flow chart;
Fig. 2 is the relation curve of Dimensionless liquid production index and moisture content in a specific embodiment of the invention;
Fig. 3 is the relation curve of a, b, c and permeability in a specific embodiment of the invention;
Fig. 4 is A in a specific embodiment of the invention1、A2、B1、B2、C1、C2With the relation curve of permeability grade.
Specific embodiment
To enable above and other objects, features and advantages of the invention to be clearer and more comprehensible, preferably implementation is cited below particularly out Example, and cooperate shown in attached drawing, it is described in detail below.
As shown in FIG. 1, FIG. 1 is the processes of heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method of the invention Figure.
Step 101, carry out indoor flood pot test under the conditions of different permeabilities, permeability grade.Carry out different permeabilities Under the conditions of indoor single pipe flood pot test;Carry out indoor multitube parallel flood pot test under the conditions of different permeability grades, is nothing Dimension fluid productivity index curve characterization provides sample data.
Step 103, according to experimental data, the mathematic(al) representation of Dimensionless liquid production index and moisture content, expression are established in analysis Formula coefficient is a, b, c.Every group of experimental data Dimensionless liquid production index-moisture content changing rule is analyzed, is established blanket Dimensionless liquid production index-moisture content mathematic(al) representation,
In formula: JLD- Dimensionless liquid production index;Fw-moisture content;A, b, c-coefficient.
Step 105, mathematic(al) representation coefficient a, b, c of Dimensionless liquid production index and moisture content and the mathematics of permeability are established Expression formula, expression formula coefficient are A1、A2、B1、B2、C1、C2
Analyze Dimensionless liquid production index-moisture content mathematic(al) representation coefficient and permeability variation similar in permeability grade Rule establishes the once linear expression formula of a, b, c and permeability.That is,
In formula: K-permeability, 10-3μm2;A1、A2、B1、B2、C1、C2- coefficient.
Step 107, A is established1、A2、B1、B2、C1、C2With the mathematic(al) representation of permeability grade.Analyze different permeability grades Under the conditions of difference, coefficient A1、A2、B1、B2、C1、C2With the changing rule of permeability grade,
Establish A1、A2、B1、B2、C1、C2With the mathematic(al) representation of permeability grade.That is,
B1=-0.0004KD B2=1.1925KD-1.1108
C1=0.0003KD C2=-0.6905KD+1.3529。
In formula: KD- permeability grade, decimal.
Step 109, J is formedLDWith permeability, permeability grade, moisture content mathematic(al) representation.Integrate above-mentioned mathematical expression Formula finally establishes JLDWith permeability, permeability grade, moisture content mathematic(al) representation.That is,
In an application specific embodiment of the invention, comprise the steps that
In step 1, different infiltrations are made using with identical mineral composition, the quartz sand of different grain size distribution and clay The back-up sand simulation core of rate carries out single tube, 31 groups of unstable state flood pot test of two-tube parallel connection respectively under the conditions of constant pressure difference (basic parameter is shown in Table 1).Simulation core gas permeability is from 595x 10-3μm2To 6232x 10-3μm2, the infiltration of parallel core Rate is differential to be up to 8.7.The white oil viscosity of configuration is 15mPas, and simulated formation water salinity is 3000PPM, viscosity is 1mPa·s。
1 physical simulation experiment of table tests basic parameter table
As shown in Fig. 2, to be 595x 10 according to permeability-3μm2The zero dimension that single tube indoor experimental data obtains is adopted liquid and is referred to Number-moisture content relation curve.
In step 2, every group of experimental data Dimensionless liquid production index-moisture content changing rule is analyzed, foundation is generally fitted Dimensionless liquid production index-moisture content mathematic(al) representation
Such as, permeability is 766x 10-3μm2Dimensionless liquid production index-moisture content mathematic(al) representation of single tube experiment are as follows: JLD=-0.5897fw 3+2.8069*fw 2+0.6503*fw+1;
Permeability is 2727x 10-3μm2Dimensionless liquid production index-moisture content mathematic(al) representation of single tube experiment are as follows: JLD =1.4431fw 3+1.1841*fw 2-0.0309*fw+1。
In step 3, it analyzes Dimensionless liquid production index-moisture content mathematic(al) representation coefficient similar in permeability grade and seeps The changing rule of saturating rate, establishes the once linear expression formula of a, b, c and permeability,
As shown in figure 3, Dimensionless liquid production index-plot of water cut coefficient and permeability pass that permeability grade is 8.7 System are as follows:
A=0.00018K+2.20098;
B=-0.00103K+1.58715;
C=0.00033K+1.28637.
In step 4, under the conditions of analyzing different permeability grades, coefficient A1、A2、B1、B2、C1、C2With permeability grade Changing rule establishes A1、A2、B1、B2、C1、C2It is as shown in Figure 4 with the mathematic(al) representation of permeability grade:
B1=-0.0004KD B2=1.1925KD-1.1108
C1=0.0003KD C2=-0.6905KD+1.3529。
In steps of 5, above-mentioned Dimensionless liquid production index-moisture content, coefficient a, b, c and permeability, coefficient A are based on1、A2、 B1、B2、C1、C2With the relationship of permeability grade, J is finally establishedLDWith permeability, permeability grade, moisture content mathematical expression Formula.That is,
The present invention proposes that a kind of consideration reservoir heterogeneity (permeability, permeability grade) influences item to flow through oil reservoir rule Under part, the technical method of Dimensionless liquid production index and permeability, permeability grade, water-cut variation characterization of relation formula is established.It should Method can sufficiently reflect that oil and water zonation and change procedure are to production liquid in stratum caused by the reservoir of mining site objective reality The influence of ability enhances Dimensionless liquid production index curve to the directive function of mining site Development Practice.

Claims (7)

1. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method, which is characterized in that the heterogeneous water-drive pool without Dimension fluid productivity index curve characterizing method includes:
Step 1, carry out indoor flood pot test under the conditions of different permeabilities, permeability grade;
Step 2, according to experimental data, the mathematic(al) representation of Dimensionless liquid production index and moisture content, expression formula coefficient are established in analysis For a, b, c;
Step 3, mathematic(al) representation coefficient a, b, c of Dimensionless liquid production index and moisture content and the mathematical expression of permeability are established Formula, expression formula coefficient are A1、A2、B1、B2、C1、C2
Step 4, A is established1、A2、B1、B2、C1、C2With the mathematic(al) representation of permeability grade;
Step 5, formed Dimensionless liquid production index and permeability, permeability grade, moisture content mathematic(al) representation.
2. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method according to claim 1, which is characterized in that In step 1, carry out indoor single pipe flood pot test under the conditions of different permeabilities;Carry out indoor under the conditions of different permeability grades Multitube parallel flood pot test provides sample data for Dimensionless liquid production index curve characterization.
3. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method according to claim 2, which is characterized in that In step 1, using the back-up sand for making different permeabilities with identical mineral composition, the quartz sand of different grain size distribution and clay Simulation core, carries out the unstable state flood pot test of single tube, two-tube parallel connection respectively under the conditions of constant pressure difference, and simulation core gas is surveyed Permeability is from 595x10-3μm2To 6232x10-3μm2, the permeability grade of parallel core is up to 8.7, the white oil viscosity of configuration For 15mPas, simulated formation water salinity is 3000PPM, viscosity 1mPas.
4. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method according to claim 1, which is characterized in that In step 2, analyze every group of experimental data Dimensionless liquid production index-moisture content changing rule, establish it is blanket it is no because The mathematic(al) representation of secondary fluid productivity index-moisture content:
In formula: JLD- Dimensionless liquid production index;Fw-moisture content;A, b, c-coefficient.
5. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method according to claim 1, which is characterized in that In step 3, Dimensionless liquid production index-moisture content mathematic(al) representation coefficient and permeability change similar in permeability grade is analyzed Law establishes the once linear expression formula of a, b, c and permeability:
In formula: K-permeability, 10-3μm2;A1、A2、B1、B2、C1、C2- coefficient.
6. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method according to claim 1, which is characterized in that In step 4, under the conditions of analyzing different permeability grades, coefficient A1、A2、B1、B2、C1、C2With the changing rule of permeability grade, Establish A1、A2、B1、B2、C1、C2With the mathematic(al) representation of permeability grade:
B1=-0.0004KD B2=1.1925KD-1.1108
C1=0.0003KD C2=-0.6905KD+1.3529
In formula: KD- permeability grade, decimal.
7. heterogeneous water-drive pool Dimensionless liquid production index curve characterizing method according to claim 1, which is characterized in that In steps of 5, Dimensionless liquid production index J is establishedLDWith permeability, permeability grade, moisture content mathematic(al) representation:
In formula, K-permeability;
KD- permeability grade, decimal;
Fw-moisture content.
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