CN109933747A - A kind of quasi- phase infiltration calculation method based on fracture hole mode - Google Patents

A kind of quasi- phase infiltration calculation method based on fracture hole mode Download PDF

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CN109933747A
CN109933747A CN201910042454.8A CN201910042454A CN109933747A CN 109933747 A CN109933747 A CN 109933747A CN 201910042454 A CN201910042454 A CN 201910042454A CN 109933747 A CN109933747 A CN 109933747A
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quasi
fracture hole
hole mode
mutually
calculation method
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赵健男
吕爱民
张建光
刑怀宁
曹沛
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China University of Petroleum East China
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China University of Petroleum East China
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Abstract

The present invention relates to the invention discloses a kind of quasi- phases for fracture hole mode to seep calculation method comprising following steps collect the basic data of selected typical fracture hole mode first and establish two dimensional model;According to Navier-Stokes equation simulation water drive oil process, obtains different time and walk upper flow parameter;It seeks intending mutually seeping initial value under the mode using meteod of instability according to analog result;This is mutually seeped to the business simulation softward that initial value substitutes into based on Darcy formula to be fitted, obtains the quasi- mutually infiltration of relatively accurate fracture hole mode.

Description

A kind of quasi- phase infiltration calculation method based on fracture hole mode
Technical field
The present invention relates to oil-gas field development technical field, specially a kind of quasi- phase based on fracture hole mode seeps calculation method.
Background technique
Fracture hole oil reservoir efficient accurate method for numerical simulation, method one general at present because its strong heterogeneity lacks always Kind is to simulate fracture hole medium, although this kind of method concept is simply convenient for calculating, simulation process mistake using dual media method In simply causing degree of verisimilitude lower;Another method is then that entire fracture-cavity units are regarded as to a disposed of in its entirety, using being similar to The mode of sandstone oil reservoir is fitted, although the analysis of this method is intuitive, fracture-cavity units stronger for heterogeneity are this The effect that fit approach reaches excessively coincidence, subsequent prediction accuracy are poor.
For this purpose, the present invention proposes a kind of calculation method mutually seeped for more junior unit i.e. fracture hole mode, the seam being calculated Hole mode mutually seeps characteristic sub-area and is assigned to fracture-cavity units, greatlys save subsequent fitting predicted time, also improves simulation accuracy.
Summary of the invention
The purpose of the present invention is to provide a kind of, and the quasi- phase based on fracture hole mode seeps calculation method, passes through N-S equation calculation Fracture hole mode water drive oil dynamic parameter, the quasi- phase for recycling dynamic parameter to calculate fracture hole mode seep initial value, which is substituted into number It is fitted Production development in value simulation softward and obtains relatively accurate quasi- phase infiltration, is suitable for fracture hole reservoir numerical simulation and parameter is excellent Change.
To achieve the above object, the invention provides the following technical scheme: a kind of quasi- phase based on fracture hole mode seeps calculating side Method comprising following steps:
S1 collects the basic data of selected typical fracture hole mode and establishes two dimensional model;
S2 obtains different time and walks upper flow parameter according to Navier-Stokes equation simulation water drive oil process;
S3 seeks intending mutually seeping initial value under the mode using meteod of instability according to analog result;
This is mutually seeped the business simulation softward that initial value substitutes into based on Darcy formula and is fitted by S4, is obtained relatively accurate Fracture hole mode quasi- mutually seep;
S5 converts fracture hole pattern configurations parameter, repeats step S2-S4, obtains the quasi- phase under the fracture hole mode different shape It seeps.
Preferably, the concrete operations of the step S1 are: according to oil field actual conditions, extracting Reasonable Injection and adopt model, by it It is mapped to two-dimensional surface, constructs model.
Preferably, the concrete operations of the step S2 are: using Navier-Stokes equation analysis flow regime, use Level Set Method handles oil water interfacial tension problem, spreads interface problem using Cahn-Hilliard equation control water-oil phase.
Preferably, the concrete operations of the step S3 are: model being equivalent to a rock core, according to equisaturation movement side Journey and B-L equation calculate water phase relative permeability and oil relative permeability under corresponding saturation degree.
Preferably, the concrete operations of the step S4 are: the mutually infiltration initial value that step S3 is obtained being substituted into business software and is transported It calculates, analog parameter and fitting parameter are consistent with step S2 operational parameter, and fitting Production development result obtains relatively accurate fracture hole Mode is quasi- mutually to seep.
Preferably, the concrete operations of the step S5 are: transformation fracture aperture, and the parameters such as solution cavity size proportion repeat to walk Rapid S2-S4 calculates the quasi- mutually infiltration of the fracture hole mode under different shape.
Detailed description of the invention
Fig. 1 is quasi- phase infiltration calculation method interwell communication mould of certain block T402-TK429C based on fracture hole mode in the present invention Type;
Fig. 2 is double holes double slit pattern diagram in the present invention;
Fig. 3 is to intend mutually seeping initial value operation result in the present invention;
Fig. 4 is Production development fitting result in the present invention;
Fig. 5 is to intend mutually seeping final result in the present invention;
Fig. 6, which is that different solution cavity radius ratios are corresponding in the present invention, to be intended mutually seeping result;
Fig. 7, which is that different fracture apertures are quasi- in the present invention, mutually seeps result;
Fig. 8, which is that different fracture lengths are quasi- in the present invention, mutually seeps result;
Fig. 9, which is that different fracture dips are quasi- in the present invention, mutually seeps result.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other Embodiment shall fall within the protection scope of the present invention.
Fig. 1-9 is please referred to, the present invention provides a kind of technical solution: a kind of quasi- phase infiltration calculation method based on fracture hole mode, It includes the following steps:
Step S1 extracts Reasonable Injection and adopts model, map that two-dimensional surface, construct model according to oil field actual conditions.
Step S2 is to handle oil-water interfaces using Level Set Method using Navier-Stokes equation analysis flow regime Strain problem spreads interface problem using Cahn-Hilliard equation control water-oil phase.
The quality and momentum of Navier-Stokes equation simulation fluid of the model based on incompressible fluid are transmitted.Consider The influence of capillary force, it is necessary in a model include surface tension;Modelling is longitudinal profile, summarizes addition gravity in equation ?.Therefore, Navier-Stokes equation is expressed as formula (1), (2):
▽ u=0 (2)
Wherein, ρ represents fluid density, kg/m3;μ indicates fluid kinematic viscosity, Ns/m2;U indicates speed, m/s;P is indicated Pressure, Pa;G indicates acceleration of gravity, m/s2;FstIndicate the interfacial tension of oil-water interfaces.
It is calculated shown in interfacial tension such as formula (3), (4) using Level Set Method:
Fst=▽ T (3)
T=σ (I- (nnT))δ (4)
Wherein, I indicates known matrix, and n is interface normal, and σ indicates interfacial tension coefficient (N/m), and δ indicates dirac letter Number is only non-zero number on fluid boundary.When using finite element method Navier-Stokes equation, equation is multiplied It is then integrated in computational domain with test function.If handled for part, test can will be moved to the derivative of T In equation, such result is exactly that the integral of entire computational domain adds the integral of graphic limit.
For the diffusion interface of tracking water phase and oily phase, controlled using Cahn-Hilliard equation.Diffusion interface definition is nothing The region of dimension phase field variable φ from -1 to 1.For convenience of solution, Cahn-Hilliard equation is divided into two equations:
ψ=- ▽ ε2▽φ+(φ2-1)φ (6)
Wherein, u is fluid velocity, m/s;γ is mobility, m3·s/kg;λ is mixed tensor density N;ε is interfacial thickness Parameter, m;ψ variable becomes phase field master variable.Following equation (7) is by mixed tensor density and interfacial thickness and surface tension coefficient It is associated:
Usually interfacial thickness parameter can be set as ε=hc/ 2, wherein hcIt is the feature grid ruler in the region of interface process It is very little.Mobility parameters γ determines the time scale of Cahn-Hilliard diffusion, it is necessary to select with caution, which needs sufficiently large To guarantee that interfacial thickness is constant, at the same need again it is sufficiently small with guarantee will not extra-inhibitory convective term.Default value γ=ε2Usually It is applicable initial valuation, needs to obtain the correct pressure change in interface in this model therefore use higher mobility.

Claims (6)

1. a kind of quasi- phase based on fracture hole mode seeps calculation method comprising following steps:
S1 collects the basic data of selected typical fracture hole mode and establishes two dimensional model;
S2 obtains different time and walks upper flow parameter according to Navier-Stokes equation simulation water drive oil process;
S3 seeks intending mutually seeping initial value under the mode using meteod of instability according to analog result;
This is mutually seeped the business simulation softward that initial value substitutes into based on Darcy formula and is fitted by S4, obtains relatively accurate seam Hole mode is quasi- mutually to seep;
S5 converts fracture hole pattern configurations parameter, repeats step S2-S4, and the quasi- phase obtained under the fracture hole mode different shape is seeped.
2. a kind of quasi- phase based on fracture hole mode according to claim 1 seeps calculation method, it is characterised in that: the step The concrete operations of S1 are: according to oil field actual conditions, extracting Reasonable Injection and adopt model, map that two-dimensional surface, construct model.
3. a kind of quasi- phase based on fracture hole mode according to claim 1 seeps calculation method, it is characterised in that: the step The concrete operations of S2 are: using Navier-Stokes equation analysis flow regime, use Level Set Method processing oil-water interfaces Power problem spreads interface problem using Cahn-Hilliard equation control water-oil phase.
4. a kind of quasi- phase based on fracture hole mode according to claim 1 seeps calculation method, it is characterised in that: the step The concrete operations of S3 are: model being equivalent to a rock core, according to equisaturation mobile equation and B-L equation, calculates and corresponds to Water phase relative permeability and oil relative permeability under saturation degree.
5. a kind of quasi- phase based on fracture hole mode according to claim 1 seeps calculation method, it is characterised in that: the step The concrete operations of S4 are: the mutually infiltration initial value that step S3 is obtained substitute into operation in business software, analog parameter and fitting parameter with Step S2 operational parameter is consistent, and fitting Production development result obtains the quasi- mutually infiltration of relatively accurate fracture hole mode.
6. a kind of quasi- phase based on fracture hole mode according to claim 1 seeps calculation method, it is characterised in that: the step The concrete operations of S5 are: transformation fracture aperture, and the parameters such as solution cavity size proportion repeat step S2-S4, and calculating should under different shape Fracture hole mode is quasi- mutually to seep.
CN201910042454.8A 2019-01-17 2019-01-17 A kind of quasi- phase infiltration calculation method based on fracture hole mode Pending CN109933747A (en)

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Publication number Priority date Publication date Assignee Title
CN110714757A (en) * 2019-11-26 2020-01-21 中国石油大学(华东) Mechanical accuracy measurement method for residual oil of gas-drive starting blind end seam hole body

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CN102339326A (en) * 2010-07-16 2012-02-01 中国石油化工股份有限公司 Method for analyzing and simulating fluid flow of fracture-cavity oil reservoir
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110714757A (en) * 2019-11-26 2020-01-21 中国石油大学(华东) Mechanical accuracy measurement method for residual oil of gas-drive starting blind end seam hole body
CN110714757B (en) * 2019-11-26 2023-03-21 中国石油大学(华东) Mechanical accuracy measurement method for residual oil of gas-drive starting blind end seam hole body

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