Method for calculating porous medium oil-water two-phase flow based on windward GFDM

A technology of porous media and calculation methods, applied in the directions of calculation, computer-aided design, design optimization/simulation, etc., can solve the problems of difficult windward effect, complex flow field, and difficulty in effectively guaranteeing calculation accuracy.

Pending Publication Date: 2022-02-08
YANGTZE UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Benefits of technology

The technical effect that this new technology has been described for improving performance or efficiency on certain tasks can include improved objectives such as better accuracy during manufacturing processes, increased productivity at reduced costs compared with existing methods like traditional machining techniques, faster processing times due to its ability to process materials quickly without damaging them, etc., which makes it possible to make things more efficient than older ways.

Problems solved by technology

The technical problem addressed in this patents relates to accurately calculating fluid dynamic properties during drilling operations for use in exploration purposes like hydrocarbon prospecting. Existing techniques require expensive equipment and cannot provide realistic data due to their limitations. There is currently no way to efficiently allocate computational resources towards specific areas within the region being studied without sacrificially changing the structure around them.

Method used

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  • Method for calculating porous medium oil-water two-phase flow based on windward GFDM
  • Method for calculating porous medium oil-water two-phase flow based on windward GFDM
  • Method for calculating porous medium oil-water two-phase flow based on windward GFDM

Examples

Experimental program
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Effect test

Embodiment 1

[0045] A multi-hole medium, two-phase flow calculation method based on the wind-winding GFDM, including the following steps:

[0046] S1, establish a two-phase flow model of porous dielectric oil water;

[0047] The two-phase flow model of the porous dielectric oil includes a conservation equation of an oil phase substance, aqueous phase material conservation equation, and auxiliary equation, wherein the two-phase flow of the oil in the porous medium is not interposed.

[0048] Among them, the oil phase substance conservation equation is:

[0049]

[0050] Where: k is permeability, md; k ro = K ro (S w ) Is with aqueous saturation w Relative penetration of oil; μ o Is oil phase viscosity, MPa · S; P o Is oil phase pressure, MPA; Q o It is an oil phase source mesh, 1 / day; T is time, day; o It is an oil phase saturation; φ = φ (p) is a pressure-related reservoir porosity;

[0051] The aqueous phase substance conservation equation is:

[0052]

[0053] In the above formula: k r...

Embodiment 2

[0101] This embodiment selects a rule of rectangular calculating domain ([0M, 200M] × [0m, 80m]), and the left and right boundary (separately remembering γ) 1 Γ 2 Both are the first type of boundary condition, up and down boundary (separately remembering γ) 3 Γ 4 In order to close the boundary conditions, the source transfer item is 0, Table 1 shows the relevant physical parameters including a phase infiltration expression, the calculation domain initial value, and the specific equation is shown in the equation (13).

[0102]

[0103] p 0 = 10, S w = 0.8,

[0104]

[0105] This embodiment calculates the FDM calculation result obtained by the small spatial step and the small time step (ΔX = 1 M, ΔY = 1m, Δt = 0.005d) as a reference. figure 1 Contrast ΔX = 4m, ΔY = 4M FDM and selection nodes affect domain radius The routing results of the winding GFDM on a one-dimensional line of y = 40m, you can see that the windfx GFDM can get a high precision, especially in the pressure ca...

Embodiment 3

[0115] Example 2 Demonstrates the calculation results of the windfx GFDM to achieve sufficient accuracy, and the node affects the changes in the calculation accuracy. Therefore, compared to the finite difference, finite element or finite volume method, the finite element or finite volume method, etc. The difficulty is greatly reduced.

[0116] like image 3 (a), the present embodiment is directed to Example 2, with a more flexible layout method, and no longer a rule of Cartesian cloth point, Figure 4 The calculated saturation and pressure distribution can be seen, and the calculation results can be seen from figure 2 The results in (b) are basically matched, indicating that the inventive GFDM of the present invention can achieve effective calculations in any placement. Then, this example is given image 3 (b) The calculation and distribution points, the initial boundary value condition, and the control equation shown in the same boundary shape, the same as the 3.1 section, only boun...

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Abstract

The invention discloses a method for calculating porous medium oil-water two-phase flow based on windward GFDM. The method comprises the following steps: S1, establishing a porous medium oil-water two-phase flow model; S2, discretizing the porous medium oil-water two-phase flow model based on windward GFDM (Generalized Frequency Division Multiplexing) to obtain a fully implicit discretization format of the porous medium oil-water two-phase flow model; and S3, solving the fully implicit discrete format of the porous medium oil-water two-phase flow model by using a nonlinear solver based on Newton iteration and automatic differentiation to realize high-precision meshless calculation of pressure and water saturation. The invention provides a method for calculating porous medium oil-water two-phase flow based on windward GFDM (Generalized Fused Deposition Modeling), and provides a reference basis for forming a porous medium flow universal meshless numerical simulator independent of a grid.

Description

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Claims

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Application Information

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Owner YANGTZE UNIVERSITY
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