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页岩气藏双渗透模型解的结构

李顺初 任丽 郑鹏社 桂钦民

西华大学学报(自然科学版)2017,Vol.36Issue(1):39-46,8.
西华大学学报(自然科学版)2017,Vol.36Issue(1):39-46,8.DOI:10.3969/j.issn.1673-159X.2017.01.008

页岩气藏双渗透模型解的结构

Similar Structure of Solutions for Percolation Model in Dual-Permeability of Shale Gas Reservoirs

李顺初 1任丽 1郑鹏社 1桂钦民2

作者信息

  • 1. 西华大学理学院应用数学研究所,四川 成都 610039
  • 2. 北京东润科石油技术股份有限公司,北京 100029
  • 折叠

摘要

Abstract

As for the shale gas of complex seepage problems about adsorption & desorption, diffusion, slippage, seepage and so on, we established respectively shale gas reservoir seepage equations with the premise on adsorption&desorption according to the shale gas seepage theory. During the establishment, we considered slippage effect in the matrix porosity, the slippage effect and gas diffusion in micro-matrix porosity, synthesis, stress-sensitivity, gas diffusion and so on. The percolation model in dual- permeability of Shale Gas Reservoirs was composed of every kind of shale gas reservoir seepage equations, three kinds of outer boundary conditions ( closed, constant pressure, infinity) , initial conditions and boundary conditions. With the dimensionless transform and Laplace trans-form, the nonlinear model in dual-permeability of Shale gas reservoirs was transformed into a definite solution problem of ordinary dif-ferential equation and solutions of the model in Laplace space were obtained. Then, we analyzed the solutions in depth and found that the solutions of the model had a characteristic of the similar structure. It is great convenience for well test analysis software. It helps to avoid a tedious and complicated calculation process and improve the computational efficiency and, and has a guiding significance on shale gas productivity model.

关键词

页岩气/解析吸附/滑脱效应/应力敏感/相似结构

Key words

shale gas/adsorption & desorption/slippage effect/stress-sensitivity/similar structure

分类

数理科学

引用本文复制引用

李顺初,任丽,郑鹏社,桂钦民..页岩气藏双渗透模型解的结构[J].西华大学学报(自然科学版),2017,36(1):39-46,8.

基金项目

四川省科技厅2015 年第一批科技计划项目(基本科研 - 重点研发) (2015JY0245) (基本科研 - 重点研发)

四川省教育厅自然科学重点项目(12ZA164) (12ZA164)

四川省教育厅自然科学重点项目(15ZA0135) (15ZA0135)

西华大学创新基金(YCJJ2016102) (YCJJ2016102)

西华大学"西华杯"训练项目(LXY2016008). (LXY2016008)

西华大学学报(自然科学版)

OACSTPCD

1673-159X

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