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    基于嵌入离散裂缝的页岩气藏视渗透率模型

    冯其红 徐世乾 王森 杨毅 高方方 徐亚娟

    冯其红, 徐世乾, 王森, 杨毅, 高方方, 徐亚娟, 2017. 基于嵌入离散裂缝的页岩气藏视渗透率模型. 地球科学, 42(8): 1301-1313. doi: 10.3799/dqkx.2017.551
    引用本文: 冯其红, 徐世乾, 王森, 杨毅, 高方方, 徐亚娟, 2017. 基于嵌入离散裂缝的页岩气藏视渗透率模型. 地球科学, 42(8): 1301-1313. doi: 10.3799/dqkx.2017.551
    Feng Qihong, Xu Shiqian, Wang Sen, Yang Yi, Gao Fangfang, Xu Yajuan, 2017. A Stochastic Permeability Model for Shale Gas Reservoirs Based on Embedded Discrete Fracture Model. Earth Science, 42(8): 1301-1313. doi: 10.3799/dqkx.2017.551
    Citation: Feng Qihong, Xu Shiqian, Wang Sen, Yang Yi, Gao Fangfang, Xu Yajuan, 2017. A Stochastic Permeability Model for Shale Gas Reservoirs Based on Embedded Discrete Fracture Model. Earth Science, 42(8): 1301-1313. doi: 10.3799/dqkx.2017.551

    基于嵌入离散裂缝的页岩气藏视渗透率模型

    doi: 10.3799/dqkx.2017.551
    基金项目: 

    国家重点基础研究发展计划(973计划)项目 2015CB250905

    中国博士后创新人才支持计划项目 BX201600153

    青岛市博士后应用研究项目 2016218

    中国博士后科学基金资助 2016M600571

    详细信息
      作者简介:

      冯其红(1969-), 男, 教授, 主要从事非常规油气勘探开发及提高采收率方面的科研工作

      通讯作者:

      王森

    • 中图分类号: P313.1

    A Stochastic Permeability Model for Shale Gas Reservoirs Based on Embedded Discrete Fracture Model

    • 摘要: 页岩储层具有不同类型的储集空间,但综合考虑不同储集空间,对页岩储层渗透率进行评价的模型未见报道.基于嵌入离散裂缝模型,建立的页岩气藏视渗透率模型包括4个步骤:(1)构建天然裂缝、有机质和无机质的空间分布模型;(2)筛选不同类型储集空间的渗透率计算方法;(3)基于嵌入离散裂缝模型,结合空间分布模型和渗透率计算方法,建立数值模拟模型;(4)在模型的入口和出口端施加压差,求得一定压差下通过该岩心的气体流量,采用达西定律得到该页岩气藏的视渗透率.其计算结果与文献报道的渗透率实验值吻合较好.通过对不同因素的探讨,结果表明,天然裂缝对页岩气藏视渗透率的贡献大于无机质和有机质孔隙.因此,计算页岩视渗透率时有必要对天然裂缝、有机质和无机质孔隙进行综合考虑.

       

    • 图  1  有机质方块尺寸概率密度分布函数

      Fig.  1.  Probability density function for patch-size distribution of organic matter

      图  2  四种随机生成的页岩基质模型

      黑色方块代表有机质;白色部分代表无机质

      Fig.  2.  Four stochastic shale matrix models

      图  3  四种随机生成的天然裂缝、有机质和无机质的空间分布模型

      红色实线代表天然裂缝

      Fig.  3.  Four stochastic spatial distribution models for natural fracture, organic matter and inorganic matter

      图  4  孔隙尺寸的概率密度分布函数

      a.氮气吸附实验测得的双峰孔隙尺寸分布特征曲线(美国鹰滩页岩样品);b.有机质孔隙;c.无机质孔隙

      Fig.  4.  Probability density function for pore size distribution

      图  5  EDFM原理示意

      a.物理模型;b.计算域模型;据Xu et al.(2016)

      Fig.  5.  The working principle diagram for EDFM

      图  6  渗透率分布场

      a.完整模型(200 μm×200 μm);b.局部放大模型(40 μm×30 μm)

      Fig.  6.  Permeability distribution model

      图  7  压力分布场

      模型尺寸为200 μm×200 μm

      Fig.  7.  The pressure distribution

      图  8  模型尺寸对视渗透率计算结果的影响

      Fig.  8.  The effect of model size to shale gas AP

      图  9  两个页岩样品的孔隙尺寸分布特征曲线

      Kuila and Prasad(2013)

      Fig.  9.  Bimodal pore size distribution curve of two shale samples

      图  10  不同类型储集空间对渗透率的影响.

      a.考虑天然裂缝,有机质和无机质孔隙对渗透率的影响;b.考虑有机质和无机质孔隙对渗透率的影响;c.只考虑有机质孔隙对渗透率的影响

      Fig.  10.  The effect on permeability of different types of pore space

      图  11  单条天然裂缝对视渗透率的影响

      a.存在一条天然裂缝;b.不存在天然裂缝;c.裂缝倾角(θ)示意;d.天然裂缝倾角对视渗透率的影响;模型尺寸为200 μm×200 μm

      Fig.  11.  The effect of single natural fracture to shale gas AP

      图  12  天然裂缝条数对视渗透率的影响

      模型尺寸为200 μm×200 μm;红色直线代表天然裂缝

      Fig.  12.  The effect of natural fracture number to shale gas AP

      图  13  天然裂缝开度对视渗透率的影响

      a.分析天然裂缝开度影响的基础模型(红色直线代表天然裂缝);b.天然裂缝开度对视渗透率的影响规律;模型尺寸为200 μm×200 μm

      Fig.  13.  The effect of natural fracture aperture to shale gas AP

      图  14  页岩气藏视渗透率的参数敏感性分析

      a.迂曲度对视渗透率的影响;b.系统压力对视渗透率的影响;c.有机质孔隙孔径分布特征(均值和标准差)对视渗透率的影响;d.无机质孔隙孔径分布特征(均值和标准差)对视渗透率的影响

      Fig.  14.  Sensitivity analysis for shale gas AP

      表  1  天然裂缝参数

      Table  1.   Natural fracture parameters

      参数 数值
      平均走向 北偏东60°
      Fisher常数K 120
      最小天然裂缝长度lmin 10 μm
      最大天然裂缝长度lmax 160 μm
      天然裂缝条数nf 10
      幂律分布指数α 0.8
      孔隙度φf 0.02
      迂曲度τf 1
      开度h 1 μm
      下载: 导出CSV

      表  3  页岩样品属性

      Table  3.   The properties of shale samples

      岩石样品属性 皮埃尔页岩 曼科斯页岩
      孔隙尺寸分布 图 9 图 9
      孔隙度 0.06 0.06
      体积TOC 18.00% 1.36%
      系统压力 13.8 MPa 13.8 MPa
      实验测量的渗透率 0.017 0 μD 0.016 0 μD
      模型计算的渗透率 0.016 9 μD 0.016 3 μD
      τm估计值 56 68
      Df估计值 2.6 2.8
      注:据Kuila and Prasad(2013).
      下载: 导出CSV

      表  2  示例模型中所用的属性

      Table  2.   Properties used in the sample model

      属性 数值
      孔隙尺寸分布 图 4
      孔隙度φm 0.1
      体积TOC 12.00%
      平均压力 10 MPa
      τm 10
      Df 2.2
      下载: 导出CSV

      表  4  天然裂缝的属性

      Table  4.   The properties of natural fractures

      参数 数值
      平均走向 北偏东60°
      Fisher常数K 120
      最小天然裂缝长度lmin 20 μm
      最大天然裂缝长度lmax 60 μm
      天然裂缝条数nf 2
      幂律分布指数α 0.8
      孔隙度φf 0.002
      迂曲度τf 1
      开度h 1 μm
      下载: 导出CSV
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