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An Extended Finite Element Model for Fluid Flow in Fractured Porous Media

机译：裂隙多孔介质中流体流动的扩展有限元模型

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摘要

This paper proposes a numerical model for the fluid flow in fractured porous media with the extended finite element method. The governing equations account for the fluid flow in the porous medium and the discrete natural fractures, as well as the fluid exchange between the fracture and the porous medium surrounding the fracture. The pore fluid pressure is continuous, while its derivatives are discontinuous on both sides of these high conductivity fractures. The pressure field is enriched by the absolute signed distance and appropriate asymptotic functions to capture the discontinuities in derivatives. The most important advantage of this method is that the domain can be partitioned as nonmatching grid without considering the presence of fractures. Arbitrarily multiple, kinking, branching, and intersecting fractures can be treated with the new approach. In particular, for propagating fractures, such as hydraulic fracturing or network volume fracturing in fissured reservoirs, this method can process the complex fluid leak-off behavior without remeshing. Numerical examples are presented to demonstrate the capability of the proposed method in saturated fractured porous media.
机译：利用扩展有限元方法，提出了裂隙多孔介质中流体流动的数值模型。控制方程考虑了在多孔介质和离散的自然裂缝中的流体流动，以及裂缝与围绕裂缝的多孔介质之间的流体交换。孔隙流体压力是连续的，而其导数在这些高电导率裂缝的两侧都不连续。通过绝对符号距离和适当的渐近函数来丰富压力场，以捕获导数中的不连续性。该方法最重要的优点是，可以将区域划分为不匹配的网格，而无需考虑裂缝的存在。新方法可以治疗任意多个，扭结，分支和相交的骨折。特别地，对于在裂缝性储层中传播裂缝，例如水力压裂或网络体积压裂，该方法可以处理复杂的流体泄漏行为而无需重新网格化。数值算例表明了该方法在饱和压裂多孔介质中的能力。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第17期|604212.1-604212.10|共10页
  • 作者

    Liu Fei; Zhao Li-qiang; Liu Ping-li; Luo Zhi-feng; Li Nian-yin; Wang Pei-shan;

  • 作者单位

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China.;

    Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China.;

    PetroChina, Southwest Oil & Gas Field Co, Explorat Util Dept, Chengdu 610000, Sichuan, Peoples R China.;

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