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本文研究了被注入液体的多孔介质中存在的裂缝尖端应力强度因子。该因子在瞬态流动阶段不断演变,在稳态阶段中趋于某一个极限值。对于简单的裂缝几何形状,有限元数值模拟结果显示在恒定注入压力时强度因子在稳态区域中达到其最大值。这个结果使得研究和模拟水压裂缝的扩展得到极大的简化,因为稳态流解的确定比瞬态流要更容易和快速。另外在稳流状态下,一些流体和固体耦合问题不再存在,使得建立一些封闭的近似表达解成为可能。这一研究成果对于可控压力液体注入的CO_2封存项目特别有实用价值。
In this paper, the crack tip stress intensity factor existing in the porous medium injected into liquid is studied. This factor evolves during the transient flow phase and approaches a certain limit during the steady-state phase. For simple crack geometries, the FE simulation results show that the intensity factor reaches its maximum value in the steady-state region at a constant injection pressure. This result greatly simplifies the study and simulations of hydraulic fractures, as the determination of steady-state flow is easier and faster than the transient flow. In addition, some steady-state fluid-solid coupling problems no longer exist, making it possible to establish some closed approximation expressions. This research result is of particular practical value for CO 2 sequestration projects with controlled pressure liquid injection.