A thermodynamically consistent model of a double porosity medium with scattered fracture of a matrix is developed. Fracture formation in the matrix is facilitated by the anomalously high reservoir pressure. It is assumed that that damage development in the matrix enhances mass transfer between the subsystems of a double porosity medium. By the example of the problem of productivity of a long cylindrical well, the influence of the abnormal high reservoir pressure on the fluid flow rate is qualitatively demonstrated.

中文翻译：

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双孔隙度介质中基质分散断裂的热力学一致过滤模型

开发了具有基质分散断裂的双孔隙度介质的热力学一致模型。异常高的储层压力促进了基质中裂缝的形成。假设基质中的损伤发展增强了双孔隙度介质子系统之间的传质。以长圆柱井产能问题为例，定性论证了异常高储层压力对流体流速的影响。