We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-porosity-Stokes problem. This coupled problem describes the interaction between free flow in macrofractures/conduits, governed by the Stokes equations, and flow in microfractures/matrix, governed by a dual-porosity model. We prove that the HDG method is strongly conservative, well-posed, and give an a priori error analysis showing dependence on the problem parameters. Our theoretical findings are corroborated by numerical examples

翻译：我们提出并分析了一种用于双孔隙-斯托克斯问题的可杂交间断伽辽金（HDG）方法。该耦合问题描述了由斯托克斯方程控制的大裂隙/管道中的自由流动与由双孔隙模型控制的微裂隙/基质中的流动之间的相互作用。我们证明了HDG方法具有强守恒性、适定性，并给出了依赖于问题参数的先验误差分析。数值算例验证了我们的理论结果。