论文标题
混合混合不连续的galerkin有限元法，用于不可压缩的蠕虫传播问题
Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem
论文作者
论文摘要
虫洞的繁殖在油气储层的产品增强中起着非常重要的作用。提出了一种新的组合混合混合有限元方法，以解决不连续的Galerkin有限元过程来求解不可压缩的蠕虫繁殖问题，在该过程中，为压力方程式建立了新的混合混合有限元算法，而不连续的Galerkin Finite元素是用于浓度方程的不连续元素元素，然后考虑到浓度的浓度，并构成了porition的浓度效果。这种新的组合方法可以保持局部质量平衡，同时它也保持了孔隙率的界限。分析提出的方法的收敛性，并得出最佳的误差估计。最后，提出了数值示例，以验证算法的有效性和理论结果的正确性。
Wormhole propagation plays a very important role in the product enhancement of oil and gas reservoir. A new combined hybrid mixed finite element method is proposed to solve incompressible wormhole propagation problem with discontinuous Galerkin finite element procedure, in which, the new hybrid mixed finite element algorithm is established for pressure equation, while the discontinuous Galerkin finite element method is considered for concentration equation, and then the porosity function is computed straightly by the approximate value of the concentration. This new combined method can keep local mass balance, meantime it also keeps the boundedness of the porosity. The convergence of the proposed method is analyzed and the optimal error estimate is derived. Finally, numerical examples are presented to verify the validity of the algorithm and the correctness of the theoretical results.
