Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem

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 problem with discontinuous Galerkin procedure, which, algorithm established for pressure equation, while considered concentration then porosity function computed straightly by approximate value concentration. This can keep local mass balance, meantime it also keeps boundedness porosity. The convergence analyzed optimal error estimate L2-norm derived. Finally, first-order backward Euler scheme time, numerical examples are presented verify validity correctness theoretical results.