Abstract
The spatial orientation of finite difference computational grids can strongly influence numerical simulations of water injection into vapor zones. Robust numerical behavior is seen in two-dimensional areal models, while extreme sensitivity to grid orientation is found in vertical sections. Mathematical analysis of finite difference approximations provides insight into the nature and strength of grid effects and leads to the concept of “effective grid capillary pressure”. The paper concludes with recommendations for how to avoid numerical pitfalls and achieve realistic results in the simulation of water injection into depleted vapor zones.
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