Volume 13, Issue 2
An Efficient Numerical Model for Immiscible Two-Phase Flow in Fractured Karst Reservoirs

Zhao-Qin Huang ,  Jun Yao and Yue-Ying Wang

10.4208/cicp.160711.240212a

Commun. Comput. Phys., 13 (2013), pp. 540-558.

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  • Abstract

Numerical simulation of two-phase flow in fractured karst reservoirs is still a challenging issue. The triple-porosity model is the major approach up to now. However, the triple-continuum assumption in this model is unacceptable for many cases. In the present work, an efficient numerical model has been developed for immiscible two-phase flowinfracturedkarstreservoirsbasedonthe ideaofequivalent continuum representation. First, based on the discrete fracture-vug model and homogenization theory, the effective absolute permeability tensors for each grid blocks are calculated. And then an analytical procedure to obtain a pseudo relative permeability curves for a grid block containing fractures and cavities has been successfully implemented. Next, a full-tensor simulator has been designed based on a hybrid numerical method (combining mixed finite element method and finite volume method). A simple fracturesystem has been used to demonstrate the validity of our method. At last, we have used the fractureand cavity statistics data from TAHE outcrops in west China, effectivepermeability values and other parameters from our code, and an equivalent continuum simulator to calculate the water flooding profiles for more realistic systems. 

  • History

Published online: 2013-02

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