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

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

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

Published online: 2013-02

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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 flow in fractured karst reservoirs based on the idea of equivalent 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 fracture system has been used to demonstrate the validity of our method. At last, we have used the fracture and cavity statistics data from TAHE outcrops in west China, effective permeability values and other parameters from our code, and an equivalent continuum simulator to calculate the water flooding profiles for more realistic systems.

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@Article{CiCP-13-540, author = {}, title = {An Efficient Numerical Model for Immiscible Two-Phase Flow in Fractured Karst Reservoirs}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {2}, pages = {540--558}, 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 flow in fractured karst reservoirs based on the idea of equivalent 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 fracture system has been used to demonstrate the validity of our method. At last, we have used the fracture and cavity statistics data from TAHE outcrops in west China, effective permeability values and other parameters from our code, and an equivalent continuum simulator to calculate the water flooding profiles for more realistic systems.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.160711.240212a}, url = {http://global-sci.org/intro/article_detail/cicp/7235.html} }
TY - JOUR T1 - An Efficient Numerical Model for Immiscible Two-Phase Flow in Fractured Karst Reservoirs JO - Communications in Computational Physics VL - 2 SP - 540 EP - 558 PY - 2013 DA - 2013/02 SN - 13 DO - http://doi.org/10.4208/cicp.160711.240212a UR - https://global-sci.org/intro/article_detail/cicp/7235.html KW - AB -

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 flow in fractured karst reservoirs based on the idea of equivalent 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 fracture system has been used to demonstrate the validity of our method. At last, we have used the fracture and cavity statistics data from TAHE outcrops in west China, effective permeability values and other parameters from our code, and an equivalent continuum simulator to calculate the water flooding profiles for more realistic systems.

Zhao-Qin Huang, Jun Yao & Yue-Ying Wang. (2020). An Efficient Numerical Model for Immiscible Two-Phase Flow in Fractured Karst Reservoirs. Communications in Computational Physics. 13 (2). 540-558. doi:10.4208/cicp.160711.240212a
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