An efficient mimetic finite difference method for multiphase flow in fractured reservoirs

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Modelling fluid flows in fractured reservoirs is crucial to many recent engineering and applied science research. Various numerical methods have been applied, including finite element methods, finite volume methods. These approaches have inherent limitations in accuracy and application. Considering these limitations, in this paper, we present a novel mimetic finite difference (MFD) framework to simulate two phase flow accurately in fracture reservoirs. A novel MFD method is proposed for simulating multiphase flow through fractured reservoirs by taking advantage of unstructured mesh. Our approach combines MFD and finite volume (FV) methods. Darcy's equation is discreted by MFD method, while the FV method is used to approximate the saturation equation. The resulting system of equations is then imposed with suitable physical coupling conditions along the matrix/ fracture interfaces. This coupling conditions at the interfaces between matrix and fracture flow involve only the centroid pressure of fractures, which brings some simplification in analysis. The proposed approach is applicable for three dimensional systems. Moreover, it is applicable in arbitrary unstructured gridcells with full-tensor permeabilities. Some examples are implemented to show the performance of MFD method. The results showed a big potential of our method to simulate the flow problems with high accuracy and application.

Original languageEnglish
Title of host publicationSociety of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019
PublisherSociety of Petroleum Engineers
ISBN (Electronic)9781613996614
Publication statusPublished - 1 Jan 2019
EventSPE Europec Featured at 81st EAGE Conference and Exhibition 2019 - London, United Kingdom
Duration: 3 Jun 20196 Jun 2019

Publication series

NameSociety of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019

Conference

ConferenceSPE Europec Featured at 81st EAGE Conference and Exhibition 2019
CountryUnited Kingdom
CityLondon
Period3/6/196/6/19

Fingerprint

finite volume method
Multiphase flow
multiphase flow
finite difference method
Finite difference method
Finite volume method
applied science
fracture flow
matrix
two phase flow
numerical method
finite element method
fluid flow
Two phase flow
saturation
permeability
Tensors
Flow of fluids
engineering
Numerical methods

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geotechnical Engineering and Engineering Geology
  • Fuel Technology

Cite this

Zhang, N., & Abushaikha, A. S. (2019). An efficient mimetic finite difference method for multiphase flow in fractured reservoirs. In Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019 (Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019). Society of Petroleum Engineers.

An efficient mimetic finite difference method for multiphase flow in fractured reservoirs. / Zhang, Na; Abushaikha, Ahmad Sami.

Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019. Society of Petroleum Engineers, 2019. (Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhang, N & Abushaikha, AS 2019, An efficient mimetic finite difference method for multiphase flow in fractured reservoirs. in Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019. Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019, Society of Petroleum Engineers, SPE Europec Featured at 81st EAGE Conference and Exhibition 2019, London, United Kingdom, 3/6/19.
Zhang N, Abushaikha AS. An efficient mimetic finite difference method for multiphase flow in fractured reservoirs. In Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019. Society of Petroleum Engineers. 2019. (Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019).
Zhang, Na ; Abushaikha, Ahmad Sami. / An efficient mimetic finite difference method for multiphase flow in fractured reservoirs. Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019. Society of Petroleum Engineers, 2019. (Society of Petroleum Engineers - SPE Europec Featured at 81st EAGE Conference and Exhibition 2019).
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