Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1016/j.matcom.2012.06.010
Title (Primary) Numerical simulation of two-phase flow in deformable porous media: application to carbon dioxide storage in the subsurface
Author Kolditz, O. ORCID logo ; Bauer, S.; Böttcher, N.; Elsworth, D.; Görke, U.-J.; McDermott, C.I.; Park, C.-H.; Singh, A.K.; Taron, J.; Wang, W. ORCID logo
Source Titel Mathematics and Computers in Simulation
Year 2012
Department ENVINF
Volume 82
Issue 10
Page From 1919
Page To 1935
Language englisch
Keywords Porous media; Two-phase flow consolidation; Heat transport; Carbon capture storage (CCS); OpenGeoSys (OGS)
Abstract

In this paper, conceptual modeling as well as numerical simulation of two-phase flow in deep, deformable geological formations induced by CO2 injection are presented. The conceptual approach is based on balance equations for mass, momentum and energy completed by appropriate constitutive relations for the fluid phases as well as the solid matrix. Within the context of the primary effects under consideration, the fluid motion will be expressed by the extended Darcy's law for two phase flow. Additionally, constraint conditions for the partial saturations and the pressure fractions of carbon dioxide and brine are defined. To characterize the stress state in the solid matrix, the effective stress principle is applied. Furthermore, the interaction of fluid and solid phases is illustrated by constitutive models for capillary pressure, porosity and permeability as functions of saturation. Based on this conceptual model, a coupled system of nonlinear differential equations for two-phase flow in a deformable porous matrix (H2M model) is formulated. As the displacement vector acts as primary variable for the solid matrix, multiphase flow is simulated using both pressure/pressure or pressure/saturation formulations. An object-oriented finite element method is used to solve the multi-field problem numerically. The capabilities of the model and the numerical tools to treat complex processes during CO2 sequestration are demonstrated on three benchmark examples: (1) a 1-D case to investigate the influence of variable fluid properties, (2) 2-D vertical axi-symmetric cross-section to study the interaction between hydraulic and deformation processes, and (3) 3-D to test the stability and computational costs of the H2M model for real applications.

Persistent UFZ Identifier https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=12735
Kolditz, O., Bauer, S., Böttcher, N., Elsworth, D., Görke, U.-J., McDermott, C.I., Park, C.-H., Singh, A.K., Taron, J., Wang, W. (2012):
Numerical simulation of two-phase flow in deformable porous media: application to carbon dioxide storage in the subsurface
Math. Comput. Simul. 82 (10), 1919 - 1935 10.1016/j.matcom.2012.06.010