Adaptive Mesh Refinement for 2D Non-Isothermal Three-Phase Flows in Porous Media Comprised of Different Rock Types

2014 ◽  
Vol 668-669 ◽  
pp. 1493-1496
Author(s):  
Yun Xiao Ding
Keyword(s):  
Porous Media ◽  
Adaptive Mesh Refinement ◽  
Good Accuracy ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Heterogeneous Porous Media ◽  
Oil Reservoir ◽  
Rock Types ◽  
Steam Flooding ◽  
Three Phase

In this paper we develop an adaptive mesh refinement (AMR) algorithm for solving the non-isothermal three-phase flows in heterogeneous porous media such as steam flooding in heavy oil reservoir. This porous media are made up of different rock types. The refinement criteria are proposed to overcome the difficulty that the saturation is discontinuous across the interface of two different rock types. Since the ratios of relative permeability between different rock types are found to be continuous, they are chosen as the control parameters to perform the refining and coarsening operations. The numerical examples show that the proposed AMR algorithm is fast with good accuracy.

An adaptive mesh refinement algorithm for compressible two-phase flow in porous media

2011 ◽  
Vol 16 (3) ◽  
pp. 577-592 ◽  
Author(s):  
George Shu Heng Pau ◽  
John B. Bell ◽  
Ann S. Almgren ◽  
Kirsten M. Fagnan ◽  
Michael J. Lijewski
Keyword(s):  
Porous Media ◽  
Adaptive Mesh Refinement ◽  
Two Phase Flow ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Two Phase ◽  
Refinement Algorithm

Multi-level adaptive solution of anisotropic porous media flow with strong discontinuous jumps in permeability

2011 ◽  
Vol 225 (4) ◽  
pp. 853-868
Author(s):  
Y C Lee ◽  
P H Gaskell
Keyword(s):  
Porous Media ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Weighted Average ◽  
Adaptive Mesh ◽  
Porous Media Flow ◽  
Benchmark Problems ◽  
Anisotropic Porous Media ◽  
Preservation Method ◽  
Multi Level

A fast and robust multi-grid algorithm for the efficient solution of diffusion-like, elliptic problems which exhibit strong discontinuous jumps in diffusivity is presented. Although generally applicable to this class of problem, the focus for illustrative purposes is that of porous media flow; in particular, such flows for which accurate solutions can only be achieved if the full permeability tensor is taken into consideration. The merits of adopting one or the other of two different approaches to deriving a discrete analogue to the steady-state Darcy equation, namely a novel weighted average of permeability formulation and a continuity of flux preservation method, are explored. In addition, automatic mesh refinement is incorporated seamlessly via a multi-level adaptive technique, making full use of the local truncation error estimates available from the inclusive full approximation storage scheme. Adaptive cell- and patch-wise mesh refinement strategies are developed and investigated for this purpose and used to solve a sequence of benchmark problems of increasing complexity. The results obtained reveal: (a) the ease with which the overall approach deals with generating accurate solutions for flows involving both distributed anisotropy and strong discontinuous jumps in permeability; (b) that both discrete analogues produce equivalent results in comparable execution times; and (c) the significant reductions in computing resource, memory, and CPU, to accrue from employing automatic adaptive mesh refinement.

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