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Fines Migration in Aquifers and Oilfields: Laboratory and Mathematical Modelling Read chapter Read first chapter

2018 | OriginalPaper | Chapter

A Comparative Analysis of Mixed Finite Element and Conventional Finite Element Methods for One-Dimensional Steady Heterogeneous Darcy Flow

Authors : Debasmita Misra, John L. Nieber

Published in: Flow and Transport in Subsurface Environment

Publisher: Springer Singapore

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Abstract

Accurate simulation of Darcy flux is essential to simulate contaminant transport in groundwater accurately. The mixed finite element method has been used to obtain highly accurate flux distribution in groundwater flow applications. However, the method has not been widely adopted because of the lack of understanding of its merits, lack of comparison of its solution to those obtained from conventional schemes, and the usually mathematically rigorous presentation of the theory behind the method, which is not easily comprehensible. Hence, the objective of this paper is to present a simplified conceptual description of the mixed finite element method, to compare the solutions obtained from the method to those of the conventional finite element methods and to analyze any special properties of the solutions obtained from the mixed finite element methods. It has been shown in this paper that the solutions obtained from the mixed finite element method are highly accurate in rapidly changing flux distributions and heterogeneous flow distributions even when coarse grids are used to obtain the solution.

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previous chapter Numerical Simulation of Flows in a Channel with Impermeable and Permeable Walls Using Finite Volume Methods
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Metadata
Title
A Comparative Analysis of Mixed Finite Element and Conventional Finite Element Methods for One-Dimensional Steady Heterogeneous Darcy Flow
Authors
Debasmita Misra
John L. Nieber
Copyright Year
2018
Publisher
Springer Singapore
Book
Flow and Transport in Subsurface Environment

Print ISBN: 978-981-10-8772-1

Electronic ISBN: 978-981-10-8773-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-8773-8_5

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