Analytical solutions for steady groundwater flow through aquifer folds and faults

Deformations of the earth’s crust create tortuous paths for groundwater flow, altering pressure distributions and flow lines. A solution for steady groundwater flow through a deformed aquifer is derived by applying the singular point method using a rectangular reference plane. The singular point met...

Full description

Saved in:
Bibliographic Details
Published inJournal of engineering mathematics Vol. 149; no. 1
Main Authors Bakker, Mark, Anderson, Erik
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2024
Springer Nature B.V
Subjects
Applications of Mathematics
Aquifers
Computational Mathematics and Numerical Analysis
Conformal mapping
Deformation
Exact solutions
Flow mapping
Groundwater flow
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Method of images
Stagnation point
Theoretical and Applied Mechanics
Faults
Groundwater
Folds
Conformal mapping
Analytical
Online AccessGet full text

Cover

More Information
Summary:Deformations of the earth’s crust create tortuous paths for groundwater flow, altering pressure distributions and flow lines. A solution for steady groundwater flow through a deformed aquifer is derived by applying the singular point method using a rectangular reference plane. The singular point method is used to develop conformal mappings with complex geometries using basic principles of groundwater mechanics including superposition, the method of images, and stagnation point analysis. The derived solution contains three parameters that can be chosen to simulate flow through a variety of deformed aquifers, including flow through a normal fault with a 90 ∘ dip, flow through a fold, and flow through a relay ramp.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-024-10405-8