Dip and Anisotropy Effects on Flow Using a Vertically Skewed Model Grid

John R. Hoaglund; David Pollard

doi:10.1111/j.1745-6584.2003.tb02425.x

Dip and Anisotropy Effects on Flow Using a Vertically Skewed Model Grid

John R. Hoaglund, David Pollard

Earth and Environmental Systems Institute

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Darcy flow equations relating vertical and bedding-parallel flow to vertical and bedding-parallel gradient components are derived for a skewed Cartesian grid in a vertical plane, correcting for structural dip given the principal hydraulic conductivities in bedding-parallel and bedding-orthogonal directions. Incorrect-minus-correct flow error results are presented for ranges of structural dip (0 ≤ θ ≤ 90) and gradient directions (0 ≤ φ ≤ 360). The equations can be coded into ground water models (e.g., MODFLOW) that can use a skewed Cartesian coordinate system to simulate flow in structural terrain with deformed bedding planes. Models modified with these equations will require input arrays of strike and dip, and a solver that can handle off-diagonal hydraulic conductivity terms.

Original language	English (US)
Pages (from-to)	841-846
Number of pages	6
Journal	Ground water
Volume	41
Issue number	6
DOIs	https://doi.org/10.1111/j.1745-6584.2003.tb02425.x
State	Published - Nov 2003

All Science Journal Classification (ASJC) codes

Water Science and Technology
Computers in Earth Sciences

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10.1111/j.1745-6584.2003.tb02425.x

Cite this

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title = "Dip and Anisotropy Effects on Flow Using a Vertically Skewed Model Grid",

abstract = "Darcy flow equations relating vertical and bedding-parallel flow to vertical and bedding-parallel gradient components are derived for a skewed Cartesian grid in a vertical plane, correcting for structural dip given the principal hydraulic conductivities in bedding-parallel and bedding-orthogonal directions. Incorrect-minus-correct flow error results are presented for ranges of structural dip (0 ≤ θ ≤ 90) and gradient directions (0 ≤ φ ≤ 360). The equations can be coded into ground water models (e.g., MODFLOW) that can use a skewed Cartesian coordinate system to simulate flow in structural terrain with deformed bedding planes. Models modified with these equations will require input arrays of strike and dip, and a solver that can handle off-diagonal hydraulic conductivity terms.",

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T1 - Dip and Anisotropy Effects on Flow Using a Vertically Skewed Model Grid

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AB - Darcy flow equations relating vertical and bedding-parallel flow to vertical and bedding-parallel gradient components are derived for a skewed Cartesian grid in a vertical plane, correcting for structural dip given the principal hydraulic conductivities in bedding-parallel and bedding-orthogonal directions. Incorrect-minus-correct flow error results are presented for ranges of structural dip (0 ≤ θ ≤ 90) and gradient directions (0 ≤ φ ≤ 360). The equations can be coded into ground water models (e.g., MODFLOW) that can use a skewed Cartesian coordinate system to simulate flow in structural terrain with deformed bedding planes. Models modified with these equations will require input arrays of strike and dip, and a solver that can handle off-diagonal hydraulic conductivity terms.

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Dip and Anisotropy Effects on Flow Using a Vertically Skewed Model Grid

Abstract

All Science Journal Classification (ASJC) codes

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