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

8 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 1 2003

All Science Journal Classification (ASJC) codes

Water Science and Technology
Computers in Earth Sciences

Access to Document

10.1111/j.1745-6584.2003.tb02425.x

Cite this

@article{3424cdf0f76645498f96ecbfb0801533,

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.",

author = "Hoaglund, {John R.} and David Pollard",

year = "2003",

month = nov,

day = "1",

doi = "10.1111/j.1745-6584.2003.tb02425.x",

language = "English (US)",

volume = "41",

pages = "841--846",

journal = "Ground water",

issn = "0017-467X",

publisher = "Wiley-Blackwell",

number = "6",

}

TY - JOUR

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

AU - Hoaglund, John R.

AU - Pollard, David

PY - 2003/11/1

Y1 - 2003/11/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0242574939&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242574939&partnerID=8YFLogxK

U2 - 10.1111/j.1745-6584.2003.tb02425.x

DO - 10.1111/j.1745-6584.2003.tb02425.x

M3 - Article

C2 - 14649867

AN - SCOPUS:0242574939

SN - 0017-467X

VL - 41

SP - 841

EP - 846

JO - Ground water

JF - Ground water

IS - 6

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this