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ASTM Select Technical Papers
Subsurface Fluid-Flow (Ground-Water and Vadose Zone) Modeling
By
JD Ritchey
JD Ritchey
Editor
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JO Rumbaugh
JO Rumbaugh
Editor
Search for other works by this author on:
ISBN-10:
0-8031-2021-4
ISBN:
978-0-8031-2021-1
No. of Pages:
435
Publisher:
ASTM International
Publication date:
1996

Numerical models of ground-water flow have met with limited success when applied to aquifers in soluble rocks, commonly referred to as karstic aquifers. Although modeling of karstic processes is often possible and numerical flow models can sometimes simulate hydraulic heads, ground-water fluxes, and spring discharge, they often fail to correctly predict such fundamental information as flow direction, destination, and velocity. The poor performance of numerical models in karstic aquifers has resulted from: 1) inappropriate emphasis on the local scale when flow paths are often orders of magnitude longer, 2) the large amount of hydrogeologic data required to model such anisotropic, heterogeneous aquifers and the additional data requirements necessary to establish realistic boundary conditions 3) the necessity to develop models which incorporate triple continuum concepts, 4) the difficulty of properly characterizing and modeling transient events in karst aquifers and, 5) the inadequacy of laminar flow equations or Darcy's law to describe the flow in conduits in the aquifer. Most numerical models of ground-water flow in karst aquifers nevertheless continue to employ single-continuum porous-medium models such as MODFLOW and are based on invalid interpolation of inappropriate data collected far too infrequently from points that did not intersect preferential flow paths. Unfortunately, some of these modeling attempts have been substituted for the collection of the additional data that are essential to providing adequate characterization of ground-water flow at sites underlain by karstic aquifers.

1.
Ford
,
D. C.
, and
Williams
,
P. W.
, “
Karst Geomorphology and Hydrology
,”
Unwin Hyman
(
London
),
1989
, 601 p.
2.
Huntoon
,
P. W.
, “
Is it appropriate to apply porous media ground-water models to karstic aquifers?
” in El-Kadi, Aly, Groundwater models for resources analysis and management,
Lewis Publishers
,
1995
, p. 339–358.
3.
Huitt
,
J. L.
, “
Fluid Flow in Simulated Fractures
,”
American Institute of Chemical Engineering Journal
, v.
2
, no.
2
,
1956
, p. 259–264
4.
Worthington
,
S. R. H.
, “
Flow Velocity in Unconfined Paleozoic Carbonate Aquifers
Transactions of the British Cave Research Association, Cave and Karst Science
,
1994
, v.
21
, no.
1
, p. 21–22, [Conference Abstract for, Changing Karst Environments: Hydrogeology, Geomorphology, and Conservation, International Symposium, Universities of Oxford and Huddersfield,” September 1994].
5.
Domenico
,
T. A.
, and
Schwartz
,
F. W.
, “
Physical and Chemical Hydrogeology
,
John Wiley
,
New York
,
1990
, 824 p.
6.
Meredith
,
M.
,
Wooldridge
,
J
, and
Lyon
,
B.
, “
Giant Caves of Borneo
,”
Tropical Press
,
Kuala Lumpur
,
1992
, 142 p.
7.
Atkinson
,
T. C.
, and
Smart
,
P. L.
, (Eds.) “
Caves and Karst Southern England and South Wales
,” Guidebook for the International Congress of Speleology, Available from
British Cave Research Association
,
1977
, 83 p.
8.
Downing
,
R. A.
,
Price
,
M.
, and
Jones
,
G. P.
, “
The Hydrogeology of the Chalk of Northwest Europe
,”
Oxford Science Publications
,
1993
, 300 p.
9.
Downing
,
R. A.
,
Ashford
,
P. L.
,
Headworth
,
H. G.
,
Owen
,
M.
, and
Skinner
,
A. C.
, “
The use of groundwater for river augmentation
,” in A Survey of British Hydrology,
The Royal Society
,
1981
, p. 153–172.
10.
Atkinson
,
T. C.
, and
Smart
,
P. L.
, “
Artificial tracers in hydrogeology
,” in A Survey of British Hydrology,
The Royal Society
,
1981
, p.173–190.
11.
Atkinson
,
T. C.
, and
Smith
,
D. I.
, “
Rapid groundwater flow in fissures in the Chalk — an example from South Hampshire
Quarterly Journal of Engineering Geology
 0481-2085 v.
7
,
1974
, p. 197–205
12.
Crampon
,
N.
,
Roux
, and
Bracq
J. C.
, in collaboration with
Delay
,
F.
,
Lepiller
,
M.
,
Mary
,
G.
,
Rasplus
,
L.
, and
Alcaydé
,
G.
, “
France
,” in
Downing
,
R. A.
,
Price
,
M.
, and
Jones
,
G. P.
, (eds.) “
The Hydrogeology of the Chalk of Northwest Europe
,”
Oxford Science Publications
,
1993
, 300 p.
13.
Texas Department of Water Resources
, “
Geohydrology of Comal, San Marcos, and Hueco Springs
,” Report 234,
1979
, 85 p.
14.
Robinson
,
J. L.
, and
Hutchinson
,
C.B.
,
Ground-water tracer tests in west-central Florida
,
American Institude of Hydrology
, Abstracts, Annual Meeting,
1991
, p. 39.
15.
United States Geological Survey
, “
Comprehensive Appraisal of the Ground-Water Resources of the North Coast Limestone Area of Puerto Rico
,”
U.S. Department of the Interior
, Progress Report No. 8.
16.
Courbon
,
P.
,
Chabert
,
C.
,
Bosted
,
P.
, and
Lindsley
,
K.
, “
Atlas of the Great Caves of the World
,”
Cave Books
,
Missouri
,
1989
, 369 p.
17.
Atkinson
,
T. C.
, “
Diffuse flow and conduit flow in limestone terrain in the Mendip Hills, Somerset (Great Britain)
,”
Journal of Hydrology
 0022-1694, v.
35
,
1977
, p. 93–110.
18.
Vineyard
,
J.D.
and
Feder
,
G.L.
Springs of Missouri
”,
Missouri Department of Natural Resources
,
1982
, 212 p.
19.
Teutsch
,
G.
, and
Sauter
,
M.
, “
Ground water modelling in karst terranes: Scale effects, Data Acquisition, and Field Validation
, Proceedings, Hydrology, Ecology, Monitoring, and Management of Ground Water in Karst Terranes Conference, (3rd,
Nashville, Tenn.
)
National Ground Water Association
,
Dublin, Ohio
,
1992
, p. 17–38.
20.
Davies
,
G. J.
, and
Quinlan
,
J. F.
, “
The Oak Ridge carbonates are rapid-flow, slow-flow aquifers and are not diffuse-flow, equivalent porous medium aquifers
,”
Geological Society of America, Abstracts with Programs
 0016-7606,
1995
, v.
27
, n.
2
, p. 47.
21.
Konikow
,
L. F.
, and
Bredehoeft
,
J. D.
, “
Ground-water models cannot be validated
,”
Advanced Water Research
 0309-1708 v.
15
,
1995
, p. 75–83.
22.
White
,
W. B.
, and
White
,
E. L.
, “
Karst Hydrology: Concepts from the Mammoth Cave Area
,”
Van Nostrand Reinhold
, 346 p.
23.
Smart
,
C. C.
, “
The hydrology of the Castleguard karst, Columbia Icefields, Alberta, Canada
,”
Arctic and Alpine Research
 0004-0851, v.
15
, no.
4
,
1983
, p. 471–486.
24.
Worthington
,
S. R. H.
, “
Karst hydrology of the Canadian Rocky Mountains
,”
McMaster University
, Hamilton, Ontario, Canada, Ph. D. Thesis,
1991
, 380 p.
25.
Quinlan
,
J. F.
, and
Ray
,
J. A.
, “
Groundwater basins in the Mammoth Cave region, Kentucky
,” Friends of the Karst,
1989
, Occasional Publication 2.
26.
Quinlan
,
J.F.
,
Davies
,
G.J
, and
Worthington
,
S.R.H.
, “
Discussion of: Review of ground-water quality monitoring network design
,” by
Loaiciga
,
H.A.
,
Charbeneau
,
R.J.
,
Everett
,
L.G.
,
Fogg
,
G.E.
,
Hobbs
,
B.F.
, and
Rouhani
S.
,
Journal of Hydraulic Engineering
 0733-9429, v.
118
, No.
1
,
1992
,
American Society of Civil Engineers
,
1994
, p. 1436–1442.
27.
Benson
,
R. C.
, and
La Fountain
,
L. J.
, “
Evaluation of subsidence or collapse potential due to subsurface cavities
,” in,
Beck
,
B. F.
, Ed., Sinkholes, their Geology, Engineering and Environmental Impact,
1984
, p. 201–215.
28.
Lange
,
A. L.
, and
Kilty
,
K. T.
, “
Natural potential responses of karst systems at the ground surface
,” Proceedings, Hydrology, Ecology, Monitoring, and Management of Ground Water in Karst Terranes Conference, (3rd,
Nashville, Tenn.
)
National Ground Water Association
,
Dublin, Ohio
,
1992
, p. 179–196.
29.
Alexander
Klimchouk
, personal communication,
1994
.
30.
Headworth
,
H. G.
,
Keating
,
T.
, and
Packman
,
M. J.
, “
Evidence for a shallow highly-permeable zone in the Chalk of Hampshire, U.K.
,”
1982
,
Journal of Hydrology
 0022-1694, v.
55
, p. 93–112.
31.
Keating
,
T.
, “
A lumped parameter model of a Chalk aquifer-stream system in Hampshire, United Kingdom
,”
Ground Water
 0017-467X, v.
20
., no.
4
.,
1982
, p. 430–436.
32.
Ewers
,
R. O.
, personal communication,
1996
.
33.
Scott
,
J. C.
,
Harris
,
W. F.
, and
Cobb
,
R. H.
,
Geohydrology and Susceptibility of Coldwater Spring and Jacksonville Fault Areas to Surface Contamination in Calhoun County, Alabama, United States Geological Survey
, Water Resources Investigations report, 87-4031,
Alabama department of Environmental Management
, p. 20.
34.
McDonald
and
Harbaugh
, “
A modular three dimensional finite difference groundwater flow model
,”
1984
,
U.S. Geological Survey
, 528 p.
35.
Anderson
,
M. P.
, and
Woessner
,
W. W.
, “
Applied Groundwater Modeling
,”
Academic Press
,
1992
, 381 p.
36.
Geraghty and Miller, Inc.
, “
Development of ground-water flow models for the S-3 waste management area, Y-12 Plant, Oak Ridge, Tennessee
,” Prepared for
Martin Marietta Energy Systems, Inc.
, Y-12 Plant, Y/SUB/89-00206C/1,
1989
.
37.
Geraghty and Miller, Inc.
, “
Development of contaminant transport models for four consistuents at the S-3 site Y-12 Plant, Oak Ridge, Tennessee
,” Prepared for
Martin Marietta Energy Systems, Inc.
, Y-12 Plant, Y/ER/sub-84/00206/2,
1990
.
38.
Worthington
,
S. R. H.
,
Davies
,
G.J.
,
Ewers
,
R.O.
,
Smart
,
C. C.
, Research in progress.
39.
Smart
,
P. L.
,
Edwards
,
A. J.
,
Hobbs
,
S. L.
, “
Heterogeneity in Carbonate Aquifers; Effects of Scale, Fissurations, Lithology, and Karstification
” Proceedings, Hydrology, Ecology, Monitoring, and Management of Ground Water in Karst Terranes Conference, (3rd,
Nashville, Tenn.
)
National Ground Water Association
,
Dublin, Ohio
,
1992
, p. 373–388.
40.
CDM Federal Programs Coropration
, “
Union valley interim study remedial site evaluation
,” Prepared for
Martin Marietta Energy Systems, Inc.
, Y-12 Plant, Y/ER-206/R1,
1995
.
41.
Tennessee Department of Environment and Conservation, Department of Energy Oversight Division
, “
Environmental Monitoring Report January 1, 1995 – December 1, 1995
,”
1996
.
42.
Bailey
,
Z. C.
, and
Lee
,
R. W.
, “
Hydrogeology and Geochemistry in Bear Creek and Union Valleys near Oak Ridge, Tennessee
,” U.S.G.S. Water-Resources Investigations Report 90-4008, Nashville, Tennessee,
1991
, 72 p.
43.
David
Watson
, Personal Communication,
1995
.
44.
Dreiss
,
S. J.
, “
Linear Kernals for Karst Aquifers
,”
Water Resources Research
 0043-1397, v.
18
, no.
4
,
1982
, p. 856–876.
45.
Quinlan
,
J. F.
, “
Special problems of ground-water monitoring in karst terranes
,” Ground Water and Vadose Zone Monitoring, ASTM STP 1053,
Nielsen
D. M.
, and
Johnson
A. I.
, Eds.,
American Society for Testing and Maetrials
,
Philadelphia
,
1990
, p. 275–304.
46.
Quinlan
,
J. F.
,
Schindel
,
G. M.
, and
Davies
,
G. J.
, “
Principles for delineating boundaries of wellhead and springhead protection areas in carbonate terranes
,”
Geological Society of America, Abstracts with Programs
 0016-7606, v.
27
, no.
6
,
1995
, p. 47.
47.
Hetrick
,
D. M.
and
Scott
,
S. J.
, “
The New SESOIL User's Guide, Wisconsin Department of Natural Resources
,” PUBL-SW-200, Madison, Wisconsin,
1993
.
48.
U. S. Environmental Protection Agency
, “
Guidelines for Ground Water Classification under the EPA Ground Water Protection Strategy
,” Final Draft,
U.S. EPA
,
Washington, D.C
,
1986
.
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