Abstract
A conduit within an otherwise homogeneous aquifer changes the aquifer properties fundamentally, permitting the transmission of "conduit waves", involving variations of head and exchanges of water between conduit and matrix, for many kilometers. A linear theory of conduit waves is developed in case the hydraulic gradient associated with the waves is small compared with the regional gradient. This theory yields a decay rate λ and phase speed ν of harmonic waves in terms of the physical parameters of the aquifer and the wave frequency, ω. These theoretical results are combined with values of λ and λ, extracted from observations of water level in the Woodville Karst Plain (WKP) of North Florida, to obtain estimates of the conduit radius and aquifer permeability. Using the nearly semi-diurnal tidal mode, the comparison yields a mean conduit radius of 10 m and an effective permeability of 0.017 m s-1. This theory, which models an aquifer with a rigid, impermeable bottom, is incompatible with the observational data from the nearly diurnal tidal mode, suggesting that a model employing a floating bottom might be more appropriate for the WKP.
| Original language | English |
|---|---|
| Pages (from-to) | 309-322 |
| Number of pages | 14 |
| Journal | Geophysical and Astrophysical Fluid Dynamics |
| Volume | 104 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2010 |
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Keywords
- Aquifer
- Conduit
- Decay rate
- Karst
- Phase speed
- Waves
ASJC Scopus subject areas
- Geochemistry and Petrology
- Geophysics
- Computational Mechanics
- Mechanics of Materials
- Astronomy and Astrophysics
Cite this
A linear model of conduit waves in karstic aquifers. / Loper, David E.; Eltayeb, Ibrahim.
In: Geophysical and Astrophysical Fluid Dynamics, Vol. 104, No. 4, 2010, p. 309-322.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A linear model of conduit waves in karstic aquifers
AU - Loper, David E.
AU - Eltayeb, Ibrahim
PY - 2010
Y1 - 2010
N2 - A conduit within an otherwise homogeneous aquifer changes the aquifer properties fundamentally, permitting the transmission of "conduit waves", involving variations of head and exchanges of water between conduit and matrix, for many kilometers. A linear theory of conduit waves is developed in case the hydraulic gradient associated with the waves is small compared with the regional gradient. This theory yields a decay rate λ and phase speed ν of harmonic waves in terms of the physical parameters of the aquifer and the wave frequency, ω. These theoretical results are combined with values of λ and λ, extracted from observations of water level in the Woodville Karst Plain (WKP) of North Florida, to obtain estimates of the conduit radius and aquifer permeability. Using the nearly semi-diurnal tidal mode, the comparison yields a mean conduit radius of 10 m and an effective permeability of 0.017 m s-1. This theory, which models an aquifer with a rigid, impermeable bottom, is incompatible with the observational data from the nearly diurnal tidal mode, suggesting that a model employing a floating bottom might be more appropriate for the WKP.
AB - A conduit within an otherwise homogeneous aquifer changes the aquifer properties fundamentally, permitting the transmission of "conduit waves", involving variations of head and exchanges of water between conduit and matrix, for many kilometers. A linear theory of conduit waves is developed in case the hydraulic gradient associated with the waves is small compared with the regional gradient. This theory yields a decay rate λ and phase speed ν of harmonic waves in terms of the physical parameters of the aquifer and the wave frequency, ω. These theoretical results are combined with values of λ and λ, extracted from observations of water level in the Woodville Karst Plain (WKP) of North Florida, to obtain estimates of the conduit radius and aquifer permeability. Using the nearly semi-diurnal tidal mode, the comparison yields a mean conduit radius of 10 m and an effective permeability of 0.017 m s-1. This theory, which models an aquifer with a rigid, impermeable bottom, is incompatible with the observational data from the nearly diurnal tidal mode, suggesting that a model employing a floating bottom might be more appropriate for the WKP.
KW - Aquifer
KW - Conduit
KW - Decay rate
KW - Karst
KW - Phase speed
KW - Waves
UR - http://www.scopus.com/inward/record.url?scp=77954406942&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77954406942&partnerID=8YFLogxK
U2 - 10.1080/03091921003610152
DO - 10.1080/03091921003610152
M3 - Article
VL - 104
SP - 309
EP - 322
JO - Geophysical and Astrophysical Fluid Dynamics
JF - Geophysical and Astrophysical Fluid Dynamics
SN - 0309-1929
IS - 4
ER -