A linear model of conduit waves in karstic aquifers

David E. Loper, Ibrahim Eltayeb

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)309-322
Number of pages14
JournalGeophysical and Astrophysical Fluid Dynamics
Volume104
Issue number4
DOIs
Publication statusPublished - 2010

Fingerprint

aquifers
Aquifers
aquifer
karst
plains
permeability
gradients
radii
Water levels
hydraulics
floating
water
decay rates
water level
Hydraulics
harmonics
matrix
Water
estimates
matrices

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 journalArticle

@article{f0968e84e5954dd3916a0fcc4419f57b,
title = "A linear model of conduit waves in karstic aquifers",
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.",
keywords = "Aquifer, Conduit, Decay rate, Karst, Phase speed, Waves",
author = "Loper, {David E.} and Ibrahim Eltayeb",
year = "2010",
doi = "10.1080/03091921003610152",
language = "English",
volume = "104",
pages = "309--322",
journal = "Geophysical and Astrophysical Fluid Dynamics",
issn = "0309-1929",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

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 -