### 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 |

### Fingerprint

### 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

*Geophysical and Astrophysical Fluid Dynamics*,

*104*(4), 309-322. https://doi.org/10.1080/03091921003610152

**A linear model of conduit waves in karstic aquifers.** / Loper, David E.; Eltayeb, Ibrahim.

Research output: Contribution to journal › Article

*Geophysical and Astrophysical Fluid Dynamics*, vol. 104, no. 4, pp. 309-322. https://doi.org/10.1080/03091921003610152

}

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 -