Hydraulic parameter estimation with a constant water flux boundary using zero-offset borehole radar

Dale F. Rucker, Ty P.A. Ferré

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A ray tracing algorithm for first arrival travel times from zero-offset borehole radar is coupled with an analytical solution to the one dimensional unsaturated water flow equation with a constant flux top boundary condition to invert for soil hydraulic properties. The analytical solution for Richards' equation relies on a non dimensional form of Burger's equation using a Broadbridge and White (BW) soil. The BW soil is described with three parameters: saturated hydraulic conductivity (K s), sorptivity (S), and a dimensionless parameter (C). The ray tracing algorithm makes use of the the arrival time of first arriving waves (direct or critically refracted) to track the wetting front through the subsurface during infiltration. From the time series of first arrival travel time data collected from one depth, the K s can be determined, provided that the wetting front was sharp enough to cause critical refraction at its edge. To determine the other parameters uniquely, co-located pressure head data is needed from the dry range.

Original languageEnglish (US)
Title of host publicationProceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004
EditorsE. Slob, A. Yarovoy, J.B. Rhebergen
Pages719-722
Number of pages4
StatePublished - Dec 1 2004
EventProceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004 - Delft, Netherlands
Duration: Jun 21 2004Jun 24 2004

Publication series

NameProceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004
Volume2

Other

OtherProceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004
CountryNetherlands
CityDelft
Period6/21/046/24/04

Keywords

  • Borehole radar
  • Hydraulic properties
  • Inversion

ASJC Scopus subject areas

  • Engineering(all)

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