### 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 language | English (US) |
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Title of host publication | Proceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004 |

Editors | E. Slob, A. Yarovoy, J.B. Rhebergen |

Pages | 719-722 |

Number of pages | 4 |

State | Published - Dec 1 2004 |

Event | Proceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004 - Delft, Netherlands Duration: Jun 21 2004 → Jun 24 2004 |

### Publication series

Name | Proceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004 |
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Volume | 2 |

### Other

Other | Proceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004 |
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Country | Netherlands |

City | Delft |

Period | 6/21/04 → 6/24/04 |

### Keywords

- Borehole radar
- Hydraulic properties
- Inversion

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

*Proceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004*(pp. 719-722). [SCN.3] (Proceedings of the Tenth International Conference Ground Penetrating Radar, GPR 2004; Vol. 2).