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AGU: Geophysical Research Letters

 

Index Terms

  • Hydrology: Computational hydrology
  • Hydrology: Groundwater hydrology
  • Hydrology: Model calibration
  • Mathematical Geophysics: Inverse theory
  • Mathematical Geophysics: Probabilistic forecasting

Abstract

GEOPHYSICAL RESEARCH LETTERS, VOL. 33, L06404, 4 PP., 2006
doi:10.1029/2005GL025541

Parameter identification using the level set method

Zhiming Lu

Hydrology, Geochemistry, and Geology Group (EES-6), Los Alamos National Laboratory, Los Alamos, New Mexico, USA

Bruce A. Robinson

Hydrology, Geochemistry, and Geology Group (EES-6), Los Alamos National Laboratory, Los Alamos, New Mexico, USA

This study describes an inverse approach for efficiently identifying the spatial shapes of zones of low (or high) permeability using the level set method, given a set of spatially distributed head measurements. By this method, the boundaries of zones are characterized by a level set function. From an initial setting, the unknown regions of zones are determined by evolving the boundaries in artificial time using a pseudo velocity field that is related to the sensitivity of head to permeability and the residual between the measured head and modeled head at the current time. A synthetic example presented to illustrate the method.

Received 22 December 2005; accepted 9 February 2006; published 22 March 2006.

Citation: Lu, Z., and B. A. Robinson (2006), Parameter identification using the level set method, Geophys. Res. Lett., 33, L06404, doi:10.1029/2005GL025541.

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