Parameter identification using the level set method

Statistics – Computation

Scientific paper

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Hydrology: Computational Hydrology, Hydrology: Groundwater Hydrology, Hydrology: Model Calibration (3333), Mathematical Geophysics: Inverse Theory, Mathematical Geophysics: Probabilistic Forecasting (3238)

Scientific paper

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.

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