## Abstract

A theoretical analysis of the inverse problem associated with a continuous model of groundwater flow indicates that, in general, the solution to this problem is nonunique and is extremely sensitive to minor errors in the model and the data. A similar difficulty is encountered when the flow equations are discretized in space by a numerical scheme such as the finite difference or finite element methods. In order to obtain a meaningful solution it is necessary to introduce additional criteria reflecting the modeler's subjective view point as to the most plausible shape of the solution surface. The absolute need to rely on such prior assumptions in dealing with the inverse problem means that information obtained from direct field and laboratory tests on the system to be simulated is a vital importance to the parameter identification process. A post-optimal sensitivity analysis is suggested as a means of ascertaining the reliability of each individual parameter obtained in this manner. Refs.

Original language | English (US) |
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Pages | 59-84 |

Number of pages | 26 |

State | Published - Jan 1 1975 |

Event | Int Fed of Inf Process (IFIP), Work Conf on Comput Simul of Water Resour Syst, Proc - Ghent, Belg Duration: Jul 30 1974 → Aug 2 1974 |

### Other

Other | Int Fed of Inf Process (IFIP), Work Conf on Comput Simul of Water Resour Syst, Proc |
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City | Ghent, Belg |

Period | 7/30/74 → 8/2/74 |

## ASJC Scopus subject areas

- Engineering(all)