Improved extraction of hydrologic information from geophysical data through coupled hydrogeophysical inversion Page: 3 of 47
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Introduction
Quantitative subsurface hydrologic analysis is based on the conceptualization, development, and
testing of hydrologic models [Neuman et al., 2003]. Model conceptualization is the process of
observing a system and proposing a simplified representation of the system that incorporates the
features deemed important to the processes under observation (e.g. water flow or solute
transport). Model development translates the proposed conceptual model (or models) to a
mathematical or numerical model(s) that can be used to test a hydrologic hypothesis. Model
testing is an analytical process, wherein the predictions of the model(s) are compared
quantitatively with the available data. The goals of model testing are: to find the values of the
adjustable parameters in a model that result in the best fit of the model predictions to the data
(calibration) [e.g. Kim et al., 1999; Poeter and Hill, 1999, Vrugt et al., 2009b]; to quantify the
goodness of fit and assess parameter non-uniqueness for the calibrated model [e.g. Vrugt et al.,
2003; Mugunthan and Shoemaker, 2006]; and, increasingly, to compare the goodness of fit of
multiple models to the data [Neuman, 2003; Ye et al., 2004; Troldborg et al., 2007, Vrugt and
Robinson, 2007]. The results of model testing can be used to revise model conceptualization
and/or development as well as to guide the design of future data collection activities. In short,
the three phases of model-based hydrologic analysis can be described as: 1) hypothesizing which
subsurface structures and processes are significant; 2) translating this hypothesis into
mathematical expressions and parameterizations; and 3) testing the hydrologic models against
observations.
To test multiple conceptual or mathematical models effectively, the inverse approach used for
parameter calibration must be efficient in extracting relevant information from the observed data.-3-
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Hinnell, A.C.; Ferre, T.P.A.; Vrugt, J.A.; Huisman, J.A.; Moysey, S.; Rings, J. et al. Improved extraction of hydrologic information from geophysical data through coupled hydrogeophysical inversion, article, November 1, 2009; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc1014464/m1/3/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.