Moment inference from tomograms

Details Moment inference from tomograms Moment inference from tomograms

Nov 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3422404d&link_type=abstract

Geophysical Research Letters, Volume 34, Issue 22, CiteID L22404

Statistics

Computation

11

Computational Geophysics: Data Analysis: Algorithms And Implementation, Hydrology: Numerical Approximations And Analysis, Hydrology: Hydrogeophysics, Hydrology: Instruments And Techniques: Modeling

Scientific paper

Time-lapse geophysical tomography can provide valuable qualitative insights into hydrologic transport phenomena associated with aquifer dynamics, tracer experiments, and engineered remediation. Increasingly, tomograms are used to infer the spatial and/or temporal moments of solute plumes; these moments provide quantitative information about transport processes (e.g., advection, dispersion, and rate-limited mass transfer) and controlling parameters (e.g., permeability, dispersivity, and rate coefficients). The reliability of moments calculated from tomograms is, however, poorly understood because classic approaches to image appraisal (e.g., the model resolution matrix) are not directly applicable to moment inference. Here, we present a semi-analytical approach to construct a moment resolution matrix based on (1) the classic model resolution matrix and (2) image reconstruction from orthogonal moments. Numerical results for radar and electrical-resistivity imaging of solute plumes demonstrate that moment values calculated from tomograms depend strongly on plume location within the tomogram, survey geometry, regularization criteria, and measurement error.

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