Moment inference from tomograms

Geophysical Research Letters
By: , and 

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Abstract

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.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Moment inference from tomograms
Series title Geophysical Research Letters
DOI 10.1029/2007GL031621
Volume 34
Issue 22
Year Published 2007
Language English
Publisher AGU
Contributing office(s) OGW Branch of Geophysics, Toxic Substances Hydrology Program
Description L22404; 6 p.
First page 1
Last page 6