Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1002/2015WR017845
Title (Primary) Estimating transmissivity from single-well pumping tests in heterogeneous aquifers
Author Pechstein, A.; Attinger, S.; Krieg, R.; Copty, N.K.
Journal Water Resources Research
Year 2016
Department CHS; CATHYD
Volume 52
Issue 1
Page From 495
Page To 510
Language englisch
Keywords groundwater flow; pumping test; heterogeneity; drawdown derivative; parameter estimation; flow connectivity
UFZ wide themes RU5;
Abstract Although aquifers are naturally heterogeneous, the interpretation of pumping tests is commonly performed under the assumption of aquifer homogeneity. This yields interpreted hydraulic parameters averaged over a domain of uncertain extent which disguises their relation to the underlying heterogeneity. In this study, we numerically investigate the sensitivity of the transient drawdown at the pumping well, to nonuniform distributions of transmissivity in confined aquifers. Frechet kernels and their time derivative are used to estimate two spatially averaged transmissivities, denoted the equivalent and interpreted transmissivity, Teq and Tin, respectively, for the case of single-well pumping tests. Interrelating Teq and Tin is achieved by modeling Tin in terms of a distance dependent, radially heterogeneous field. In weakly heterogeneous aquifers, Teq approximates TPW, the local transmissivity at the pumped well. With increasing degree of heterogeneity, Teq deviates from TPW as pumping propagates. Tin starts at TPW, approaching the spatial geometric mean of transmissivity during late pumping times. Limits of the proposed spatial weighting functions are investigated by treating the interpreted storativity, Sest, as an indicator for flow connectivity. It is shown numerically that the spatial weights for Teq and Tin agree well to the underlying heterogeneity if inline image. Finally, implications for applying the concepts of Teq and Tin to heterogeneous domains, and, for real world applications are discussed. It is found that time-dependent spatial averages of Tin agree well with estimates of the interpreted transmissivity from the Continuous-Derivation method.
Persistent UFZ Identifier
Pechstein, A., Attinger, S., Krieg, R., Copty, N.K. (2016):
Estimating transmissivity from single-well pumping tests in heterogeneous aquifers
Water Resour. Res. 52 (1), 495 - 510