Sensitivity of temporal moments calculated by the adjoint-state method and joint inversing of head and tracer data

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Geostatistical inference of hydraulic conductivity and dispersivities from hydraulic heads and tracer data (2006, methodology): “the difference to simulated values using uniform best fit values for K, a‘, and at. (top) ‘‘Uniform a,’’ illustrating the performance of the predecessor method by Cirpka and Kitanidis [2000a] that does not use measurements of m2cn and does not estimate spatially variable dispersivities.”
A modified Levenberg-Marquardt algorithm for quasi-linear geostatistical inversing (2004, methodology): “The algorithm introduced by Kitanidis [11] covers the case of unknown mean.”
Large‐scale hydraulic tomography and joint inversion of head and tracer data using the Principal Component Geostatistical Approach (PCGA) (2014, methodology): “Instead of the entire concentration history, the mean travel time of the tracer data was used in the inversion because temporal moments of the transient tracer inversion data is better suited for the tracer inversion [Harvey and Gorelick, 1995; Ezzedine and Rubin, 1996; Cirpka and Kitanidis, 2000].”