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A comparison of methods to determine measurement support volumes
Author(s) -
Beckie Roger
Publication year - 2001
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2000wr900366
Subject(s) - deconvolution , identifiability , sensitivity (control systems) , filter (signal processing) , stability (learning theory) , computer science , scale (ratio) , block (permutation group theory) , function (biology) , algorithm , grid , mathematics , data mining , machine learning , engineering , computer vision , physics , geometry , quantum mechanics , electronic engineering , evolutionary biology , biology
We examine methods that can be used to identify the spatial filter function associated with the measurement of quantities on two scales. We divide the methods into two general classes: deconvolution methods and sensitivity‐based methods. We briefly describe the two classes of methods, provide examples of each from the literature, and introduce a new sensitivity‐based method inspired by Backus‐Gilbert model resolution ideas. We compare the approaches by examining the filter function that relates smaller‐scale grid block parameters to parameters determined by a Theis model interpretation of drawdown data. In general, we find that sensitivity approaches are easier to implement numerically and are less subject to the problems of identifiability, stability, and uniqueness associated with deconvolution methods.