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Penetration Model Parameter Estimation from Dynamic Permeability Measurements
Author(s) -
Ravi Varadhan,
Jennings Aaron A.
Publication year - 1990
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1990.03615995005400010003x
Subject(s) - nonlinear system , estimation theory , penetration (warfare) , piecewise , computer science , differentiable function , mathematical optimization , permeability (electromagnetism) , biological system , mathematics , algorithm , mathematical analysis , chemistry , physics , biochemistry , operations research , quantum mechanics , membrane , biology
Several discrete interface‐penetration models have been proposed to quantify the permeability impacts of strong soil/solute interactions. Although it has been demonstrated that these models are capable of reproducing many of the response patterns observed in laboratory studies, their nonlinear, piecewise differentiable, implicit time boundary structure compounds efforts at formal parameter estimation. A modified Levenberg‐Marquardt algorithm is presented to resolve the constrained optimization problem of penetration‐model calibration. Examples are also presented to demonstrate that optimum parameter sets may be extracted from typical laboratory data, and to illustrate how results may be used to infer proper modeling strategies.