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Differentiating a Finite Element Biodegradation Simulation Model for Optimal Control
Author(s) -
Minsker Barbara S.,
Shoemaker Christine A.
Publication year - 1996
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 - 10.1029/95wr02969
Subject(s) - finite element method , optimal control , nonlinear system , bioremediation , mathematical optimization , biodegradation , computer science , mathematics , engineering , geology , structural engineering , chemistry , paleontology , physics , organic chemistry , quantum mechanics , bacteria
An optimal control model for improving the design of in situ bioremediation of groundwater has been developed. The model uses a finite element biodegradation simulation model called Bio2D to find optimal pumping strategies. Analytical derivatives of the bioremediation finite element model are derived; these derivatives must be computed for the optimal control algorithm. The derivatives are complex and nonlinear; the bulk of the computational effort in solving the optimal control problem is required to calculate the derivatives. An overview of the optimal control and simulation model formulations is also given.