This paper deals with data reconstruction problem for a real disturbed soil-column experiment\r\nusing an optimal perturbation regularization algorithm. A purpose of doing the experiment is to\r\nsimulate and study transport behaviors of Ca2, Na, Mg2, K, SO 2-\r\n4 , NO -\r\n3 , HCO -\r\n3 , and Cl-\r\nwhen they vertically penetrating through sandy soils. By data analysis to breakthrough data of the\r\neight kinds of solute ions, two kinds of models describing their transport behaviors in the column\r\nare given. One is the advection-dispersion equation with time-dependent reaction terms suitable\r\nfor three ions of HCO -\r\n3 , NO -\r\n3 , and K, the other is the ordinary advection-dispersion equation\r\nsuitable for the rest ions. Furthermore, all the unknowns in each model are determined by utilizing\r\nthe optimal perturbation regularization algorithm, respectively, and then the breakthrough data for\r\neach considered ion are reconstructed successfully. The inversion results show that the advectiondispersion\r\nmodel with suitable time-dependent reaction terms can be utilized to describe the\r\nexperimental process and reconstruct the experimental data.
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