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• W2089614522 abstract "This paper deals with data reconstruction problem for a real disturbed soil-column experiment using an optimal perturbation regularization algorithm. A purpose of doing the experiment is to simulate and study transport behaviors of Ca<sup >2+</sup>, Na<sup >+</sup>, Mg<sup >2+</sup>, K<sup >+</sup>, <svg style=vertical-align:-4.05913pt;width:40.974998px; id=M1 height=19.0375 version=1.1 viewBox=0 0 40.974998 19.0375 width=40.974998 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,19.0375)> <g transform=translate(72,-56.77)> <text transform=matrix(1,0,0,-1,-71.95,60.86)> <tspan style=font-size: 12.50px; x=0 y=0>S</tspan> <tspan style=font-size: 12.50px; x=6.9516678 y=0>O</tspan> </text> <text transform=matrix(1,0,0,-1,-50.14,66.03)> <tspan style=font-size: 8.75px; x=0 y=0>2</tspan> <tspan style=font-size: 8.75px; x=4.3759999 y=0>−</tspan> </text> <text transform=matrix(1,0,0,-1,-55.97,56.82)> <tspan style=font-size: 8.75px; x=0 y=0>4</tspan> </text> </g> </g> </svg>, <svg style=vertical-align:-4.182pt;width:37.950001px; id=M2 height=15.9 version=1.1 viewBox=0 0 37.950001 15.9 width=37.950001 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,15.9)> <g transform=translate(72,-59.28)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>N</tspan> <tspan style=font-size: 12.50px; x=8.9021358 y=0>O</tspan> </text> <text transform=matrix(1,0,0,-1,-48.18,68.67)> <tspan style=font-size: 8.75px; x=0 y=0>−</tspan> </text> <text transform=matrix(1,0,0,-1,-54.02,59.45)> <tspan style=font-size: 8.75px; x=0 y=0>3</tspan> </text> </g> </g> </svg>, <svg style=vertical-align:-4.182pt;width:48.400002px; id=M3 height=15.9 version=1.1 viewBox=0 0 48.400002 15.9 width=48.400002 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,15.9)> <g transform=translate(72,-59.28)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>H</tspan> <tspan style=font-size: 12.50px; x=9.0271664 y=0>C</tspan> <tspan style=font-size: 12.50px; x=17.266644 y=0>O</tspan> </text> <text transform=matrix(1,0,0,-1,-39.82,68.67)> <tspan style=font-size: 8.75px; x=0 y=0>−</tspan> </text> <text transform=matrix(1,0,0,-1,-45.66,59.45)> <tspan style=font-size: 8.75px; x=0 y=0>3</tspan> </text> </g> </g> </svg>, and Cl<sup >&#x2212;</sup> when they vertically penetrating through sandy soils. By data analysis to breakthrough data of the eight kinds of solute ions, two kinds of models describing their transport behaviors in the column are given. One is the advection-dispersion equation with time-dependent reaction terms suitable for three ions of <svg style=vertical-align:-4.182pt;width:48.400002px; id=M4 height=15.9 version=1.1 viewBox=0 0 48.400002 15.9 width=48.400002 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,15.9)> <g transform=translate(72,-59.28)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>H</tspan> <tspan style=font-size: 12.50px; x=9.0271664 y=0>C</tspan> <tspan style=font-size: 12.50px; x=17.266644 y=0>O</tspan> </text> <text transform=matrix(1,0,0,-1,-39.82,68.67)> <tspan style=font-size: 8.75px; x=0 y=0>−</tspan> </text> <text transform=matrix(1,0,0,-1,-45.66,59.45)> <tspan style=font-size: 8.75px; x=0 y=0>3</tspan> </text> </g> </g> </svg>, <svg style=vertical-align:-4.182pt;width:37.950001px; id=M5 height=15.9 version=1.1 viewBox=0 0 37.950001 15.9 width=37.950001 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,15.9)> <g transform=translate(72,-59.28)> <text transform=matrix(1,0,0,-1,-71.95,63.5)> <tspan style=font-size: 12.50px; x=0 y=0>N</tspan> <tspan style=font-size: 12.50px; x=8.9021358 y=0>O</tspan> </text> <text transform=matrix(1,0,0,-1,-48.18,68.67)> <tspan style=font-size: 8.75px; x=0 y=0>−</tspan> </text> <text transform=matrix(1,0,0,-1,-54.02,59.45)> <tspan style=font-size: 8.75px; x=0 y=0>3</tspan> </text> </g> </g> </svg>, and K<sup >+</sup>, the other is the ordinary advection-dispersion equation suitable for the rest ions. Furthermore, all the unknowns in each model are determined by utilizing the optimal perturbation regularization algorithm, respectively, and then the breakthrough data for each considered ion are reconstructed successfully. The inversion results show that the advection-dispersion model with suitable time-dependent reaction terms can be utilized to describe the experimental process and reconstruct the experimental data." @default.
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• W2089614522 title "Data Reconstruction for a Disturbed Soil-Column Experiment Using an Optimal Perturbation Regularization Algorithm" @default.
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