TITLE Example 13C.--1 mmol/l NaCl/NO3 enters column with stagnant zones. 5 layer stagnant zone with finite differences. SOLUTION 0 # 1 mmol/l NaCl units mmol/l pH 7.0 pe 13.0 O2(g) -0.7 Na 1.0 # Na has Retardation = 2 Cl 1.0 # Cl has Retardation = 1, stagnant exchange N(5) 1.0 # NO3 is conservative # charge imbalance is no problem ... END SOLUTION 1-121 units mmol/l pH 7.0 pe 13.0 O2(g) -0.7 K 1.0 N(5) 1.0 EXCHANGE_SPECIES # For linear exchange, make KX exch. coeff. equal to NaX K+ + X- = KX log_k 0.0 -gamma 3.5 0.015 EXCHANGE 1-121 -equilibrate 1 X 1.e-3 END PRINT -reset false -echo_input true -status false MIX 1; 1 0.90712; 22 0.09288 MIX 22; 1 0.57098; 22 0.21656; 42 0.21246 MIX 42; 22 0.35027; 42 0.45270; 62 0.19703 MIX 62; 42 0.38368; 62 0.44579; 82 0.17053 MIX 82; 62 0.46286; 82 0.42143; 102 0.11571 MIX 102; 82 0.81000; 102 0.19000 MIX 2; 2 0.90712; 23 0.09288 MIX 23; 2 0.57098; 23 0.21656; 43 0.21246 MIX 43; 23 0.35027; 43 0.45270; 63 0.19703 MIX 63; 43 0.38368; 63 0.44579; 83 0.17053 MIX 83; 63 0.46286; 83 0.42143; 103 0.11571 MIX 103; 83 0.81000; 103 0.19000 MIX 3; 3 0.90712; 24 0.09288 MIX 24; 3 0.57098; 24 0.21656; 44 0.21246 MIX 44; 24 0.35027; 44 0.45270; 64 0.19703 MIX 64; 44 0.38368; 64 0.44579; 84 0.17053 MIX 84; 64 0.46286; 84 0.42143; 104 0.11571 MIX 104; 84 0.81000; 104 0.19000 MIX 4; 4 0.90712; 25 0.09288 MIX 25; 4 0.57098; 25 0.21656; 45 0.21246 MIX 45; 25 0.35027; 45 0.45270; 65 0.19703 MIX 65; 45 0.38368; 65 0.44579; 85 0.17053 MIX 85; 65 0.46286; 85 0.42143; 105 0.11571 MIX 105; 85 0.81000; 105 0.19000 MIX 5; 5 0.90712; 26 0.09288 MIX 26; 5 0.57098; 26 0.21656; 46 0.21246 MIX 46; 26 0.35027; 46 0.45270; 66 0.19703 MIX 66; 46 0.38368; 66 0.44579; 86 0.17053 MIX 86; 66 0.46286; 86 0.42143; 106 0.11571 MIX 106; 86 0.81000; 106 0.19000 MIX 6; 6 0.90712; 27 0.09288 MIX 27; 6 0.57098; 27 0.21656; 47 0.21246 MIX 47; 27 0.35027; 47 0.45270; 67 0.19703 MIX 67; 47 0.38368; 67 0.44579; 87 0.17053 MIX 87; 67 0.46286; 87 0.42143; 107 0.11571 MIX 107; 87 0.81000; 107 0.19000 MIX 7; 7 0.90712; 28 0.09288 MIX 28; 7 0.57098; 28 0.21656; 48 0.21246 MIX 48; 28 0.35027; 48 0.45270; 68 0.19703 MIX 68; 48 0.38368; 68 0.44579; 88 0.17053 MIX 88; 68 0.46286; 88 0.42143; 108 0.11571 MIX 108; 88 0.81000; 108 0.19000 MIX 8; 8 0.90712; 29 0.09288 MIX 29; 8 0.57098; 29 0.21656; 49 0.21246 MIX 49; 29 0.35027; 49 0.45270; 69 0.19703 MIX 69; 49 0.38368; 69 0.44579; 89 0.17053 MIX 89; 69 0.46286; 89 0.42143; 109 0.11571 MIX 109; 89 0.81000; 109 0.19000 MIX 9; 9 0.90712; 30 0.09288 MIX 30; 9 0.57098; 30 0.21656; 50 0.21246 MIX 50; 30 0.35027; 50 0.45270; 70 0.19703 MIX 70; 50 0.38368; 70 0.44579; 90 0.17053 MIX 90; 70 0.46286; 90 0.42143; 110 0.11571 MIX 110; 90 0.81000; 110 0.19000 MIX 10; 10 0.90712; 31 0.09288 MIX 31; 10 0.57098; 31 0.21656; 51 0.21246 MIX 51; 31 0.35027; 51 0.45270; 71 0.19703 MIX 71; 51 0.38368; 71 0.44579; 91 0.17053 MIX 91; 71 0.46286; 91 0.42143; 111 0.11571 MIX 111; 91 0.81000; 111 0.19000 MIX 11; 11 0.90712; 32 0.09288 MIX 32; 11 0.57098; 32 0.21656; 52 0.21246 MIX 52; 32 0.35027; 52 0.45270; 72 0.19703 MIX 72; 52 0.38368; 72 0.44579; 92 0.17053 MIX 92; 72 0.46286; 92 0.42143; 112 0.11571 MIX 112; 92 0.81000; 112 0.19000 MIX 12; 12 0.90712; 33 0.09288 MIX 33; 12 0.57098; 33 0.21656; 53 0.21246 MIX 53; 33 0.35027; 53 0.45270; 73 0.19703 MIX 73; 53 0.38368; 73 0.44579; 93 0.17053 MIX 93; 73 0.46286; 93 0.42143; 113 0.11571 MIX 113; 93 0.81000; 113 0.19000 MIX 13; 13 0.90712; 34 0.09288 MIX 34; 13 0.57098; 34 0.21656; 54 0.21246 MIX 54; 34 0.35027; 54 0.45270; 74 0.19703 MIX 74; 54 0.38368; 74 0.44579; 94 0.17053 MIX 94; 74 0.46286; 94 0.42143; 114 0.11571 MIX 114; 94 0.81000; 114 0.19000 MIX 14; 14 0.90712; 35 0.09288 MIX 35; 14 0.57098; 35 0.21656; 55 0.21246 MIX 55; 35 0.35027; 55 0.45270; 75 0.19703 MIX 75; 55 0.38368; 75 0.44579; 95 0.17053 MIX 95; 75 0.46286; 95 0.42143; 115 0.11571 MIX 115; 95 0.81000; 115 0.19000 MIX 15; 15 0.90712; 36 0.09288 MIX 36; 15 0.57098; 36 0.21656; 56 0.21246 MIX 56; 36 0.35027; 56 0.45270; 76 0.19703 MIX 76; 56 0.38368; 76 0.44579; 96 0.17053 MIX 96; 76 0.46286; 96 0.42143; 116 0.11571 MIX 116; 96 0.81000; 116 0.19000 MIX 16; 16 0.90712; 37 0.09288 MIX 37; 16 0.57098; 37 0.21656; 57 0.21246 MIX 57; 37 0.35027; 57 0.45270; 77 0.19703 MIX 77; 57 0.38368; 77 0.44579; 97 0.17053 MIX 97; 77 0.46286; 97 0.42143; 117 0.11571 MIX 117; 97 0.81000; 117 0.19000 MIX 17; 17 0.90712; 38 0.09288 MIX 38; 17 0.57098; 38 0.21656; 58 0.21246 MIX 58; 38 0.35027; 58 0.45270; 78 0.19703 MIX 78; 58 0.38368; 78 0.44579; 98 0.17053 MIX 98; 78 0.46286; 98 0.42143; 118 0.11571 MIX 118; 98 0.81000; 118 0.19000 MIX 18; 18 0.90712; 39 0.09288 MIX 39; 18 0.57098; 39 0.21656; 59 0.21246 MIX 59; 39 0.35027; 59 0.45270; 79 0.19703 MIX 79; 59 0.38368; 79 0.44579; 99 0.17053 MIX 99; 79 0.46286; 99 0.42143; 119 0.11571 MIX 119; 99 0.81000; 119 0.19000 MIX 19; 19 0.90712; 40 0.09288 MIX 40; 19 0.57098; 40 0.21656; 60 0.21246 MIX 60; 40 0.35027; 60 0.45270; 80 0.19703 MIX 80; 60 0.38368; 80 0.44579; 100 0.17053 MIX 100; 80 0.46286; 100 0.42143; 120 0.11571 MIX 120; 100 0.81000; 120 0.19000 MIX 20; 20 0.90712; 41 0.09288 MIX 41; 20 0.57098; 41 0.21656; 61 0.21246 MIX 61; 41 0.35027; 61 0.45270; 81 0.19703 MIX 81; 61 0.38368; 81 0.44579; 101 0.17053 MIX 101; 81 0.46286; 101 0.42143; 121 0.11571 MIX 121; 101 0.81000; 121 0.19000 TRANSPORT -cells 20 -shifts 5 -flow_direction forward -time_step 3600 -boundary_conditions flux flux -diffusion_coefficient 0.0 -lengths 20*0.1 -dispersivities 20*0.015 -stagnant 5 END SOLUTION 0 # Original solution reenters units mmol/l pH 7.0 pe 13.0 O2(g) -0.7 K 1.0 N(5) 1.0 END SELECTED_OUTPUT -file ex13c.sel -reset false -distance true -solution USER_PUNCH -headings Cl_mmol Na_mmol 10 PUNCH TOT("Cl")*1000, TOT("Na")*1000 TRANSPORT -shifts 10 -punch_cells 1-20 -punch_frequency 10 USER_GRAPH 1 Example 13C -headings Distance Na Cl -chart_title "Dual Porosity, Finite-Difference Approximation" -axis_titles "Distance, in meters" "Millimoles per kilogram water" -axis_scale x_axis 0 2 -axis_scale y_axis 0 0.8 -plot_concentration_vs x -start 10 GRAPH_X DIST 20 GRAPH_Y TOT("Na")*1000 TOT("Cl")*1000 -end END