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Table 1

Relative errors in percent (δ) in the cumulative infiltration using the TCA-based method compared to the results from the numerical solutions of the Richards equation (Hydrus-1D): (a) for constant rainfall rate event and (b) for variable rainfall event

r/Ksδ %r/Ksδ %r/Ksδ %r/Ksδ %
(a) Constant rainfall event 
Sand Loamy sand Sandy loam Loam 
1.1 0.07 1.1 0.01 1.3 −0.21 2.5 −0.62 
1.2 0.13 1.2 0.07 1.5 −0.19 3.5 −0.58 
1.3 0.20 1.3 0.14 1.7 −0.10 4.0 −0.47 
1.5 0.33 1.5 0.24 2.0 0.02 5.0 −0.18 
Silt Silt loam Sandy clay loam Clay loam 
4.0 −1.01 3.5 −1.49 1.5 −0.35 5.0 −2.29 
10.0 −2.83 5.0 −1.80 3.0 −0.31 8.0 −2.47 
15.0 −2.40 7.0 −1.71 4.0 −0.08 12.0 −1.93 
20.0 −1.90 10.0 −1.38 5.0 0.30 15.0 −1.62 
Silty clay loam Sandy clay Silty clay Clay 
10.0 −3.64 5.0 −3.08 15.0 −3.86 5.0 −1.48 
20.0 −4.48 20.0 −3.21 50.0 −3.47 10.0 −1.59 
40.0 −3.54 25.0 −2.48 55.0 −3.39 15.0 −0.95 
50.0 −2.88 30.0 −2.15 60.0 −3.33 20.0 −0.41 
(b) Variable rainfall event 
CV Sand Loamy sand Sandy loam Loam Silt Silt loam 
0.00 0.129 0.074 0.051 −0.611 −2.887 − 1.852 
0.05 0.119 0.084 0.004 −0.555 −2.792 − 1.864 
0.15 −0.044 −0.126 0.007 −0.556 −2.730 − 1.944 
0.25 −0.485 −0.451 −0.195 −0.659 −2.760 − 1.818 
0.35 −1.452 −1.036 −0.773 −0.704 −2.846 − 1.882 
0.45 −2.195 −1.505 −1.374 −0.811 −2.964 − 1.927 
CV Sandy clay loam Clay loam Silty clay loam Sandy clay Silty clay Clay 
0.00 −0.380 −2.299 −4.346 −3.293 −4.247 − 1.626 
0.05 −0.360 −2.363 −4.371 −3.394 −3.493 − 1.601 
0.15 −0.283 −2.287 −4.440 −3.067 −3.643 − 1.515 
0.25 −0.062 −2.559 −4.548 −2.869 −3.710 − 1.409 
0.35 0.194 −2.615 −4.538 −3.030 −3.355 − 1.377 
0.45 0.145 −2.758 −4.880 −3.018 −4.099 − 1.147 
r/Ksδ %r/Ksδ %r/Ksδ %r/Ksδ %
(a) Constant rainfall event 
Sand Loamy sand Sandy loam Loam 
1.1 0.07 1.1 0.01 1.3 −0.21 2.5 −0.62 
1.2 0.13 1.2 0.07 1.5 −0.19 3.5 −0.58 
1.3 0.20 1.3 0.14 1.7 −0.10 4.0 −0.47 
1.5 0.33 1.5 0.24 2.0 0.02 5.0 −0.18 
Silt Silt loam Sandy clay loam Clay loam 
4.0 −1.01 3.5 −1.49 1.5 −0.35 5.0 −2.29 
10.0 −2.83 5.0 −1.80 3.0 −0.31 8.0 −2.47 
15.0 −2.40 7.0 −1.71 4.0 −0.08 12.0 −1.93 
20.0 −1.90 10.0 −1.38 5.0 0.30 15.0 −1.62 
Silty clay loam Sandy clay Silty clay Clay 
10.0 −3.64 5.0 −3.08 15.0 −3.86 5.0 −1.48 
20.0 −4.48 20.0 −3.21 50.0 −3.47 10.0 −1.59 
40.0 −3.54 25.0 −2.48 55.0 −3.39 15.0 −0.95 
50.0 −2.88 30.0 −2.15 60.0 −3.33 20.0 −0.41 
(b) Variable rainfall event 
CV Sand Loamy sand Sandy loam Loam Silt Silt loam 
0.00 0.129 0.074 0.051 −0.611 −2.887 − 1.852 
0.05 0.119 0.084 0.004 −0.555 −2.792 − 1.864 
0.15 −0.044 −0.126 0.007 −0.556 −2.730 − 1.944 
0.25 −0.485 −0.451 −0.195 −0.659 −2.760 − 1.818 
0.35 −1.452 −1.036 −0.773 −0.704 −2.846 − 1.882 
0.45 −2.195 −1.505 −1.374 −0.811 −2.964 − 1.927 
CV Sandy clay loam Clay loam Silty clay loam Sandy clay Silty clay Clay 
0.00 −0.380 −2.299 −4.346 −3.293 −4.247 − 1.626 
0.05 −0.360 −2.363 −4.371 −3.394 −3.493 − 1.601 
0.15 −0.283 −2.287 −4.440 −3.067 −3.643 − 1.515 
0.25 −0.062 −2.559 −4.548 −2.869 −3.710 − 1.409 
0.35 0.194 −2.615 −4.538 −3.030 −3.355 − 1.377 
0.45 0.145 −2.758 −4.880 −3.018 −4.099 − 1.147 
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