Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/geofluids/volume-2018/7892789/figures/7892789.fig.0014a.svgz" name="7892789.fig.0014a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>This study</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/geofluids/volume-2018/7892789/figures/7892789.fig.0014b.svgz" name="7892789.fig.0014b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>van Genuchten model</td></tr><tr class="fig-image" id="c"><td><object data="https://static.hindawi.com/articles/geofluids/volume-2018/7892789/figures/7892789.fig.0014c.svgz" name="7892789.fig.0014c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>Iverson’s model for <svg height="11.9316pt" id="M212" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 69.094 11.9316" width="69.094pt" 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<div>Comparison of the computed <span class="nowrap"><svg height="9.01194pt" id="M211" style="vertical-align:-0.2455397pt" version="1.1" viewbox="-0.0498162 -8.7664 13.1875 9.01194" width="13.1875pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M493 503C489 551 484 614 483 650H43V622C120 616 128 611 128 525V126C128 40 120 34 40 28V0H312V28C221 34 213 40 213 126V307H316C407 307 412 296 424 227H453V420H424C412 355 407 346 316 346H213V584C213 613 216 616 246 616H322C398 616 419 607 436 579C449 559 455 539 464 499L493 503Z" id="g121-68"></path></g><g transform="matrix(.013,0,0,-0.013,6.877,0)"><path d="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z" id="g121-81"></path></g></svg>.</span></div>

Geofluids

fig14

Figure 14

Figure 14: Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method 