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User's guide of Proceessing Modflow 5.0

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Processing <strong>Modflow</strong> 279<br />

6.5.3 Seepage Surface through a Dam<br />

Folder: \pm5\examples\geotechniques\geo3\<br />

Overview <strong>of</strong> the Problem<br />

This example demonstrates how to calculate the seepage surface using a vertical cross-sectional<br />

model. As shown in Fig. 6.49, the length <strong>of</strong> the dam is 100 m, the thickness and height are 10m.<br />

The water table is 10 m at the upstream side <strong>of</strong> the dam and 2 m at the downstream side. The<br />

-5<br />

material <strong>of</strong> the dam is homogeneous and isotropic with a hydraulic conductivity <strong>of</strong> 1 × 10 m/s.<br />

The unrealistic bank is used here to simplify the data input.<br />

Your task is to calculate the seepage surface and the seepage rate by using a vertical cross-<br />

sectional numerical model. Compare the seepage rate with an analytical solution after Dupuit.<br />

Fig. 6.49 Seepage surface through a dam<br />

Modeling Approach and Simulation Results<br />

To compute the head distribution and the seepage surface, it is sufficient to consider a vertical<br />

cross-section <strong>of</strong> the aquifer with a uniform thickness <strong>of</strong> 1 m. The aquifer is simulated using a<br />

grid <strong>of</strong> one layer, 21 columns and 20 rows. A regular grid space <strong>of</strong> 0.5 m is used for each<br />

column. The layer type is 0:confined. The boundary at the upstream side <strong>of</strong> the dam is modeled<br />

as fixed-head boundary with the hydraulic head h = 10 m. On the right-hand side <strong>of</strong> the dam,<br />

there are four fixed-head cells with h = 2 m. The other cells on this boundary are modelled as<br />

2 -1<br />

drain cells with a high drain hydraulic conductance [L T ] value. The elevation <strong>of</strong> the drain is<br />

set the same as the bottom elevation <strong>of</strong> each cell, for example the 2.0 m for the cell [21, 16, 1]<br />

and 2.5 m for the cell [21, 15, 1]. The drain cells are activated only if water table is higher than<br />

the level <strong>of</strong> the drain. The selected model grid and the boundary conditions are shown in Fig.<br />

6.5.3 Seepage Surface through a Dam

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