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→To calculate the required depth, where the area of the facility is constrained (3D drainage)
Line 81:
Line 81:
:<math>d=a[e^{\left ( -bD \right )} -1]</math>
:<math>d=a[e^{\left ( -bD \right )} -1]</math>
Where
Where
<math>a=\frac{Ap}{x}-\frac{i Ai}{x f'}</math>
<math>a=\frac{Ar}{x}-\frac{i Ai}{x f'}</math>
and
and
<math>b=\frac{xf'}{nAp}</math>
<math>b=\frac{xf'}{nAr}</math>
(The rearrangement to calculate the required footprint area of the facility for a given depth using three dimensional drainage is not available at this time. Elegant submissions are invited.)<br>
(The rearrangement to calculate the required footprint area of the facility for a given depth using three dimensional drainage is not available at this time. Elegant submissions are invited.)<br>
Line 97:
Line 97:
<br>
<br>
To calculate the time (''t'') to fully drain the facility assuming three-dimensional drainage:
To calculate the time (''t'') to fully drain the facility assuming three-dimensional drainage:
<math>t=\frac{nAp}{f'x}ln\left [ \frac{\left (d+ \frac{Ap}{x} \right )}{\left(\frac{Ap}{x}\right)}\right]</math>
<math>t=\frac{nAr}{f'x}ln\left [ \frac{\left (d+ \frac{Ar}{x} \right )}{\left(\frac{Ar}{x}\right)}\right]</math>
Where "ln" means natural logarithm of the term in square brackets
Where "ln" means natural logarithm of the term in square brackets
[[category: modeling]]
[[category: modeling]]
[[category: infiltration]]
[[category: infiltration]]