HantushWellModel#
- class HantushWellModel(use_numba=False, quad=False)[source]#
An implementation of the Hantush well function for multiple pumping wells.
- Parameters
up (bool, optional) – indicates whether a positive stress will cause the head to go up (True, default) or down (False)
meanstress (float) – mean value of the stress, used to set the initial value such that the final step times the mean stress equals 1
cutoff (float) – proportion after which the step function is cut off. Default is 0.999.
Notes
The impulse response function is:
\[\theta(r, t) = \frac{A}{2t} \exp(-t/a - abr^2/t)\]where r is the distance from the pumping well to the observation point and must be specified. A, a, and b are parameters, which are slightly different from the Hantush response function. The gain is defined as:
\(\text{gain} = A K_0 \left( 2r \sqrt(b) \right)\)
The implementation used here is explained in Veling and Maas (2010).
Methods#
Method to return the block function. |
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Get initial parameters and bounds. |
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Internal method to determine the times at which to evaluate the step-response, from t=0. |
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Method to get the response time for a certain cutoff. |
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Method to return the impulse response function. |
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Method to return the step function. |
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Calculate variance of the gain from parameters A and b. |