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AnaFlow - analytical solutions for the groundwater-flow equation.

Project description

Welcome to AnaFlow

DOI PyPI version Build Status Documentation Status Code style: black



AnaFlow provides several analytical and semi-analytical solutions for the groundwater-flow equation.


You can install the latest version with the following command:

pip install anaflow

Documentation for AnaFlow

You can find the documentation under


In the following the well known Theis function is called an plotted for three different time-steps.

import numpy as np
from matplotlib import pyplot as plt
from anaflow import theis

time = [10, 100, 1000]
rad = np.geomspace(0.1, 10)

head = theis(time=time, rad=rad, transmissivity=1e-4, storage=1e-4, rate=-1e-4)

for i, step in enumerate(time):
    plt.plot(rad, head[i], label="Theis(t={})".format(step))



Provided Functions

The following functions are provided directly

  • thiem Thiem solution for steady state pumping
  • theis Theis solution for transient pumping
  • ext_thiem_2d extended Thiem solution in 2D from Zech 2013
  • ext_theis_2d extended Theis solution in 2D from Mueller 2015
  • ext_thiem_3d extended Thiem solution in 3D from Zech 2013
  • ext_theis_3d extended Theis solution in 3D from Mueller 2015
  • neuman2004 transient solution from Neuman 2004
  • neuman2004_steady steady solution from Neuman 2004
  • grf "General Radial Flow" Model from Barker 1988
  • ext_grf the transient extended GRF model
  • ext_grf_steady the steady extended GRF model
  • ext_thiem_tpl extended Thiem solution for truncated power laws
  • ext_theis_tpl extended Theis solution for truncated power laws
  • ext_thiem_tpl_3d extended Thiem solution in 3D for truncated power laws
  • ext_theis_tpl_3d extended Theis solution in 3D for truncated power laws

Laplace Transformation

We provide routines to calculate the laplace-transformation as well as the inverse laplace-transformation of a given function

  • get_lap Get the laplace transformation of a function
  • get_lap_inv Get the inverse laplace transformation of a function



You can contact us via


MIT © 2019 - 2020

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