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updated readme ts figure
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cneyens committed Jan 23, 2025
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AdePy contains analytical solutions for the advection-dispersion equation (ADE) describing solute transport in groundwater, written in Python.

Currently, all solutions shown in [Wexler (1992)](https://doi.org/10.3133/twri03B7) are provided as separate Python functions. These simulate 1D, 2D or 3D solute transport in uniform background flow for a variety of boundary conditions and source geometries. The solute may be subjected to linear sorption and first-order decay.
Currently, all solutions shown in [Wexler (1992)](https://doi.org/10.3133/twri03B7) are provided as separate Python functions. These simulate 1D, 2D or 3D solute transport in uniform background flow for a variety of boundary conditions and source geometries. The solute may be subjected to linear equilibrium sorption and first-order decay.

Since all equations are linear, superposition in time and space can be applied to create complex source geometries with time-varying source concentrations. Gauss-Legendre quadrature is used to solve the integrals which require numerical integration. Sequential or parallel first-order parent-daughter chain reactions are supported using the method described by [Sun & Clement (1999)](https://doi.org/10.1023/A:1006507514019).

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```python
# Calculate and plot the concentration time series for 5 years at a location downstream ----
obs = (10, 0, 0) # x-y-z coordinates of observation point, m
obs = (40, 0, 0) # x-y-z coordinates of observation point, m
t = np.linspace(1, 5 * 365, 100) # output times, d
cobs = point3(c0, obs[0], obs[1], obs[2], t, v, n, al, ah, av, Q, xc, yc, zc)

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## References
[Wexler, E.J., 1992. *Analytical solutions for one-, two-, and three-dimensional solute transport in ground-water systems with uniform flow*, USGS Techniques of Water-Resources Investigations 03-B7, 190 pp., https://doi.org/10.3133/twri03B7](https://doi.org/10.3133/twri03B7)

[Sun, Y., Clement, T.P., 1999. *A Decomposition Method for Solving Coupled Multi–Species Reactive Transport Problems*, Transport in Porous Media 37, pp. 327–346, https://doi.org/10.1023/A:1006507514019](https://doi.org/10.1023/A:1006507514019)
[Sun, Y., Clement, T.P., 1999. *A Decomposition Method for Solving Coupled Multi–Species Reactive Transport Problems*, Transport in Porous Media 37, p. 327–346, https://doi.org/10.1023/A:1006507514019](https://doi.org/10.1023/A:1006507514019)
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