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TTim, A Multi-Layer, Transient, Analytic Element Model

Introduction

TTim is a computer program for the modeling of transient multi-layer flow with analytic elements. TTim is based on the Laplace-transform analytic element method. The solution is computed analytically in the Laplace domain and converted back to the time domain numerically usig the algorithm of De Hoog, Stokes, and Knight. TTim may be applied to an arbitrary number of aquifers and leaky layers. The head, flow, and leakage between aquifers may be computed semi-analytically at any point in space and time. The design of TTim is object-oriented and has been kept simple and flexible. New analytic elements may be added to the code without making any changes in the existing part of the code. TTim is coded in Python and uses numba to speed up evaluation of the line elements and inverse laplace transforms.

Latest version

New in version 0.6.6:

• Many documentation improvements: new look, better organization, tutorials, how-to guides, etc. Check it out here!

Installation

Python versions and dependencies

TTim requires Python >= 3.8 and can be installed from PyPI.

Required packages:

• numpy
• scipy
• matplotlib
• numba
• lmfit

Installation:

To install TTim, open a command prompt or the anaconda prompt and type:

pip install ttim

To update TTim type:

pip install ttim --upgrade

To uninstall TTim type:

pip uninstall ttim

Documentation

• The documentation is hosted on readthedocs.
• Example Notebooks are available from the notebooks directory on github, of from here.

Citation

Some of the papers that you may want to cite when using TTim are:

• M. Bakker. 2013. Semi-analytic modeling of transient multi-layer flow with TTim. Hydrogeology Journal, 21: 935�943.
• M .Bakker. 2013. Analytic modeling of transient multi-layer flow. In: Advances in Hydrogeology, edited by P Mishra and K Kuhlman, Springer, Heidelberg, 95-114.