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Open source software for petrophysically and geologically guided geophysical inversion (PGI)

Binder DOI License SimPEG

Notebooks and python scripts to reproduce the figures shown in Astic & Oldenburg (2019). Implemented as part of the SimPEG package.

Summary

We propose a new framework for incorporating petrophysical and geological information into voxel-based geophysical inversion. By quantitatively linking these data into a single framework, we recover a final inverted model that reproduces the observed, or desired, petrophysical and geological features while fitting the geophysical data. In the hope of facilitating this exploration and promoting reproducibility of geophysical simulations and inversions, we make the scripts of those examples publicly available thanks to the open source software package, SimPEG. This allows researchers to interrogate all of the components and to facilitate the exploration of our new inversion strategies. We highlight different capabilities of our methodology by inverting magnetotelluric and DC resistivity data in 1D and 2D respectively. Finally we apply our framework to inverting airborne over frequency domain data, acquired in Australia, for the detection and characterization of saline contamination of freshwater.

Contents

There are 3 notebooks in this repository:

  • 1_MT_PGI_Sharp_Smooth.ipynb

    • Magnetotelluric data are acquired over a layered-earth that has sharp and smooth features. The PGI algorithm is provided with the true petrophysical distribution and the goal is to use it along with the MT data to find a solution that has the desired contrast features.
  • 2_DC_PGI_2cylinders.ipynb

    • A DC resistivity profile is acquired over two cylinders. We illustrate the performance of this framework when no physical property mean values are available, and compared it to the result with full petrophysical information. We highlight then how geological information from borehole logs can be incorporated into this framework.
  • 3_FDEM_PGI_Bookpurnong.ipynb

    • This example illustrates an application of the PGI approach on a field frequency-domain EM dataset, in conjunction with a structurally constraining regularization, without using extensive geological or petrophysical information. We demonstrate how to use this framework to test hypothesis, such as a recovering a specific number of distinct units, and to build confidence, or doubts, in geological features displayed by the inversions.

Usage

We encourage the use of the services provided by MyBinder to run these examples on the cloud: Binder

If you wish to run these examples locally, please follow these instructions:

To run the notebooks locally, you will need to have python installed, preferably through anaconda .

You can then clone this repository. From a command line, run

git clone https://github.com/simpeg-research/Astic-2019-PGI.git

Then cd into the Astic-2019-PGI directory:

cd Astic-2019-PGI

To setup your software environment, we recommend you use the provided conda environment

conda env create -f environment.yml
conda activate pgi-environment

alternatively, you can install dependencies through pypi

pip install -r requirements.txt

You can then launch Jupyter

jupyter notebook

Jupyter will then launch in your web-browser.

Running the notebooks

Each cell of code can be run with shift + enter or you can run the entire notebook by selecting cell, Run All in the toolbar.

For more information on running Jupyter notebooks, see the Jupyter Documentation

Issues

Please make an issue if you encounter any problems while trying to run the notebooks.

Citations

If you build upon or use these examples in your work, please cite:

Astic T., Oldenburg D.W. (2019). A framework for petrophysically and geologically guided geophysical inversion using a dynamic Gaussian mixture model prior, Geophysical Journal International, https://doi.org/10.1093/gji/ggz389

@article{10.1093/gji/ggz389,
    author = {Astic, Thibaut and Oldenburg, Douglas W},
    title = "{A framework for petrophysically and geologically guided geophysical inversion using a dynamic Gaussian mixture model prior}",
    journal = {Geophysical Journal International},
    year = {2019},
    month = {08},
    issn = {0956-540X},
    doi = {10.1093/gji/ggz389},
    url = {https://doi.org/10.1093/gji/ggz389},
    eprint = {http://oup.prod.sis.lan/gji/advance-article-pdf/doi/10.1093/gji/ggz389/29350104/ggz389.pdf},
}

Astic, T. & Oldenburg, D. W. (2018). Petrophysically guided geophysical inversion using a dynamic Gaussian mixture model prior. In SEG Technical Program Expanded Abstracts 2018 (pp. 2312-2316). https://doi.org/10.1190/segam2018-2995155.1

@inbook{Astic2018,
author = {Thibaut Astic and Douglas W. Oldenburg},
title = {Petrophysically guided geophysical inversion using a dynamic Gaussian mixture model prior},
booktitle = {SEG Technical Program Expanded Abstracts 2018},
chapter = {},
pages = {2312-2316},
year = {2018},
doi = {10.1190/segam2018-2995155.1},
URL = {https://library.seg.org/doi/abs/10.1190/segam2018-2995155.1},
eprint = {https://library.seg.org/doi/pdf/10.1190/segam2018-2995155.1}
}

These examples were built following the structures developed by Heagy et al.(2018)

Heagy, L. J., Kang, S., Cockett, R., & Oldenburg, D. W. (2018). Open source software for simulations and inversions of airborne electromagnetic data. In 7th International Workshop on Airborne Electromagnetics (pp. 1–5). https://doi.org/10.1016/j.cageo.2017.06.018

@inproceedings{Heagy2018,
author = {Heagy, Lindsey J and Kang, Seogi and Cockett, Rowan and Oldenburg, Douglas W.},
booktitle = {7th International Workshop on Airborne Electromagnetics},
keywords = {finite volume,frequency domain,inversion,open source software,time domain},
pages = {1--5},
title = {{Open source software for simulations and inversions of airborne electromagnetic data}},
year = {2018}
}

If you are using SimPEG, please cite:

Cockett, Rowan, Seogi Kang, Lindsey J. Heagy, Adam Pidlisecky, and Douglas W. Oldenburg. "SimPEG: An Open Source Framework for Simulation and Gradient Based Parameter Estimation in Geophysical Applications" Computers & Geosciences, September 2015. https://doi.org/10.1016/j.cageo.2015.09.015.

@article{Cockett2015,
author = {Cockett, Rowan and Kang, Seogi and Heagy, Lindsey J. and Pidlisecky, Adam and Oldenburg, Douglas W.},
doi = {10.1016/j.cageo.2015.09.015},
issn = {00983004},
journal = {Computers and Geosciences},
keywords = {Electromagnetics,Geophysics,Inversion,Numerical modeling,Object-oriented programming,Sensitivities},
pages = {142--154},
publisher = {Elsevier},
title = {{SimPEG: An open source framework for simulation and gradient based parameter estimation in geophysical applications}},
url = {http://dx.doi.org/10.1016/j.cageo.2015.09.015},
volume = {85},
year = {2015}
}

If you are using the Electromagnetics Simulations & Inversions capabilities of SimPEG, please cite:

Lindsey J. Heagy, Rowan Cockett, Seogi Kang, Gudni K. Rosenkjaer, Douglas W. Oldenburg. "A framework for simulation and inversion in electromagnetics" Computers & Geosciences, September 2017. https://doi.org/10.1016/j.cageo.2017.06.018

@article{heagy2017framework,
title = {A framework for simulation and inversion in electromagnetics},
journal = {Computers \& Geosciences},
volume = {107},
pages = {1-19},
year = {2017},
issn = {0098-3004},
doi = {https://doi.org/10.1016/j.cageo.2017.06.018},
url = {http://www.sciencedirect.com/science/article/pii/S0098300416303946},
author = {Lindsey J. Heagy and Rowan Cockett and Seogi Kang and Gudni K. Rosenkjaer and Douglas W. Oldenburg},
keywords = {Geophysics, Numerical modelling, Finite volume, Sensitivities, Object oriented}
}

License

These notebooks are licensed under the MIT License which allows academic and commercial re-use and adaptation of this work.