Deep Learning for Joint Geophysical Inversion of Seismic and MT datasets
AbhinavPratap Singh
1
*, Divakar Vashisth
1
, Shalivahan Srivastava
1
1
Department of Applied Geophysics, Indian Institute of Technology (Indian School of Mines) Dhanbad
Summary
Using more than one geophysical technique provides a
more reliable way to delineate the subsurface structure than
a single geophysical method. In this paper, we present a
novel way for the joint inversion of seismic and MT
datasets using artificial neural networks. Different rock
models are taken to compute the joint relation between the
porosity, shale content, velocity and resistivity of the strata.
The velocity and resistivity models thus generated were
used to compute seismic traces and apparent resistivity
curves, the dataset used for training and testing the neural
network. Such a method of performing joint inversion is
advantageous when we want to check the reliability of our
Machine Learning model in regions of low velocity or
when a particular physical property does not vary across
the layers while another does since, unlike other
optimisation schemes used for the geophysical inversion,
we do not need to rerun the model for every initial model.
The efficacy of artificial neural networks (ANN) to perform
the join inversion is tested, and in the process, a particular
type of ANN architecture is developed.
Introduction
Seismic and magnetotelluric (MT) methods are often used
to map the subsurface by estimating the geophysical
properties, namely velocity and resistivity variations. The
seismic method plays a vital role in the delineation of near-
surface geology for engineering purposes, hydrocarbon
exploration as well as the Earth's crustal structure
investigation (Li et al., 2019). MT method has found
application in the exploration of oil, groundwater, mineral
and geothermal systems (Simpson and Bahr, 2005).
However, due to limitations inherent in each of these
methods, separate inversions for resistivity and velocity
models may not be optimal to fully understand the geology.
Seismic interpretation techniques have found difficulty in
delineating low-velocity layers (LVL) in the past (Heijst et
al., 1994), while the MT method has faced issues with
equivalence problem or resolving electrically thin
conducting layer (Manglik and Verma, 1998). As there is
an inherent ambiguity in the estimation of subsurface
structure using a single geophysical method, using more
than one method can reduce this ambiguity to a significant
extent (Vozoff and Jupp, 2007;Manglik et al., 2011).
Hence, we attempt joint inversion of seismic and MT
datasets in the present study.
Geophysical inverse problems are inherently ill-posed,
multidimensional, multimodal and non-linear in nature
(Sen and Stoffa, 2013). The solution to such a problem can
be estimated using local optimisation (Conjugate gradient,
Levenberg-Marquardt algorithm) or global optimisation
(Particle Swarm Optimisation, Genetic Algorithm,
Simulated Annealing) techniques. These optimisation
schemes require computation of forward models in each
iteration and subsequently reduce the misfit function
between the computed and the observed data. In contrast, a
neural network model trained on an acceptable range of
geologically plausible models can be used to invert a
number of geophysical datasets much more efficiently. This
deep learning tool can approximate any linear or non-linear
function with arbitrary precision (Van der Baan and Jutten,
2000) and hence have found success in geophysical inverse
problems (Russell 2019) and other numerical domains in
geophysics (Zhang et al., 2018). In this paper, we intend to
use a deep learning approach for joint inversion of seismic
and MT datasets. We begin by giving insights about the
problem statement, followed by defining the architecture of
the neural network model to carry out the joint inversion
and then provide a general workflow at the end to perform
joint inversion of different geophysical datasets.
To carry out inversion using ANN, a number of steps have
to be followed. First, a training dataset is generated,
followed by NN training with a train set and testing on a
validation set to measure their performance before
employing them to the actual data.
Forward modelling
The resistivity and p-wave velocities may vary a lot for
different formations and their relationship with lithology is
generally complex. This has led to development of several
empirical relations in different studies. While for a range of
sedimentary rocks, we may agree on some of them, there is
a high degree of uncertainty in case of unconsolidated
sediments. As the top layer of our rock physics models is
the one of unconsolidated sediments, so, we did not
consider any particular relation to estimate the p-wave
velocity for that layer. Other strata were assumed to be
shale bearing water saturated sandstone. For these strata,
certain rock physics models were taken to develop a joint
relation between porosity, shale volume fraction, p-wave
velocity and resistivity and consequently, velocity and
resistivity models were generated. The seismic and MT
responses were generated for the same lithology/rock
physics model to create the training dataset for the neural
network.
10.1190/segam2021-3583955.1
Page 1741
© 2021 Society of Exploration Geophysicists
First International Meeting for Applied Geoscience & Energy
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DOI:10.1190/segam2021-3583955.1