TY - JOUR
T1 - Joint stochastic constraint of a large data set from a salt dome
AU - Roberts, Alan W.
AU - Hobbs, Richard W.
AU - Goldstein, Michael
AU - Moorkamp, Max
AU - Jegen, Marion
AU - Heincke, Bjørn
N1 - Funding Information:
ACKNOWLEDGMENTS The authors would like to thank ITF and the sponsors of the JIBA Consortium, through which this work was funded, for their financial provision and advice. JIBA sponsors are as follows: Statoil, Chevron, ExxonMobil, Nexen, Wintershall, RWE, and Shell. We would also like to thank Statoil in particular for providing a data set on which to test the method. Most of the coding for this study was carried out using R, an open-source statistical coding environment, along with several additional modules (R Development Core Team, 2008; Carnell, 2009; Dutang, 2009). We are also grateful to two anonymous reviewers for their comments on a previous version of this paper, and their suggestion to use Laguerre polynomials as basis functions for fitting the data sets. Inspiration for the acceptance ratio maps of Figures 13-16 came from S. Pearse's Ph.D. thesis.
Publisher Copyright:
© 2016 Society of Exploration Geophysicists. All rights reserved.
PY - 2016/3
Y1 - 2016/3
N2 - Understanding the uncertainty associated with large joint geophysical surveys, such as 3D seismic, gravity, and magnetotelluric (MT) studies, is a challenge, conceptually and practically. By demonstrating the use of emulators, we have adopted a Monte Carlo forward screening scheme to globally test a prior model space for plausibility. This methodology means that the incorporation of all types of uncertainty is made conceptually straightforward, by designing an appropriate prior model space, upon which the results are dependent, from which to draw candidate models. We have tested the approach on a salt dome target, over which three data sets had been obtained; wide-angle seismic refraction, MT and gravity data. We have considered the data sets together using an empirically measured uncertain physical relationship connecting the three different model parameters: seismic velocity, density, and resistivity, and we have indicated the value of a joint approach, rather than considering individual parameter models. The results were probability density functions over the model parameters, together with a halite probability map. The emulators give a considerable speed advantage over running the full simulator codes, and we consider their use to have great potential in the development of geophysical statistical constraint methods.
AB - Understanding the uncertainty associated with large joint geophysical surveys, such as 3D seismic, gravity, and magnetotelluric (MT) studies, is a challenge, conceptually and practically. By demonstrating the use of emulators, we have adopted a Monte Carlo forward screening scheme to globally test a prior model space for plausibility. This methodology means that the incorporation of all types of uncertainty is made conceptually straightforward, by designing an appropriate prior model space, upon which the results are dependent, from which to draw candidate models. We have tested the approach on a salt dome target, over which three data sets had been obtained; wide-angle seismic refraction, MT and gravity data. We have considered the data sets together using an empirically measured uncertain physical relationship connecting the three different model parameters: seismic velocity, density, and resistivity, and we have indicated the value of a joint approach, rather than considering individual parameter models. The results were probability density functions over the model parameters, together with a halite probability map. The emulators give a considerable speed advantage over running the full simulator codes, and we consider their use to have great potential in the development of geophysical statistical constraint methods.
UR - http://www.scopus.com/inward/record.url?scp=84962802500&partnerID=8YFLogxK
U2 - 10.1190/GEO2015-0127.1
DO - 10.1190/GEO2015-0127.1
M3 - Article
AN - SCOPUS:84962802500
SN - 0016-8033
VL - 81
SP - ID1-ID24
JO - Geophysics
JF - Geophysics
IS - 2
ER -