Reservoir Modeling Combining Geostatistics with Markov Chain Monte Carlo Inversion

Andrea Zunino, Katrine Lange, Yulia Melnikova, Thomas Mejer Hansen, Klaus Mosegaard

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

We present a study on the inversion of seismic reflection data generated from a synthetic reservoir model. Our aim is to invert directly for rock facies and porosity of the target reservoir zone. We solve this inverse problem using a Markov chain Monte Carlo (McMC) method to handle the nonlinear, multi-step forward model (rock physics and seismology) and to provide realistic estimates of uncertainties. To generate realistic models which represent samples of the prior distribution, and to overcome the high computational demand, we reduce the search space utilizing an algorithm drawn from geostatistics. The geostatistical algorithm learns the multiple-point statistics from prototype models, then generates proposal models which are tested by a Metropolis sampler. The solution of the inverse problem is finally represented by a collection of reservoir models in terms of facies and porosity, which constitute samples of the posterior distribution.
Original languageEnglish
Title of host publicationMathematics of Planet Earth Lecture : Proceedings of the 15th Annual Conference of the International Association for Mathematical Geosciences
PublisherSpringer
Publication date2014
Pages683-687
ISBN (Electronic)978-3-642-32408-6
Publication statusPublished - 2014
Event15th Annual Conference of the International Association for Mathematical Geosciences: Frontiers of Mathematical Geosciences: New approaches to understand the natural World - Faculty of Mathematics of the Complutense University of Madrid, Madrid, Spain
Duration: 2 Sep 20136 Sep 2013
Conference number: 15
http://www.igme.es/internet/iamg2013/

Conference

Conference15th Annual Conference of the International Association for Mathematical Geosciences
Number15
LocationFaculty of Mathematics of the Complutense University of Madrid
CountrySpain
CityMadrid
Period02/09/201306/09/2013
Internet address
SeriesLecture Notes in Earth Sciences
ISSN0930-0317

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