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dc.contributor.advisorTjelmeland, Håkonnb_NO
dc.contributor.authorNorstein, Johannenb_NO
dc.date.accessioned2014-12-19T13:59:55Z
dc.date.available2014-12-19T13:59:55Z
dc.date.created2012-11-08nb_NO
dc.date.issued2012nb_NO
dc.identifier566474nb_NO
dc.identifierntnudaim:7427nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/259059
dc.description.abstractWe have a model for simulating facies values in a rock. We can use the model to find facies structures in a 2-dimensional area, which we can use to find properties of a rock in a petroleum reservoir. The model is a Markov mesh model, with a conditional probability distribution for the facies values, with a set of parameters. By using a training image with known facies values, we can simulate the parameters in the model, and then simulate facies values for a new area. In this text, we simulate the parameters by using a Reversible jump Markov chain Monte Carlo algorithm. This lets us simulate not only the values of the parameters, but also which parameters that should be present in the model. We use the Metropolis-Hastings algorithm in the simulations. We use the model with the simulated parameters to make new images with the Markov mesh model. The images should have similar visual appearance as the training image. We are able to make images with some similar qualities as the training image, even though we are not convinced that the parameter values converge.nb_NO
dc.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaim:7427no_NO
dc.subjectMTFYMA fysikk og matematikkno_NO
dc.subjectIndustriell matematikkno_NO
dc.titleParameter estimation in a Markov mesh model by reversible jump MCMC simulationnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber38nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


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