Exact, linear and nonlinear AVO modeling in poroelastic media

atmire.migration.oldid2068
dc.contributor.advisorInnanen, Kris
dc.contributor.authorKim, Steven
dc.date.accessioned2014-04-28T22:53:56Z
dc.date.available2014-06-16T07:00:35Z
dc.date.issued2014-04-28
dc.date.submitted2014en
dc.description.abstractAn exact, analytical solution for PP reflection amplitudes is derived for poroelastic media as a result of incorporating the poroelastic parameters of fluid (f), shear modulus (μ), and density (ρ) into the elastic Zoeppritz equations. This solution contains many terms which may be neglected to produce first (linear), second (nonlinear) and third (nonlinear) order approximations. These approximations are derived in terms of perturbations (a_f, a_μ, a_ρ) and reflectivities (Δf/f, Δμ/μ, Δρ/ρ). These results are expected to extend to dynamic poroelastic models of wave propagation and initial groundwork for this extension is reported. When modeling reflection amplitudes of media with small poroelastic contrasts (10%), the first order approximation yields 5% error for the zero offset reflection amplitude and much less than 1% error for the third order approximation. By changing the media properties to replicate large poroelastic contrasts (50%), the first order approximation produces 20% error for the zero offset reflection amplitude and less than 1% error for the third order approximation. Nonlinear corrective terms of order 2 and 3 are, therefore, relevant for poroelastic AVO analysis in geophysically realistic scenarios.en_US
dc.identifier.citationKim, S. (2014). Exact, linear and nonlinear AVO modeling in poroelastic media (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/26009en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/26009
dc.identifier.urihttp://hdl.handle.net/11023/1446
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectGeophysics
dc.subject.classificationAVOen_US
dc.titleExact, linear and nonlinear AVO modeling in poroelastic media
dc.typemaster thesis
thesis.degree.disciplineGeoscience
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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