Show simple item record

dc.contributor.advisorCollis, Jon M.
dc.contributor.advisorLi, Yaoguo
dc.contributor.authorHowell, Lauren E.
dc.date.accessioned2007-01-03T04:56:34Z
dc.date.accessioned2022-02-09T08:41:57Z
dc.date.available2014-06-01T04:18:44Z
dc.date.available2022-02-09T08:41:57Z
dc.date.issued2013
dc.identifierT 7292
dc.identifier.urihttps://hdl.handle.net/11124/79001
dc.description2013 Spring.
dc.descriptionIncludes illustrations (some color).
dc.descriptionIncludes bibliographical references (pages 50-51).
dc.description.abstractForward modeling of gravity data typically computes the vertical gravitational acceleration using either closed-form formulae, or numerical solution of Poisson's equation governing the gravity potential followed by numerical differentiation. We present a method for computing the vertical gravity anomaly directly from Poisson's equation governing the gravitational acceleration, formally relating the gravity anomaly to spatial derivatives of the density function. We first use a finite-difference approximation to obtain the numerical solution, which we later compare to a finite-volume solution approximation. The accuracy of this method is demonstrated through applications to synthetic models and comparisons with integral solutions. This method can also be easily adapted to compute the horizontal components of gravity anomaly with the same order of accuracy, thereby paving the way for studying the prospect of instrument development that may allow acquisition of the horizontal gravity components in the future.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.relation.ispartof2010-2019 - Mines Theses & Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectgravity
dc.subjectforward modeling
dc.subjectthree dimensional
dc.subject.lcshPoisson's equation
dc.subject.lcshGravity anomalies
dc.subject.lcshGravitational fields
dc.titleForward modeling the gravitational field using a direct solution of Poisson's equation
dc.typeText
dc.contributor.committeememberGanesh, Mahadevan
dc.contributor.committeememberMartin, P. A.
dcterms.embargo.terms2014-06-01
dcterms.embargo.expires2014-06-01
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines
dc.rights.access1-year embargo


Files in this item

Thumbnail
Name:
Howell_mines_0052N_10241.pdf
Size:
532.3Kb
Format:
PDF
Description:
Forward modeling the gravitational ...

This item appears in the following Collection(s)

Show simple item record