One-Dimensional Gravity Sedimentation of Proppant

dc.contributor.advisorHirasaki, George J.en_US
dc.contributor.advisorFiroozabadi, Abbasen_US
dc.creatorLi, Yalien_US
dc.date.accessioned2021-12-06T19:54:30Zen_US
dc.date.available2021-12-06T19:54:30Zen_US
dc.date.created2021-12en_US
dc.date.issued2021-12-03en_US
dc.date.submittedDecember 2021en_US
dc.date.updated2021-12-06T19:54:30Zen_US
dc.description.abstractTo better understand the two-dimensional proppant transport problem in vertical fracture, we use the Method of Characteristics (MOC) to simulate one-dimensional sedimentation of suspensions by gravity. Literature survey and background about proppant transport are introduced first. The theory of sedimentation and MOC is then illustrated. The empirical Richardson & Zaki’s equation, modified with the discontinuous flux approximation, models the hindered sedimentation of uniform particles in a fluid. The characteristic velocity of concentration change is then calculated and the distance-time diagram is plotted for suspension sedimentation problems. Results are compared with existing experimental data to find the best-fit parameters of empirical exponent, n and maximum volume fraction, cm. The algorithm developed here provides a means for validating three-dimensional proppant transport simulators with literature results on 1-D gravity sedimentation of uniform, spherical particles in a Newtonian fluid under non-Brownian conditions.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationLi, Yali. "One-Dimensional Gravity Sedimentation of Proppant." (2021) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/111752">https://hdl.handle.net/1911/111752</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/111752en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectProppant transporten_US
dc.subject1-D suspension sedimentationen_US
dc.titleOne-Dimensional Gravity Sedimentation of Proppanten_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentChemical and Biomolecular Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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