One-Dimensional Gravity Sedimentation of Proppant

dc.contributor.advisorHirasaki, George J.
dc.contributor.advisorFiroozabadi, Abbas
dc.creatorLi, Yali
dc.date.accessioned2021-12-06T19:54:30Z
dc.date.available2021-12-06T19:54:30Z
dc.date.created2021-12
dc.date.issued2021-12-03
dc.date.submittedDecember 2021
dc.date.updated2021-12-06T19:54:30Z
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.
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.urihttps://hdl.handle.net/1911/111752
dc.language.isoeng
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.
dc.subjectProppant transport
dc.subject1-D suspension sedimentation
dc.titleOne-Dimensional Gravity Sedimentation of Proppant
dc.typeThesis
dc.type.materialText
thesis.degree.departmentChemical and Biomolecular Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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