{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/68512"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/68512","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Infiltration of a Two-State Compressible Fluid Through a Linearly Deformed, Porous, Elastic, Fissured Rock","abstract":"A theory is formulated for a double porosity medium with two-component vector porosity field. In particular, the performance of a fissured rock medium subjected to a variable load in the space and time domain is considered. The deformation-flow interaction phenomenon is described by five, linear, partial differential equations which contain nine unknown coefficients. The evaluation of coefficients is achieved through the design of an experimental measurement to yield their numerical values. Next, the mixed initial-boundary value problem is formulated by combining the five field equations with sufficient initial and boundary conditions. The finite element weighted residual method employing the Galerkin approach is selected for the solution of the time-dependent problem. A finite element computer program is developed to calculate solid displacements and stresses, fluid pressures and flows. The numerical examples include a one-dimensional column, a two-dimensional layer, and a two-dimensional halfspace of fissured rock. The selected examples indicate that the double porosity model predicts larger displacements and smaller pressure values than those corresponding to a single porosity model for a particular behavior of the pores. Suggestions for future prospects of research are given; inclusion of mechanical and hydraulic anisotropy, viscous flow, and plastic deformations are suggested.","abstract_html":"A theory is formulated for a double porosity medium with two-component vector porosity field. In particular, the performance of a fissured rock medium subjected to a variable load in the space and time domain is considered. The deformation-flow interaction phenomenon is described by five, linear, partial differential equations which contain nine unknown coefficients. The evaluation of coefficients is achieved through the design of an experimental measurement to yield their numerical values. Next, the mixed initial-boundary value problem is formulated by combining the five field equations with sufficient initial and boundary conditions. The finite element weighted residual method employing the Galerkin approach is selected for the solution of the time-dependent problem. A finite element computer program is developed to calculate solid displacements and stresses, fluid pressures and flows. The numerical examples include a one-dimensional column, a two-dimensional layer, and a two-dimensional halfspace of fissured rock. The selected examples indicate that the double porosity model predicts larger displacements and smaller pressure values than those corresponding to a single porosity model for a particular behavior of the pores. Suggestions for future prospects of research are given; inclusion of mechanical and hydraulic anisotropy, viscous flow, and plastic deformations are suggested.","abstract_has_math":false,"creators":["Khaled, Mamdouh Youssef"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Theoretical and Applied Mechanics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-14T14:42:20Z","date_published":"2014-12-14T14:42:20Z","updated_at":"2026-07-22T22:25:59Z","subjects":["Applied Mechanics","Geological Survey"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8108561"],"render_values":[{"text":"(UMI)AAI8108561","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/68512","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Khaled, Mamdouh Youssef"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-14T14:42:20Z","10000-01-01","1980"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical and Applied Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Applied Mechanics","Geological Survey"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/68512","(UMI)AAI8108561"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A theory is formulated for a double porosity medium with two-component vector porosity field. In particular, the performance of a fissured rock medium subjected to a variable load in the space and time domain is considered. The deformation-flow interaction phenomenon is described by five, linear, partial differential equations which contain nine unknown coefficients. The evaluation of coefficients is achieved through the design of an experimental measurement to yield their numerical values. Next, the mixed initial-boundary value problem is formulated by combining the five field equations with sufficient initial and boundary conditions. The finite element weighted residual method employing the Galerkin approach is selected for the solution of the time-dependent problem. A finite element computer program is developed to calculate solid displacements and stresses, fluid pressures and flows. The numerical examples include a one-dimensional column, a two-dimensional layer, and a two-dimensional halfspace of fissured rock. The selected examples indicate that the double porosity model predicts larger displacements and smaller pressure values than those corresponding to a single porosity model for a particular behavior of the pores. Suggestions for future prospects of research are given; inclusion of mechanical and hydraulic anisotropy, viscous flow, and plastic deformations are suggested.","Made available in DSpace on 2014-12-14T14:42:20Z (GMT). No. of bitstreams: 1 8108561.pdf: 3334804 bytes, checksum: 10c12046aa76607b25cc38848e4f6455 (MD5) Previous issue date: 1980","Embargo set by: Seth Robbins for item 68690 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","140 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980."]},{"key":"dc:title","label":"Title","values":["Infiltration of a Two-State Compressible Fluid Through a Linearly Deformed, Porous, Elastic, Fissured Rock"]}]}],"canonical_facts":{"dc:creator":["Khaled, Mamdouh Youssef"],"dc:date":["2014-12-14T14:42:20Z","10000-01-01","1980"],"dc:description":["A theory is formulated for a double porosity medium with two-component vector porosity field. In particular, the performance of a fissured rock medium subjected to a variable load in the space and time domain is considered. The deformation-flow interaction phenomenon is described by five, linear, partial differential equations which contain nine unknown coefficients. The evaluation of coefficients is achieved through the design of an experimental measurement to yield their numerical values. Next, the mixed initial-boundary value problem is formulated by combining the five field equations with sufficient initial and boundary conditions. The finite element weighted residual method employing the Galerkin approach is selected for the solution of the time-dependent problem. A finite element computer program is developed to calculate solid displacements and stresses, fluid pressures and flows. The numerical examples include a one-dimensional column, a two-dimensional layer, and a two-dimensional halfspace of fissured rock. The selected examples indicate that the double porosity model predicts larger displacements and smaller pressure values than those corresponding to a single porosity model for a particular behavior of the pores. Suggestions for future prospects of research are given; inclusion of mechanical and hydraulic anisotropy, viscous flow, and plastic deformations are suggested.","Made available in DSpace on 2014-12-14T14:42:20Z (GMT). No. of bitstreams: 1 8108561.pdf: 3334804 bytes, checksum: 10c12046aa76607b25cc38848e4f6455 (MD5) Previous issue date: 1980","Embargo set by: Seth Robbins for item 68690 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","140 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980."],"dc:identifier":["http://hdl.handle.net/2142/68512","(UMI)AAI8108561"],"dc:language":["eng"],"dc:subject":["Applied Mechanics","Geological Survey"],"dc:title":["Infiltration of a Two-State Compressible Fluid Through a Linearly Deformed, Porous, Elastic, Fissured Rock"],"dc:type":["text"],"thesis:degree_discipline":["Theoretical and Applied Mechanics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:59Z"}