{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/52232"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/52232","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Temperature and heat flow modeling of three-dimensional bodies in a two-layered half space","abstract":"A theoretical analysis was made of steady-state temperature and heat flow anomalies in the earth's crust caused by contrasts in heat production and thermal conductivity. Exact expressions were derived for the temperature and heat flow anomalies caused by polygonal prism heat sources in a half space overlain by a layer of contrasting conductivity. Expressions were also developed for the approximate thermal effects of polygonal prisms of contrasting conductivity. A comparison was made between the exact and approximate heat flow over an infinite semicircular cylinder of contrasting conductivity. The two heat flow fields agree to within 5% for conductivity radios (the ratio of the conductivity of the medium and the conductivity of the cylinder) which are between 0.25 and 1.5. Comparisons were also made between polygonal prism and finite difference models, three-dimensional and one-dimensional models, and half space and two-layered half space models. To illustrate the interpretation of heat flow anomalies a heat flow model was prepared for the Rolesville batholith and Castalia pluton, in Nash and Franklin Counties, North Carolina. It was shown that the observed variation in surface heat flow over these two granitic intrusions can be explained by variations in the thickness of the granite from 1 km to 30 km.","abstract_html":"A theoretical analysis was made of steady-state temperature and heat flow anomalies in the earth's crust caused by contrasts in heat production and thermal conductivity. Exact expressions were derived for the temperature and heat flow anomalies caused by polygonal prism heat sources in a half space overlain by a layer of contrasting conductivity. Expressions were also developed for the approximate thermal effects of polygonal prisms of contrasting conductivity. A comparison was made between the exact and approximate heat flow over an infinite semicircular cylinder of contrasting conductivity. The two heat flow fields agree to within 5% for conductivity radios (the ratio of the conductivity of the medium and the conductivity of the cylinder) which are between 0.25 and 1.5. Comparisons were also made between polygonal prism and finite difference models, three-dimensional and one-dimensional models, and half space and two-layered half space models. To illustrate the interpretation of heat flow anomalies a heat flow model was prepared for the Rolesville batholith and Castalia pluton, in Nash and Franklin Counties, North Carolina. It was shown that the observed variation in surface heat flow over these two granitic intrusions can be explained by variations in the thickness of the granite from 1 km to 30 km.","abstract_has_math":false,"creators":["Dunbar, John A."],"institution":"Virginia Polytechnic Institute and State University","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Geophysics","degree_department":"Geophysics","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1979,"date_issued":"1979","date_published":"1979","updated_at":"2026-07-22T22:20:25Z","subjects":[],"languages":["en_US"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/52232","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Geophysics"]},{"key":"dc:creator","label":"Author","values":["Dunbar, John A."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2015-05-08T19:40:33Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2015-05-08T19:40:33Z"]},{"key":"dc:date.issued","label":"Date","values":["1979"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Geophysics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/52232"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A theoretical analysis was made of steady-state temperature and heat flow anomalies in the earth's crust caused by contrasts in heat production and thermal conductivity. Exact expressions were derived for the temperature and heat flow anomalies caused by polygonal prism heat sources in a half space overlain by a layer of contrasting conductivity. Expressions were also developed for the approximate thermal effects of polygonal prisms of contrasting conductivity. A comparison was made between the exact and approximate heat flow over an infinite semicircular cylinder of contrasting conductivity. The two heat flow fields agree to within 5% for conductivity radios (the ratio of the conductivity of the medium and the conductivity of the cylinder) which are between 0.25 and 1.5. Comparisons were also made between polygonal prism and finite difference models, three-dimensional and one-dimensional models, and half space and two-layered half space models. To illustrate the interpretation of heat flow anomalies a heat flow model was prepared for the Rolesville batholith and Castalia pluton, in Nash and Franklin Counties, North Carolina. It was shown that the observed variation in surface heat flow over these two granitic intrusions can be explained by variations in the thickness of the granite from 1 km to 30 km."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Temperature and heat flow modeling of three-dimensional bodies in a two-layered half space"]}]}],"canonical_facts":{"dc:contributor.department":["Geophysics"],"dc:creator":["Dunbar, John A."],"dc:date.accessioned":["2015-05-08T19:40:33Z"],"dc:date.available":["2015-05-08T19:40:33Z"],"dc:date.issued":["1979"],"dc:description.abstract":["A theoretical analysis was made of steady-state temperature and heat flow anomalies in the earth's crust caused by contrasts in heat production and thermal conductivity. Exact expressions were derived for the temperature and heat flow anomalies caused by polygonal prism heat sources in a half space overlain by a layer of contrasting conductivity. Expressions were also developed for the approximate thermal effects of polygonal prisms of contrasting conductivity. A comparison was made between the exact and approximate heat flow over an infinite semicircular cylinder of contrasting conductivity. The two heat flow fields agree to within 5% for conductivity radios (the ratio of the conductivity of the medium and the conductivity of the cylinder) which are between 0.25 and 1.5. Comparisons were also made between polygonal prism and finite difference models, three-dimensional and one-dimensional models, and half space and two-layered half space models. To illustrate the interpretation of heat flow anomalies a heat flow model was prepared for the Rolesville batholith and Castalia pluton, in Nash and Franklin Counties, North Carolina. It was shown that the observed variation in surface heat flow over these two granitic intrusions can be explained by variations in the thickness of the granite from 1 km to 30 km."],"dc:description.degree":["Master of Science"],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/52232"],"dc:language.iso":["en_US"],"dc:publisher":["Virginia Polytechnic Institute and State University"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Temperature and heat flow modeling of three-dimensional bodies in a two-layered half space"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Geophysics"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:20:25Z"}