Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion
Gas-solid combustion appears in many applications such as in situ combustion, which is a potential technique for oil recovery. Previous work has analyzed traveling wave solutions and obtained analytical formulas describing combustion wave temperature, velocity, and gas velocity for one-dimensional g...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2017/1806052 |
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| _version_ | 1832549335785537536 |
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| author | Weslley da Silva Pereira Grigori Chapiro |
| author_facet | Weslley da Silva Pereira Grigori Chapiro |
| author_sort | Weslley da Silva Pereira |
| collection | DOAJ |
| description | Gas-solid combustion appears in many applications such as in situ combustion, which is a potential technique for oil recovery. Previous work has analyzed traveling wave solutions and obtained analytical formulas describing combustion wave temperature, velocity, and gas velocity for one-dimensional gas-solid combustion model using geometrical singular perturbation theory. In the present work these formulas are generalized. Using numerical simulation we show that they can be adapted and then applied to describe more general two-dimensional models for in situ combustion in a nonhomogeneous porous medium. |
| format | Article |
| id | doaj-art-d9bcca27ba1a41fbbf545a6e9b3f3b07 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-d9bcca27ba1a41fbbf545a6e9b3f3b072025-02-03T06:11:34ZengWileyGeofluids1468-81151468-81232017-01-01201710.1155/2017/18060521806052Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid CombustionWeslley da Silva Pereira0Grigori Chapiro1National Laboratory for Scientific Computing (LNCC), Av. Getúlio Vargas, 333, 25651-070 Petrópolis, RJ, BrazilDepartment of Mathematics, Federal University of Juiz de Fora (UFJF), Rua José Lourenço Kelmer, s/n, Campus Universitário, 36036-900 Juiz de Fora, MG, BrazilGas-solid combustion appears in many applications such as in situ combustion, which is a potential technique for oil recovery. Previous work has analyzed traveling wave solutions and obtained analytical formulas describing combustion wave temperature, velocity, and gas velocity for one-dimensional gas-solid combustion model using geometrical singular perturbation theory. In the present work these formulas are generalized. Using numerical simulation we show that they can be adapted and then applied to describe more general two-dimensional models for in situ combustion in a nonhomogeneous porous medium.http://dx.doi.org/10.1155/2017/1806052 |
| spellingShingle | Weslley da Silva Pereira Grigori Chapiro Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion Geofluids |
| title | Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion |
| title_full | Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion |
| title_fullStr | Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion |
| title_full_unstemmed | Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion |
| title_short | Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion |
| title_sort | numerical validation of analytical estimates for propagation of thermal waves generated by gas solid combustion |
| url | http://dx.doi.org/10.1155/2017/1806052 |
| work_keys_str_mv | AT weslleydasilvapereira numericalvalidationofanalyticalestimatesforpropagationofthermalwavesgeneratedbygassolidcombustion AT grigorichapiro numericalvalidationofanalyticalestimatesforpropagationofthermalwavesgeneratedbygassolidcombustion |