Abstract
The inclusion model for pore pressure and near surface localized heating may be of practical importance to many geological applications including geothermal reservoirs and volcanoes. In literature, the axisymmetric inclusion problems considering vertically placed spheroidal inclusions have been examined, while the complementary problems concerning horizontal spheroidal inclusion have not drawn much attention. The latter lacks axial symmetry, and usually cannot be handled by the analytical methods developed for the symmetric case. The current work analytically explores this asymmetric problem of thermo-porous spheroidal inclusion with the assistance of geometric interpretation. The complete solution to the displacement, strain and stress is formulated in Cartesian coordinates for ease of engineering applications. The formulae are derived in compact closed-form expressions in terms of elementary functions, which are handy for analytical manipulations and computer programming. Furthermore, applications in geostructures are discussed, and benchmark examples are provided to validate the present solution.
| Language | English (US) |
|---|---|
| Pages | 15-24 |
| Number of pages | 10 |
| Journal | Computers and Geosciences |
| Volume | 122 |
| DOIs | |
| State | Published - Jan 1 2019 |
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Keywords
- Geophysics
- Geothermal reservoirs
- Semi-infinite space
- Spheroidal inclusion
- Thermo-porous eigenstrains
ASJC Scopus subject areas
- Information Systems
- Computers in Earth Sciences
Cite this
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A closed-form solution for the horizontally aligned thermal-porous spheroidal inclusion in a half-space and its applications in geothermal reservoirs. / Zhang, Xiangning; Lyu, Ding; Li, Pu; Jin, Xiaoqing; Liaw, Peter K.; Keer, Leon M.
In: Computers and Geosciences, Vol. 122, 01.01.2019, p. 15-24.Research output: Contribution to journal › Article
TY - JOUR
T1 - A closed-form solution for the horizontally aligned thermal-porous spheroidal inclusion in a half-space and its applications in geothermal reservoirs
AU - Zhang, Xiangning
AU - Lyu, Ding
AU - Li, Pu
AU - Jin, Xiaoqing
AU - Liaw, Peter K.
AU - Keer, Leon M
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The inclusion model for pore pressure and near surface localized heating may be of practical importance to many geological applications including geothermal reservoirs and volcanoes. In literature, the axisymmetric inclusion problems considering vertically placed spheroidal inclusions have been examined, while the complementary problems concerning horizontal spheroidal inclusion have not drawn much attention. The latter lacks axial symmetry, and usually cannot be handled by the analytical methods developed for the symmetric case. The current work analytically explores this asymmetric problem of thermo-porous spheroidal inclusion with the assistance of geometric interpretation. The complete solution to the displacement, strain and stress is formulated in Cartesian coordinates for ease of engineering applications. The formulae are derived in compact closed-form expressions in terms of elementary functions, which are handy for analytical manipulations and computer programming. Furthermore, applications in geostructures are discussed, and benchmark examples are provided to validate the present solution.
AB - The inclusion model for pore pressure and near surface localized heating may be of practical importance to many geological applications including geothermal reservoirs and volcanoes. In literature, the axisymmetric inclusion problems considering vertically placed spheroidal inclusions have been examined, while the complementary problems concerning horizontal spheroidal inclusion have not drawn much attention. The latter lacks axial symmetry, and usually cannot be handled by the analytical methods developed for the symmetric case. The current work analytically explores this asymmetric problem of thermo-porous spheroidal inclusion with the assistance of geometric interpretation. The complete solution to the displacement, strain and stress is formulated in Cartesian coordinates for ease of engineering applications. The formulae are derived in compact closed-form expressions in terms of elementary functions, which are handy for analytical manipulations and computer programming. Furthermore, applications in geostructures are discussed, and benchmark examples are provided to validate the present solution.
KW - Geophysics
KW - Geothermal reservoirs
KW - Semi-infinite space
KW - Spheroidal inclusion
KW - Thermo-porous eigenstrains
UR - http://www.scopus.com/inward/record.url?scp=85054867591&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85054867591&partnerID=8YFLogxK
U2 - 10.1016/j.cageo.2018.10.001
DO - 10.1016/j.cageo.2018.10.001
M3 - Article
VL - 122
SP - 15
EP - 24
JO - Computers and Geosciences
T2 - Computers and Geosciences
JF - Computers and Geosciences
SN - 0098-3004
ER -