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DOI | 10.1029/2018WR024150 |
Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function | |
Zhou, Quanlin; Oldenburg, Curtis M.; Rutqvist, Jonny | |
2019-02-01 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2019 |
卷号 | 55期号:2页码:1405-1428 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | Numerous analytical solutions have been developed for modeling thermal perturbations to underground formations caused by deep-well injection of fluids. Each solution has been derived for a specific boundary value problem and a simplified flow network with one set of parallel fractures. In this paper, new generalized solutions <> and a new memory function are the space and Laplace variable. The memory function represents the solutions of conductive heat exchange between fractures and matrix blocks and between fractured aquifers and unfractured aquitards. The memory function is developed to account for multirate exchange induced by different shapes, sizes, properties, and volumetric fractions of matrix blocks bounded by multiple sets of orthogonal fractures with different spacing. The global transfer functions represent the fundamental solutions to convective, convective-conductive, and convective-dispersive heat transport in fractures (or aquifers) without exchange and are available for various (1-D linear, 1-D radial, 2-D dipole, and single-well injection-withdrawal) flow fields. The new solutions with exchange are developed using thereby greatly simplifying solution development in a novel way, where are a fracture-matrix scaling factor and the boundary condition function. The new solutions are applied to several example problems, showing that heat transport in fractured aquifers is significantly impacted by (1) thermal dispersion in fractures that is rarely considered, (2) multirate heat exchange with a wide range of size and anisotropy of rectangular matrix blocks, and (3) heat exchange between aquifers and aquitards. |
英文关键词 | analytical solution fracture rock matrix heat transport memory function multirate diffusion |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000461858900028 |
WOS关键词 | THERMAL DISPERSION COEFFICIENTS ; POROUS-MEDIA ; RADIAL DISPERSION ; MATRIX DIFFUSION ; TEMPERATURE DISTRIBUTION ; CONTAMINANT TRANSPORT ; APPROXIMATE SOLUTIONS ; NUMERICAL INVERSION ; ENERGY-STORAGE ; MASS-TRANSFER |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/181299 |
专题 | 资源环境科学 |
作者单位 | Lawrence Berkeley Natl Lab, Energy Geosci Div, Berkeley, CA 94720 USA |
推荐引用方式 GB/T 7714 | Zhou, Quanlin,Oldenburg, Curtis M.,Rutqvist, Jonny. Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function[J]. WATER RESOURCES RESEARCH,2019,55(2):1405-1428. |
APA | Zhou, Quanlin,Oldenburg, Curtis M.,&Rutqvist, Jonny.(2019).Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function.WATER RESOURCES RESEARCH,55(2),1405-1428. |
MLA | Zhou, Quanlin,et al."Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function".WATER RESOURCES RESEARCH 55.2(2019):1405-1428. |
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