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DOI | 10.1002/2017WR021360 |
An Extended Trajectory Mechanics Approach for Calculating the Path of a Pressure Transient: Derivation and Illustration | |
Vasco, D. W. | |
2018-04-01 | |
发表期刊 | WATER RESOURCES RESEARCH
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ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:4页码:2642-2660 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | Following an approach used in quantum dynamics, an exponential representation of the hydraulic head transforms the diffusion equation governing pressure propagation into an equivalent set of ordinary differential equations. Using a reservoir simulator to determine one set of dependent variables leaves a reduced set of equations for the path of a pressure transient. Unlike the current approach for computing the path of a transient, based on a high-frequency asymptotic solution, the trajectories resulting from this new formulation are valid for arbitrary spatial variations in aquifer properties. For a medium containing interfaces and layers with sharp boundaries, the trajectory mechanics approach produces paths that are compatible with travel time fields produced by a numerical simulator, while the asymptotic solution produces paths that bend too strongly into high permeability regions. The breakdown of the conventional asymptotic solution, due to the presence of sharp boundaries, has implications for model parameter sensitivity calculations and the solution of the inverse problem. For example, near an abrupt boundary, trajectories based on the asymptotic approach deviate significantly from regions of high sensitivity observed in numerical computations. In contrast, paths based on the new trajectory mechanics approach coincide with regions of maximum sensitivity to permeability changes. Plain Language Summary I present a new approach for computing the path of a pressure transient in a highly heterogeneous porous medium. The approach utilizes methods developed in quantum dynamics. The trajectories are useful for visualizing pressure propagation in complicated physical models and may form the basis for an efficient tomographic imaging algorithm. |
英文关键词 | modeling transient pressure inversion |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000434186400008 |
WOS关键词 | TRAVEL-TIME ; HYDRAULIC TOMOGRAPHY ; IMAGINARY TIME ; PUMPING TESTS ; RESERVOIR PROPERTIES ; FIELD ; CONDUCTIVITY ; INVERSION ; METHODOLOGY ; FORMULATION |
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/21941 |
专题 | 资源环境科学 |
作者单位 | Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Berkeley, CA 94720 USA |
推荐引用方式 GB/T 7714 | Vasco, D. W.. An Extended Trajectory Mechanics Approach for Calculating the Path of a Pressure Transient: Derivation and Illustration[J]. WATER RESOURCES RESEARCH,2018,54(4):2642-2660. |
APA | Vasco, D. W..(2018).An Extended Trajectory Mechanics Approach for Calculating the Path of a Pressure Transient: Derivation and Illustration.WATER RESOURCES RESEARCH,54(4),2642-2660. |
MLA | Vasco, D. W.."An Extended Trajectory Mechanics Approach for Calculating the Path of a Pressure Transient: Derivation and Illustration".WATER RESOURCES RESEARCH 54.4(2018):2642-2660. |
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