GSTDTAP  > 资源环境科学
DOI10.1002/2017WR021360
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
ISSN0043-1397
EISSN1944-7973
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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