Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1002/2017WR021203 |
Permeability Sensitivity Functions and Rapid Simulation of Hydraulic-Testing Measurements Using Perturbation Theory | |
Gomez, J. D. Escobar; Torres-Verdin, C. | |
2018-03-01 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:3页码:1977-1998 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | Single-well pressure-diffusion simulators enable improved quantitative understanding of hydraulic-testing measurements in the presence of arbitrary spatial variations of rock properties. Simulators of this type implement robust numerical algorithms which are often computationally expensive, thereby making the solution of the forward modeling problem onerous and inefficient. We introduce a time-domain perturbation theory for anisotropic permeable media to efficiently and accurately approximate the transient pressure response of spatially complex aquifers. Although theoretically valid for any spatially dependent rock/fluid property, our single-phase flow study emphasizes arbitrary spatial variations of permeability and anisotropy, which constitute key objectives of hydraulic-testing operations. Contrary to time-honored techniques, the perturbation method invokes pressure-flow deconvolution to compute the background medium's permeability sensitivity function (PSF) with a single numerical simulation run. Subsequently, the first-order term of the perturbed solution is obtained by solving an integral equation that weighs the spatial variations of permeability with the spatial-dependent and time-dependent PSF. Finally, discrete convolution transforms the constant-flow approximation to arbitrary multirate conditions. Multidimensional numerical simulation studies for a wide range of single-well field conditions indicate that perturbed solutions can be computed in less than a few CPU seconds with relative errors in pressure of <5%, corresponding to perturbations in background permeability of up to two orders of magnitude. Our work confirms that the proposed joint perturbation-convolution (JPC) method is an efficient alternative to analytical and numerical solutions for accurate modeling of pressure-diffusion phenomena induced by Neumann or Dirichlet boundary conditions. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000430364900032 |
WOS关键词 | PUMPING TESTS ; WELL ; FLOW ; TRANSMISSIVITY ; STORATIVITY ; AQUIFERS |
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/19956 |
专题 | 资源环境科学 |
作者单位 | Univ Texas Austin, Dept Petr & Geosyst Engn, Austin, TX 78712 USA |
推荐引用方式 GB/T 7714 | Gomez, J. D. Escobar,Torres-Verdin, C.. Permeability Sensitivity Functions and Rapid Simulation of Hydraulic-Testing Measurements Using Perturbation Theory[J]. WATER RESOURCES RESEARCH,2018,54(3):1977-1998. |
APA | Gomez, J. D. Escobar,&Torres-Verdin, C..(2018).Permeability Sensitivity Functions and Rapid Simulation of Hydraulic-Testing Measurements Using Perturbation Theory.WATER RESOURCES RESEARCH,54(3),1977-1998. |
MLA | Gomez, J. D. Escobar,et al."Permeability Sensitivity Functions and Rapid Simulation of Hydraulic-Testing Measurements Using Perturbation Theory".WATER RESOURCES RESEARCH 54.3(2018):1977-1998. |
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