Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1002/2017WR020811 |
A stable computation of log-derivatives from noisy drawdown data | |
Ramos, Gustavo1; Carrera, Jesus2,3; Gomez, Susana1; Minutti, Carlos1; Camacho, Rodolfo4 | |
2017-09-01 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2017 |
卷号 | 53期号:9 |
文章类型 | Article |
语种 | 英语 |
国家 | Mexico; Spain |
英文摘要 | Pumping tests interpretation is an art that involves dealing with noise coming from multiple sources and conceptual model uncertainty. Interpretation is greatly helped by diagnostic plots, which include drawdown data and their derivative with respect to log-time, called log-derivative. Log-derivatives are especially useful to complement geological understanding in helping to identify the underlying model of fluid flow because they are sensitive to subtle variations in the response to pumping of aquifers and oil reservoirs. The main problem with their use lies in the calculation of the log-derivatives themselves, which may display fluctuations when data are noisy. To overcome this difficulty, we propose a variational regularization approach based on the minimization of a functional consisting of two terms: one ensuring that the computed log-derivatives honor measurements and one that penalizes fluctuations. The minimization leads to a diffusion-like differential equation in the log-derivatives, and boundary conditions that are appropriate for well hydraulics (i.e., radial flow, wellbore storage, fractal behavior, etc.). We have solved this equation by finite differences. We tested the methodology on two synthetic examples showing that a robust solution is obtained. We also report the resulting log-derivative for a real case. |
英文关键词 | pumping test aquifers oil reservoir regularization log-derivative variational method noisy data |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000413484200023 |
WOS关键词 | PUMPING TESTS ; NUMERICAL DIFFERENTIATION ; AQUIFER PARAMETERS ; WELL ; IDENTIFICATION ; PERMEABILITY ; TRANSIENT ; FLOW |
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/21011 |
专题 | 资源环境科学 |
作者单位 | 1.Univ Nacl Autonoma Mexico, Inst Appl Math & Syst, Engn Syst Dept, Mexico City, DF, Mexico; 2.CSIC, Inst Environm Assessment & Water Res IDAEA, Geosci Dept, Barcelona, Spain; 3.Hydrogeol Grp GHS UPC CSIC, Associated Unit, Barcelona, Spain; 4.Univ Nacl Autonoma Mexico, Engn Fac, Postgrad Studies Div, Mexico City, DF, Mexico |
推荐引用方式 GB/T 7714 | Ramos, Gustavo,Carrera, Jesus,Gomez, Susana,et al. A stable computation of log-derivatives from noisy drawdown data[J]. WATER RESOURCES RESEARCH,2017,53(9). |
APA | Ramos, Gustavo,Carrera, Jesus,Gomez, Susana,Minutti, Carlos,&Camacho, Rodolfo.(2017).A stable computation of log-derivatives from noisy drawdown data.WATER RESOURCES RESEARCH,53(9). |
MLA | Ramos, Gustavo,et al."A stable computation of log-derivatives from noisy drawdown data".WATER RESOURCES RESEARCH 53.9(2017). |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论