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Development of Analysis Method for Geothermal Pressure Interference Test Using Kalman Filtering

Research Project

Project/Area Number 02650456
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 資源開発工学
Research InstitutionKyushu University

Principal Investigator

ITOI Ryuichi  Kyushu Univeristy, Faculty of Engineering, Research Associate, 工学部, 助手 (50108768)

Co-Investigator(Kenkyū-buntansha) JINNNO Kenji  Kyusyu University, Faculty of Engineering, Professor, 工学部, 教授 (80038025)
FUKUDA Michihiro  Kyusyu University, Faculty of Engineering, Professor, 工学部, 教授 (40038584)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1991: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
KeywordsPressure Interference Test / Kalman Filtering / Computer Aided Analysis Method / 干渉試験 / 解析方法 / 地熱貯留層
Research Abstract

Kalman filtering has been applied to develop methods to analyze pressure interference tests of multiple-well, multiple-rate problems. Two different reservoir systems are considered in this study : an infinite porous reservoir and a porous reservoir with a presence of a hydraulic boundary. Pressure change observed in an observation well under the situations above can be expressed by applying the principle of superposition to the line source solution. These analytical solutions are nonlinear with respect to parameters to be identified : transmissivity and storativity. Therefore, two different methods are adopted to linealize the solutions : one is taking the ordinary logarithm, and another is to approximate the nonlinear function with Taylor's series expansion. Then, Kalman filtering is formed using these linealized equations, and two parameters are estimated at every moment when observation pressure value is obtained.
Characteristics of the analysis method depending on the way of linealization are :
1)For the logarithmic case, estimated values never diverge during the estimation procedure even if the discrepancy between the initial estimates and the most probable values is greater by several orders of magnitude. Therefore, this method is particularly effective when no prior information on the parameters is available.
2)For Taylor's expansion case, reasonable values of parameters can be estimated at early stage of the estimation procedure under conditions that the initial estimates are given within a difference of one order of magnitude compared with the most probable values. Thus, more quick estimation is possible compared with the method above.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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