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確率インバージョンによる地中内部の可視化

Research Project

Project/Area Number 22K20601
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0604:Agricultural economics and rural sociology, agricultural engineering, and related fields
Research InstitutionKyoto University

Principal Investigator

Koch Michael・Conrad  京都大学, 農学研究科, 特定助教 (50964524)

Project Period (FY) 2022-08-31 – 2025-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsinverse problems / transdimensional / interface detection / RJMCMC / HMC / layer detection / 逆解析 / 機能診断
Outline of Research at the Start

自然斜面の亀裂や水みち,地中のパイプラインといった地中や構造物の内部に存在する空洞形状の確率的なイメージング(可視化)を可能にすることで,自然斜面や地盤の安定性や浸透性能の評価,構造物の機能診断やその後の維持管理等に貢献する。現在の空洞探査においては,空洞形状を明確に検出できない問題があり,また内部の可視化精度も高くない。本研究は上記課題を克服するものであり,空洞の数が不明な場合であっても,空洞(固体と空洞の界面)を正確に検出できる一般的な手法を開発する。

Outline of Annual Research Achievements

The research focuses on visualizing subsurface accurately via stochastic inversion, identifying parameters like elastic modulus and interface geometry. The 1-D transdimensional MCMC algorithm, developed initially, now handles correlated and uncorrelated data. Tested on synthetic and real geotechnical data, it precisely detects subsurface layers, depths, and spatial properties, outperforming competitors computationally. Its standout feature is capturing uncertainty in subsurface stratification. A manuscript detailing these findings is under journal review.
Experimental results were mixed despite using a new apparatus. While hydraulic head measurements were precise, outflow rate measurements still show significant errors, albeit less than phase 1. We're reassessing our experimental approach.

Current Status of Research Progress
Current Status of Research Progress

3: Progress in research has been slightly delayed.

Reason

The 1-D transdimensional algorithm developed in phase 1 of this project did not work well on real data (especially for correlated data). This algorithm was improved in the last year and is now able to quantify the uncertainty in number of layers, depth of layer interfaces and random field properties of each layer. This novel algorithm developed has given a valuable insight that accounting for correlations in observation data is of vital importance. This knowledge is now being used in the development of the 2-D transdimensional algorithm.

The new experimental apparatus helped solve some issues in the experimentation program. However, some complications still exist in measuring the outflow rate and we are working on methods to improve the fidelity of these measurements.

Strategy for Future Research Activity

After the successful development and validation of the 1-D transdimensional algorithm on different types of cone penetration test data, work is ongoing to develop the transdimensional HMCID algorithm for void detection.

During the development of the 1-D algorithm, the PI has learnt of a method to integrate cone penetration as well as geophysical data (such as electromagnetic data) to develop higher quality 2-D images of the subsurface by repeated use of 1-D transdimensional algorithms. To this end, I am currently collaborating with geophysicists at Geoscience Australia to integrate the 1-D transdimensional algorithm for cone penetration data (already developed in this project) with their 1-D transdimensional algorithm (open source program known as HiQGA) for electromagnetic data.

A few more trials will be made to obtain reliable measurement results. Learnings from past trials have helped us make improvements in obtaining reliable data. We will continue to modify the device till suitable observations are obtained.

Report

(2 results)
  • 2023 Research-status Report
  • 2022 Research-status Report
  • Research Products

    (11 results)

All 2024 2023 2022

All Journal Article (2 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 2 results) Presentation (8 results) (of which Int'l Joint Research: 2 results,  Invited: 2 results) Book (1 results)

  • [Journal Article] Assessment of HMC Parameter Updates for Piping Zone Boundary Detection2022

    • Author(s)
      Michael C. Koch, Kazunori Fujisawa and Akira Murakami
    • Journal Title

      Proceedings of the 8th International Symposium on Geotechnical Safety and Risk (ISGSR)

      Volume: - Pages: 478-483

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hydraulic Conductivity Field Marginalization in HMC Based Estimation of Piping Zone Boundary2022

    • Author(s)
      Kazunori Fujisawa, Michael C. Koch, Misato Osugi and Akira Murakami
    • Journal Title

      Proceedings of the 8th International Symposium on Geotechnical Safety and Risk (ISGSR)

      Volume: - Pages: 863-867

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Inversion approaches for explicit identification of the geometry of objects in a continuum2024

    • Author(s)
      Koch Michael Conrad
    • Organizer
      Exploring For The Future (EFTF) seminar series, Geoscience Australia
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] Bayesian inversion in a trans-dimensional framework for subsurface stratification2024

    • Author(s)
      Koch Michael Conrad
    • Organizer
      Research Institute for Mathematical Sciences Workshop ‘Some approaches on ill-posed problems -theory and practice-’, Kyoto University
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] Reversible Jump estimation of subsurface stratification using Hamiltonian Monte Carlo method2023

    • Author(s)
      Murata Kazumi, Koch Michael Conrad and Fujisawa Kazunori
    • Organizer
      第58回地盤工学研究発表会
    • Related Report
      2023 Research-status Report
  • [Presentation] Advantages of simultaneous estimation of shape and physical properties using Hamiltonian Monte Carlo method2023

    • Author(s)
      Shibata Tatsuya, Koch Michael Conrad and Fujisawa Kazunori
    • Organizer
      第58回地盤工学研究発表会
    • Related Report
      2023 Research-status Report
  • [Presentation] Assessment of HMC Parameter Updates for Piping Zone Boundary Detection2022

    • Author(s)
      Michael C. Koch, Kazunori Fujisawa and Akira Murakami
    • Organizer
      8th International Symposium for Geotechnical Safety & Risk
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Hydraulic Conductivity Field Marginalization in HMC Based Estimation of Piping Zone Boundary2022

    • Author(s)
      Kazunori Fujisawa, Michael C. Koch, Misato Osugi and Akira Murakami
    • Organizer
      8th International Symposium for Geotechnical Safety & Risk
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Reversible Jump MCMC を用いた地層分布の推定2022

    • Author(s)
      松本 祐弥, Koch Michael, 藤澤 和謙
    • Organizer
      第57回地盤工学研究発表会
    • Related Report
      2022 Research-status Report
  • [Presentation] Hamiltonian Monte Carloを用いた水みち形状と透水係数分布の同時推定2022

    • Author(s)
      柴田 達哉, Koch Michael, 藤澤 和謙
    • Organizer
      第57回地盤工学研究発表会
    • Related Report
      2022 Research-status Report
  • [Book] Inverse Problems - Recent Advances and Applications2023

    • Author(s)
      Michael Conrad Koch, Kazunori Fujisawa and Akira Murakami
    • Total Pages
      19
    • Publisher
      IntechOpen
    • ISBN
      9781803552231
    • Related Report
      2022 Research-status Report

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Published: 2022-09-01   Modified: 2024-12-25  

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