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Multifaceted analysis of non-linearity of density-driven flow in shallow groundwater

Research Project

Project/Area Number 16K07971
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Agricultural environmental engineering/Agricultural information engineering
Research InstitutionKyoto University

Principal Investigator

TAKEUCHI Junichiro  京都大学, 農学研究科, 助教 (20362428)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords地下水 / 密度流 / 非線形性 / 間隙ネットワーク / パーコレーション理論 / Waylandテスト / アトラクタ再構成 / Hele-Shaw流 / フィンガリング / 格子ボルツマン法 / フィンガリング現象 / 非混合性流体 / 分岐 / レイリー数 / 自励振動 / モデル化
Outline of Final Research Achievements

When high-density-fluid enters shallow groundwater, its flow regime will change depending on velocity of the groundwater and/or the density of inflow fluid. This phenomena is referred to as bifurcation, and this derives from non-linearity of the governing equations. The bifurcation, which had been confirmed through computational experiments, was also ascertained by visualization experiments of seepage flow. But irregular fluctuation was seen in the laboratory experiments, while only simple harmonic wave had been seen in the computational experiments. So, non-linear time series analysis, such as the attractor reconstruction and Wayland test, was done. Those provided evidences that the irregular fluctuation is chaotic one.
In the modeling study of seepage flow through porous media using a pore-network model, it was shown that sub-networks which are composed by invadable pores play a critical role in imbibition and drainage processes from the perspective of the percolation theory.

Academic Significance and Societal Importance of the Research Achievements

地下水における密度流は,火山性熱源に由来する数百年といった時間的・空間的スケールの大きな対流現象が知られているが,浅層地下水においても,条件がそろえば数週間から数か月といったオーダーの対流現象が起こることが示された.対流を伴う高密度の流体の侵入は,下流に広く拡散しながら広がるためこの現象の解明は社会的にも意義がある.
また,多孔質媒体の間隙内への流体の侵入にも,フィンガー流や一様侵入といった侵入様式が存在するが,その発生メカニズムが示されたことは学術的に意義が高い.これにより,空気侵入圧,水侵入圧といった用語がさす状態を明確に規定することができるようになった.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (16 results)

All 2019 2018 2017 2016

All Journal Article (5 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Open Access: 4 results) Presentation (11 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] EVALUATION OF DRAINAGE PROCESS IN POROUS MEDIA BY INVADED PERCOLATION PROBABILITY2019

    • Author(s)
      Junichiro Takeuchi and Masayuki Fujihara
    • Journal Title

      International Journal of GEOMATE

      Volume: 59 Issue: 59 Pages: 90-97

    • DOI

      10.21660/2019.59.8270

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] EVALUATION OF IMBIBITION PROCESS IN POROUS MEDIA BY INVADED PERCOLATION PROBABILITY2018

    • Author(s)
      Takeuchi Junichiro and Masayuki Fujihara
    • Journal Title

      International Journal of GEOMATE

      Volume: 14 Issue: 46 Pages: 1-7

    • DOI

      10.21660/2018.46.7343

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] MODELING OF PERMEABILITY OF POROUS MEDIA WITH MIXED WETTABILITIES BASED ON NONCIRCULAR CAPILLARIES2017

    • Author(s)
      Takeuchi Junichiro,Hidetaka Tsuji, and Masayuki Fujihara
    • Journal Title

      International Journal of GEOMATE

      Volume: 12 Pages: 1-7

    • DOI

      10.21660/2017.34.2642

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Consideration on Behavior of Displacement of Immiscible Fluids in Porous Media Using Percolation Theory2017

    • Author(s)
      Takeuchi, J., Shimizu, M., Iwama, K., and Fujihara, M.
    • Journal Title

      12th Conference on SDEWES (Sustainable Development of Energy, Water and Environment Systems)

      Volume: 12 Pages: 0546-0546

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical Analyses on Occurrence of Thermal Convection in a Flowing Shallow Groundwater2016

    • Author(s)
      Junichiro Takeuchi, Makoto Kawabata, and Masayuki Fujihara
    • Journal Title

      International Journal of GEOMATE

      Volume: 11 Pages: 2688-2694

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] EVALUATION OF DRAINAGE PROCESS IN POROUS MEDIA BY INVADED PERCOLATION PROBABILITY2018

    • Author(s)
      Takeuchi, Junichiro and Masayuki Fujihara
    • Organizer
      8th Int. Conf. on Geotechnique, Construction Materials and Environment, Kuala Lumpur, Malaysia, Nov. 20-22, 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 地下水への塩水浸入の振動の分岐現象に関する可視化実験2018

    • Author(s)
      橋本 大志・竹内 潤一郎・藤原 正幸
    • Organizer
      平成30年度農業農村工学会応用水理研究部会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 代用電荷法を用いたHele-Shaw セル内のフィンガリング現象の数値計算2018

    • Author(s)
      伊藤 豪哉・竹内 潤一郎・藤原 正幸
    • Organizer
      平成30年度農業農村工学会応用水理研究部会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Imbibition and Drainage Processes in Porous Media from the Perspective of Invaded Percolation Probability2018

    • Author(s)
      Takeuchi, J. and M. Fujihara
    • Organizer
      IMI Joint Research Project Workshop (n) Modeling and Analysis of Time Series Data in Math-Agro Sciences
    • Related Report
      2018 Annual Research Report
  • [Presentation] ネットワークの観点から見た多孔質媒体への浸透現象2018

    • Author(s)
      竹内潤一郎
    • Organizer
      RIMS共同研究(グループ型)
    • Related Report
      2017 Research-status Report
  • [Presentation] パーコレーション理論を用いた多孔質媒体への侵入流体の挙動に関する考察2017

    • Author(s)
      竹内潤一郎
    • Organizer
      平成29年度農業農村工学会大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Consideration on Behavior of Displacement of Immiscible Fluids in Porous Media Using Percolation Theory2017

    • Author(s)
      Junichiro Takeuchi
    • Organizer
      Conference on Sustainable development of Energy, Water and Environment Systems
    • Related Report
      2017 Research-status Report
  • [Presentation] 単一粒径粒子からなる多孔質媒体間隙の空間統計解析2017

    • Author(s)
      竹内潤一郎
    • Organizer
      第25回日本雨水資源化システム学会大会研究発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] 格子ボルツマン法を用いた多孔質媒体における非混合性流体の置換現象の再現2017

    • Author(s)
      原啓太郎
    • Organizer
      平成29年度農業農村工学会応用水理研究部会
    • Related Report
      2017 Research-status Report
  • [Presentation] 地下水環境への塩水浸入によって生じる密度流の振動現象の再現実験2016

    • Author(s)
      川畑誠,竹内潤一郎,藤原正幸
    • Organizer
      農業農村工学会応用水理研究部会
    • Place of Presentation
      岐阜
    • Year and Date
      2016-12-03
    • Related Report
      2016 Research-status Report
  • [Presentation] 流れのある地下水における密度流の古典解析2016

    • Author(s)
      竹内潤一郎,川畑誠,藤原正幸
    • Organizer
      農業農村工学会大会講演会
    • Place of Presentation
      仙台
    • Year and Date
      2016-08-30
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2020-03-30  

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