Journal of the Korean Geotechnical Society (한국지반공학회논문집)

Korean Geotechnical Society (한국지반공학회)
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An Analytical Solution of Flow and Progressive Wave-Induced Residual Pore Water Pressure in Seabed

흐름과 진행파에 의한 해저지반 내 잔류간극수압의 해석해

  • Lee, Kwang-Ho (Dept. of Energy Resources and Plant Eng., Catholic Kwandong Univ.) ;
  • Kim, Dong-Wook (Dept. of Civil and Environmental Eng., Korea Maritime and Ocean Univ.) ;
  • Kang, Gi-Chun (Dam & Watershed Maintenance Dept., K-water) ;
  • Kim, Do-Sam (Dept. of Civil Eng., Korea Maritime and Ocean Univ.) ;
  • Kim, Tae-Hyung (Dept. of Civil Eng., Korea Maritime and Ocean Univ.)
  • 이광호 (가톨릭관동대학교 에너지자원플랜트공학과) ;
  • 김동욱 (한국해양대학교 토목환경공학과) ;
  • 강기천 (한국수자원공사 댐.유역관리처) ;
  • 김도삼 (한국해양대학교 건설공학과) ;
  • 김태형 (한국해양대학교 건설공학과)
  • Received : 2015.04.17
  • Accepted : 2015.07.14
  • Published : 2015.07.31
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Abstract

This study extended the Lee et al.'s (2015a) solution which improved the existing analytical solution for prediction of the residual pore water pressure into progressive wave and flow coexisting field. At this time, the variation of incident wave period and wave length should be incorporated to Lee et al.'s (2015a) analytical solution, which does not consider flow. For the case of infinite thickness, the new analytical solution using Fourier series was compared to the analytical solution using Laplace transformation proposed by Jeng and Seymour (2007). It was verified that the new solution was identical to the Jeng and Seymour's solution. After verification of the new analytical solution, the residual pore water pressure head was examined closely under various given values of flow velocity's magnitude, direction, incident wave's period and seabed thickness. In each proposed analytical solution, asymptotic approach to shallow depth with the changes in the soil thickness within finite soil thickness was found possible, but not to infinite depth. It is also identified that there exists a discrepancy case between the results obtained from the finite and the infinite seabed thicknesses even on the same soil depth.

본 연구에서는 잔류간극수압의 추정에 관한 기존의 해석해에서 지적된 오류를 수정한 Lee et al.(2015a)의 연구결과를 진행파와 흐름의 공존장으로 확장한다. 이 때, 흐름이 없는 경우를 대상으로 한 Lee et al.(2015a)의 이론결과에 흐름에 의한 입사파의 주기와 파장의 변화를 고려하여야 한다. 검증에서는 Laplace 변환법으로부터 무한 두께의 경우에 대해서만 해를 제시한 Jeng and Seymour(2007)의 해석해와 Fourier 급수전개법에 의한 본 해석해의 두 결과를 비교하여 각각 상이한 형태를 갖는 두 해석해의 결과가 완전히 동일하다는 것을 확인할 수 있었다. 따라서, 유한, 무한 및 얕은 두께의 해저지반에 대한 각 해석해에 흐름속도의 크기와 방향, 지반두께 및 입사파 주기 등을 변화시켜 잔류간극수두의 변화특성을 면밀히 분석 검토하였다. 제시되는 각 해석해에서 지반두께의 변화에 의해 유한 두께의 토층에서 얕은 두께로의 점근적인 접근은 가능하지만, 무한 두께로의 접근은 불가능하며, 유한 두께와 무한 두께의 사이에는 동일한 토층 두께에 대해서도 서로의 결과가 일치하지 않는 경우가 있다는 것을 확인할 수 있었다.

Keywords

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