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An Analytical Solution of Progressive Wave-Induced Residual Pore-Water Pressure in Seabed

진행파동장하 해저지반내 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.) ;
  • Kim, Do-Sam (Dept. of Civil Eng., Korea Maritime and Ocean Univ.) ;
  • Kim, Tae-Hyung (Dept. of Civil Eng., Korea Maritime and Ocean Univ.) ;
  • Kim, Kyu-Han (Dept. of Energy Resources and Plant Eng., Catholic Kwandong Univ.) ;
  • Ryu, Heung Won (Dept. of Civil and Environmental Eng., Korea Maritime and Ocean Univ.)
  • 이광호 (가톨릭관동대학교 에너지자원플랜트공학과) ;
  • 김동욱 (한국해양대학교 토목환경공학과) ;
  • 김도삼 (한국해양대학교 건설공학과) ;
  • 김태형 (한국해양대학교 건설공학과) ;
  • 김규한 (가톨릭관동대학교 토목공학과) ;
  • 류흥원 (한국해양대학교 토목환경공학과)
  • Received : 2015.04.01
  • Accepted : 2015.05.08
  • Published : 2015.06.30

Abstract

In this paper, the errors found in the existed analytical solutions described the mechanism of residual pore-water pressure accumulation were examined and a new analytical was proposed. The new analytical solution was derived by using a Fourier series expansion and separation of variables was verified by comparison with the existed both analytical and numerical solutions and experimental result. The new analytical solution is very simple that there is no need for numerical integration for deep soil thickness. In addition, the solutions of the residual pore-water pressure for finite, deep, and shallow soil thickness reveled that it is possible to approach from finite to shallow soil thickness, but not possible to deep soil thickness because there was discontinues zone between finite and deep soil thickness.

본 연구에서는 잔류간극수압의 추정에 관한 기존의 해석해에서 지적된 오류를 수정한 새로운 해석해를 제시한다. Fourier급수전개법과 변수분리법으로 산정된 해석해의 타당성은 기존의 해석해, 수치해석해 및 실험결과와 비교 검토로부터 검증된다. 무한 (깊은)두께의 본 해석해는 기존의 해석해보다는 수치적분 등이 수행될 필요가 없는 보다 간단한 식이다. 유한두께에 관한 해석해에 지반두께를 매우 작게 한 경우 극한의 얕은 두께로 점근적인 접근은 가능하지만, 지반두께를 매우 크게 한 경우 극한의 무한두께로 접근은 불가능하며, 유한두께와 무한두께의 사이에는 불연속적인 영역이 존재한다.

Keywords

References

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  1. An Analytical Study on Generation of Pore-Water Pressures Induced by Flow and Waves in Seabed, and Resulting Liquefaction vol.27, pp.5, 2015, https://doi.org/10.9765/KSCOE.2015.27.5.324