Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Study on applicability of fractal theory to cohesive sediment in small rivers

프랙탈 이론의 소하천 점착성 유사 적용에 관한 연구

  • Lim, Byung Gu (Geum-River Environment Research Center) ;
  • Son, Minwoo (Dept. of Civil Eng., Chungnam National University)
  • 임병구 (금강물환경연구소) ;
  • 손민우 (충남대학교 공과대학 토목공학과)
  • Received : 2016.07.21
  • Accepted : 2016.09.20
  • Published : 2016.10.31
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Abstract

Cohesive sediments form flocs through the flocculation process. The size and density of floc are variable whereas those of a fine sediment are always assumed to be constant. The settling velocity, one of main factors of sediment transport, is determined by size and density of particle. Therefore, the flocculation process plays an important role in transport of cohesive sediment. It is of great difficulty to directly measure the density of floc in the field due to technical limitation at present. It is a popular approach to estimate the density of floc by applying the fractal theory. The main assumption of fractal theory is the self-similarity. This study aims to examine the applicability of fractal theory to cohesive sediment in small rivers of Korea. Sampling sediment has been conducted in two different basins of Geum river and Yeongsan river. The results of settling experiments using commercial camera show that the sediment in Geum river basin follows the main concept of fractal theory whereas the sediment in Yeongsan river basin does not have a clear relationship between floc size and fractal dimension. It is known from this finding that the fractal theory is not easily applicable under the condition that the cohesive sediment includes the high content of organic matter.

점착성 유사는 작은 1차 입자가 단독으로 거동하는 것이 아니라 크기와 밀도를 변화시키는 응집현상을 통해 서로 뭉쳐진 플럭의 형태로 이동하게 된다. 유사의 거동에 매우 중요한 영향을 주는 침강속도는 유사의 크기와 밀도에 의해 결정되므로 응집현상이 점착성 유사에 주는 영향은 매우 크다고 할 수 있다. 플럭의 밀도는 직접 측정이 어려우므로 프랙탈 이론을 적용하여 추정하는 것이 현재까지 일반적인 모형화의 과정이다. 하지만 프랙탈 이론은 플럭이 자기유사성을 가진다는 가정 하에 적용되는 것이므로 이에 대한 검토가 필요하다. 본 연구는 우리나라 하천 중 점착성 유사가 우세할 것으로 예상되는 금강 및 영산강 유역에서 시료를 채취하고 상업용 카메라를 이용한 침강실험을 통해 프랙탈 이론의 적용 가능성, 플럭의 특성 등을 검토하는 목적으로 수행되었다. 연구의 결과, 금강 유역의 점착성 유사는 프랙탈 이론의 적용이 가능할 것으로 판단되지만 영산강 유역의 유사에서는 크기와 프랙탈 차원의 명확한 상관성을 확인하기 어려웠다. 영산강 유역의 유사는 유기물이 높은 함량으로 포함되어있다. 따라서 1차 입자 하나하나가 응집되며 자기유사성을 가진다는 프랙탈 이론의 기본 가정과는 거리가 있는 것으로 생각된다.

Keywords

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