• Title/Summary/Keyword: 표준축차법

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Identification of Manning's Roughness in 1D nonuniform flow (최적화 기법을 이용한 1차원 부등류에서의 매닝조도계수 추정)

  • Lee, Du-Han;Rhee, Dong-Sup;Kim, Myoung-Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.679-683
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    • 2010
  • 본 연구에서는 공간적 변수인 조도계수를 기지의 수위값을 이용하여 최적값을 결정하는 방법에 대해서 검토하고자 한다. 최적화 기법에 의한 조도계수는 기지의 수위값과 수치모의에 의한 결과 값의 전체 오차를 최소화하는 값으로 결정된다. 본 연구에서는 3가지 최적화 기법을 이용하였으며 가상 수로에 대해서 적용하였다. 수위계산은 표준축차법에 의해 수행하였으며 사용된 최적화 기법은 quasi-Newton 방법이다. 1차원 모형은 Matlab을 이용하여 표준축자법으로 구성하였으며 BFGS 기법, L-BFGS 기법, Steepest Gradient Descent 기법 등도 Matlab으로 구성하였다. 표준축차법은 조도계수가 입력되면 기지의 수위값과의 2-norm을 계산하도록 구성하였다. 계산 결과에 의하면 세가 기법 모두 20 23회 정도의 반복계산을 수행하고 값이 수렴되었는데, L-BFGS의 경우에는 정확하게 음수의 조도계수로 수렴하였으며, BFGS기법과 Steepest Gradient 기법의 경우에는 양의 값으로 정확하게 수렴하였다.

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Quasi-Steady Model of Newton-Raphson Form for Natural Rivers (자연하천에 대한 Newton-Raphson 형태의 준정상류 계산모형)

  • Kim, Jin-Soo;Jun, Kyung-Soo;Yoon, Byung-Man;Woo, Hyo-Seop
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.640-644
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    • 2008
  • 하상경사가 커서 동수역학적 부정류 계산모형을 안정적으로 적용하기 어렵고, 홍수파의 감쇄효과가 적은 중소하천에 적합한 준정상류 계산모형을 개발하였다. 수립된 모형은 매 시각 유량에 대하여 1차원 하천 부등류 지배방정식인 단면 평균된 1차원 에너지 방정식을 풀도록 구성되어 있으며, 수치해법으로는 Newton-Raphson 방법을 적용한 표준축차법을 사용하였다. Newton-Raphson 방법을 적용하기 위해서는 통수면적, 하폭, 윤변, 동수반경 및 수위에 대한 윤변의 변화율 등의 변수들이 필요하다. 이와 같은 변수들은 각 계산점에서 수위를 계산하기에 앞서 단면자료를 사용하여 0.1 m 간격으로 모든 수위에 대하여 그 값들을 미리 구한 후, 반복 계산 단계에서 사용되는 수위에 대하여 필요한 변수들을 앞서 계산된 변수들과 선형 보간하여 사용하도록 하였다. 하천 구간내에 보가 존재하는 경우에는 보가 위치한 상 하류 간의 지배방정식으로 에너지 방정식 대신에 월류 유량 관계식을 사용하였으며, 이때의 수치해법 역시 Newton-Raphson 방법을 사용하였다. 수립된 모형을 한탄강 하류 구간에 적용하여 HEC-RAS 모형과 모의 결과를 비교한 결과, 두 모형의 계산결과가 잘 일치하는 것으로 나타났다. 에너지 경사항의 근사 방법에 따른 민감도 분석을 실시하였다.

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On Application of Computation Method of Water Surface Profile Using HEC-2 (수면곡선계산법의 적용에 대한 연구 -HEC-2모형 이용을 중심으로-)

  • 이정규;이창해
    • Water for future
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    • v.26 no.3
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    • pp.103-111
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    • 1993
  • The HEC(Hydrologic Engineering Center)-2 program, which utilize the standard step method, is usually adopted in the practical works for the water surface profile computation of natural channels. Water profile computation is, in general, carried upstream for subcritical flow. On the other hand, when the reference water surface si given upstream, numerous efforts and a great deal of time are necessary to compute the downstream water surface profile for subcritical flow. A simple method, computing the water surface profile from upstream to downstream for subcritical flow by HEC-2, is suggested in this paper. The applicability and the accuracy of this method are discussed by applying this method to both prismatic and natural channels.

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Practical Experimental Design Strategy and Analysis for the Comparison of Two Treatments (두 개의 처리 비교를 위한 실용적인 실험 계획 전략과 분석)

  • Lim, Yong-Bin
    • Journal of Korean Society for Quality Management
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    • v.33 no.3
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    • pp.156-160
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    • 2005
  • We consider practical experimental design strategies and analysis to find out whether a modified method give better results than the standard method. The most practical design strategy is for experimenter to make r successive runs under the current standard method and then, change the standard method to a modified method to make another r successive runs under a modified method. To test a statistically significant difference between the population mean of the standard method and a modified method, additional recent data for sufficient number of consecutive responses under the standard method is needed to construct external reference distribution(Box, et al., 1968). Upon those informations unavailable, the practical design strategy is to run the experiment by split plot designs. In this paper, two types of split plot designs are proposed and how to determine efficiently the number of repetition within a given method and replication of those two methods are discussed based on results of the level of significance ${\alpha}$= 0.05 and the power being at least 0.9 at the detectable difference of ${\mu}_2-{\mu}_1=1.5{\times}{\sigma}$.

Risk Model for the Safety Evaluation of Dam and Levee : I. Theory and Model (댐 및 하천제방에 대한 위험도 해석기법의 개발 : I. 이론 및 모형)

  • Han, Geon-Yeon;Lee, Jong-Seok;Kim, Sang-Ho
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.679-690
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    • 1997
  • The risk assessment model for hydrlolgic safety analysis of dam and levee in developed by using Monte-Carlo and AFOSM (Advanced First-Order Second-Moment) method. The fault tree analysis and four phases approach are presented for the safety eveluation of risk of dam and levee. The risk model consists of rainfall-runoff analysis, reservoir routing and channel routing considering the variations in the model parameter. For the rainfall-runoff analysis, KRRL method is adopted with 200-year precipitation and PMP (Probable Maximum Precipitation). Reservoir routing is performed by fourth order Runge-Kutta method and channel routing by standard step method. The suggested model will contribute to safety evaluation of dam and levee and their rehabilitation decision problem.

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Characteristics of Shear Strength and Elastic Waves in Artificially Frozen Specimens using Triaxial Compression Tests (삼축압축실험을 이용한 인공동결시료의 강도평가 및 탄성파 특성변화)

  • Kim, JongChan;Lee, Jong-Sub;Hong, Seung-Seo;Lee, Changho
    • The Journal of Engineering Geology
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    • v.24 no.1
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    • pp.111-122
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    • 2014
  • For accurate laboratory evaluations of soil deposits, it is essential that the samples are undisturbed. An artificial ground-freezing system is the one of the most effective methods for obtaining undisturbed samples from sand deposits. The objective of this study is to estimate the shear strengths and the characteristics of elastic waves of frozen-thawed and unfrozen specimens through the undrained triaxial compression test. For the experiments, Jumunjin standard sands are used to prepare frozen and unfrozen specimens with similar relative densities (60% and 80%). The water pluviation method is used to simulate the fully saturated condition under the groundwater table. When thawing the frozen specimens, the temperature is measured every minute. After the specimens are completely thawed, undrained triaxial compression tests are conducted using the same procedures as for the unfrozen specimens. During the triaxial tests (saturation, consolidation, and shear phase), compressional and shear waves are measured. The results show that the freeze-thaw process has minor effects on the peak deviatoric stress and shear strength values, and that the process does not affect the internal friction angle. The compressional wave velocity increases with increasing B-value to 1800 m/s in the saturation phase, but tends to remain constant in the process of consolidation and shearing. The shear wave velocity decreases with increasing B-value in the process of saturation, but changes velocity in accordance with the change in effective stress in the processes of consolidation and shearing. The compressional wave velocity has similar values regardless of the freeze-thaw process, but values of shear wave velocity are slighly lower in frozen-thawed specimens than in unfrozen specimens. This study is a preliminary experiment for estimating the shear strength and characteristics of elastic wave velocity in undisturbed frozen specimens that have been obtained using the artificial ground-freezing method.