• Title/Summary/Keyword: 지수 함수식

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Estimation of Final Deformation of Hard Rock Tunnel Using Early Measured Deformation (초기계측치를 이용한 경암 지반내 터널의 최총변위량 예측)

  • 송승곤;양형식;임성식;정소걸
    • Tunnel and Underground Space
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    • v.12 no.2
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    • pp.99-106
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    • 2002
  • To use the early measured data of tunnel deformation in but analysis, the relationship between these values find final deformation data were studied. Panet\`s exponential and fraction equations successfully approximate the convergence of the hard rock tunnels. Measured deformation data of ID location, $U_{1D}$ show that they can be lilted to linear equations but should not be used to estimate potential deformation before measurement, $C_{0}$. Early measured data $U_{1D}$ $U_{2D}$ , and final deformation $ U_{L}$ showed linear correlations. It proved that estimated data of final deformation from early measured ones can be used as input parameters for back analysis.

Fractal characteristic of hydraulic geometry and hydrological homogeneity (수리기하의 프랙털 특성과 수문학적 동질성)

  • Kim, Jong-Chun;Paik, Kyung-Rock
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.93-93
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    • 2012
  • 하천의 수면 폭, 평균수심, 평균유속은 유량과 함께 변화한다. 이들의 관계는 멱함수의 형태로 표현될 수 있으며, 변동성을 바라보는 관점에 따라 두 가지로 구분된다. 하나는 시간에 따른 변동성으로 한 지점에서 서로 다른 주기를 갖는 유량들의 폭, 수심, 유속과의 관계(지점수리기하, at a station hydraulic geometry)이며, 다른 하나는 공간적 변동성으로 하천의 하류 방향으로 가면서 나타나는 유량과 폭, 수심, 유속과의 관계(하류수리기하, downstream hydraulic geometry)이다(Leopold and Maddock, 1953). 두 가지 수리기하의 경우 모두 자연 하천의 프랙털 특성(fractal)을 보여주는 예라 할 수 있다. Dodov and Foufoula-Georgiou (2004)는 Stall and Fok (1968)의 자료를 재분석한 결과, 지점수리기하의 지수 값이 해당 지점에서의 유역면적에 관한 함수로 표현될 수 있음을 발견하였다. 그러나, 이러한 멀티 프랙털 특성은 모든 하천유역에서 발견되는 것은 아니며, Dodov and Foufoula-Georgiou (2004)가 통계적으로 분석한 대상유역의 결과도 그 유의성에 논란의 여지가 있다고 볼 수 있어서, 현대 수문지형학의 남겨진 숙제라고 할 수 있다. 이에 본 연구에서는 수리기하의 멀티 프랙털 특성을 수문학적 동질성 여부라는 측면에서 탐구하였다. 이를 위해 본 연구에서는 기존 수리기하 관계식과 차별되는 무차원변량을 이용한 새로운 관계식을 제안하였으며 이를 관측 자료에 적용하여, 멀티 프랙털 특성의 존재 여부를 고찰하였다.

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Improvement in probabilistic drought prediction method using Bayes' theorem (베이즈이론을 이용한 가뭄 확률 전망 기법 고도화)

  • Kim, Daeho;Kim, Young-Oh
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.153-153
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    • 2020
  • 우리나라에선 크고 작은 가뭄 피해가 자주 일어나고 있으며 최근엔 유래 없는 다년가뭄이 발생하면서 가뭄에 대한 경각심이 커지고 있다. 가뭄에 적절하게 대응하여 피해를 경감시키기 위해서는 신뢰도 높은 가뭄 예측이 선행되어야 한다. 이에 본 연구는 앙상블 예측과 베이즈이론(Bayes' theorem)을 수문학적 가뭄지수 중 하나인 SRI(Standardized Runoff Index)에 적용해 가뭄 확률 전망을 실시했으며 이를 EDP(Ensemble Drought Prediction)라고 칭하였다. 국내 8개 댐유역에서 EDP를 생성하고 개선하는 과정은 다음과 같이 진행된다. 우선 TANK모형을 활용한 1개월 선행 유량 예측(Ensemble Streamflow Prediction, ESP)의 결과를 SRI로 변환하여 EDP 확률분포를 생성한다. 그런 다음, EDP를 개선하기 위해 그 기초인 ESP에서 미흡한 토양수분 초기조건을 보완하고자 베이즈이론을 활용했다. APCC(APEC Climate Center)의 위성 관측 SMI(Soil Moisture Index) 자료로 SRI와의 회귀식을 구축, 이를 우도함수로 정의해 사전 EDP 분포를 업데이트한 EDP+ 확률분포를 생성했다. 그 결과, EDP와 EDP+ 모두 심도가 깊은 가뭄을 전망할수록 예측력이 기후학적 예측보다 좋지 않았다. 그럼에도 우도함수로 사용한 회귀식의 정확도가 높을수록 EDP+의 정확도도 향상되는 경향이 나타났으며, 이는 베이즈이론을 사용한다면 가뭄 확률 전망을 개선할 수 있다는 것을 의미하고 있다. 하지만, 확정 전망 정확도는 확률 전망 정확도와는 관계가 없었는데 이는 확정 전망과 확률 전망이 본질적으로 다르기 때문인 것으로 사료된다.

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Thermodynamic Empirical Equations for Physical Properties of Inert Gas Mixtures (불활성 기체 혼합물의 물성에 관한 열역학적 실험식)

  • 김재덕;여미순;이윤우;노경호
    • Fire Science and Engineering
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    • v.17 no.2
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    • pp.43-49
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    • 2003
  • For the inert gases of Ar, $N_2$and $CO_2$, the empirical equations of the gas mixture were correlated in terms of saturated pressure, density and viscosity. They were obtained by regression analysis based on the mixing rule. The empirical equation of saturated pressure was assumed as the first order function of temperature. The empirical form of density was expressed as compressibility factor and saturated pressure while the empirical equation of viscosity was formulated as a power function of temperature. This empirical equations of the physical properties were obtained in the composition of Ar, $N_2$and $CO_2$, 40/50/10(mol. %).

A Study on the Relationship between the Physical Properties of Soil and the Compression Index of Soft Clay in Gyungnam Coastal Region (경남해안지역 연약점토의 토질특성과 압축지수와의 상관성에 관한 연구)

  • 장정욱;최성민;박춘식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.4
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    • pp.282-289
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    • 2001
  • This study analyzed the relationship between the physical properties of soil and the compression index of the soft clay in Gyungnam coastal region. Tests of physical and mechanical properties of soil have been carried out under the undisturbed condition at 82 Gimhae, 18 Jinhae and 27 Geojespecimens. The result showed that Terzaghi & Peck's empirical equation of the compression index were not applicable. The compression index of soft clay in Gyungnam coastal region was correlated with the water contents, the liquid limit and the initial void ratio. Among these, the initial void ratio showed the highest correlation with the compression index of soft clay in Gyungnam coastal region and the relationship is shown in the following. (1) The compression index of soft clay in Gyungnam coastal region is represented as follows: $C_c=0.74(e_o-0.7$ (2) The relationship between compression index and the swelling index in Gyungnam coastal region is represented as follows: $C_s=(1/8-1/15)C_c$.

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A New Recursive Formula to Derive the Fourier Transforms of Cosine-Pulses Using Modified Class-I PRS Model (수정된 제1종 부분 응답 전송 시스템 모델을 이용한 여현 펄스 푸리에 변환의 새로운 순환 공식)

  • 오용선;조형래;강민구;김한종;강창언
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.12
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    • pp.1343-1352
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    • 1992
  • This paper presents a new and easy method to obtain the Fourier transforms of the n-th order cosine-pulses whose maximum amplitudes are uniform. The new method is focused on deriving a formula which is recursively related following their orders and can be well applied to some numerical solutions. On the other hand, this method also offers more compact procedures in view of analytical solutions than the conventional methods because the results are consist of the sum of two functions which are easily calculated. Especially, the formula can be represented as a complete recursion by the separation of coefficients originated by the authors and the resulting difference equation is given by the sum of the original 'sinc' functions shifted by some symmetrical factors and multiplied by some constants. The constants are easily decided from the binomial coefficients and the shifting factors from the corresponding exponential differences in the expansion of $(a+b)^n$.

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Interference and Capacity Approximation using Riemann-Zeta Function in Multi-Tier CDMA Cellular Systems (다중 셀 CDMA 셀룰라 시스템에서 Riemann-Zeta 함수를 이용한 간섭과 용량 근사식)

  • 김호준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.7A
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    • pp.503-510
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    • 2003
  • In CDMA cellular system, because all users share the frequency resource the signals of other user becomes interference which influences the communication quality. The system capacity defined the number of connected users within a cell is determined by the amount of interference, therefore the exact estimation of interference is important to system performance evaluation. In this paper, we propose an approximated function which calculates other cell interference in terms of Riemann-Zeta function in CDMA cellular systems, and compare with simulation results in other to verify its usefulness. The upper and lower bounds of system capacity calculated with the proposed approximated function gives almost alike result with the simulation. The proposed interference bounds are useful to calculate system capacity and to evaluate some algorithm in a hierarchical cellular systems where various propagation environments are mixed.

A Permeation Behavior for the Pervaporation of Aqueous Ethanol Solution (에탄올 수용액의 Pervaporation에서의 투과거동)

  • Bae, Seong-Youl;Lee, Han-Sun;Hwang, Seong-Min;Kim, Hee-Taik;Kumazawa, Hidehiro
    • Applied Chemistry for Engineering
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    • v.5 no.1
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    • pp.127-138
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    • 1994
  • In the process of pervaporation separation for aqueous ethanol solution through cellulose tai-acetate(CTA) membrane, the modelling on the solution-diffusion permeation mechanism was built up on the basis of sorption and permeation experimental results. Also its function type and parameter were examined. The composition of sorption equilibrium in three component system(Ethanol/Water/CTA) were compared with the calculated value by Flory-Huggins' equation using the pure component sorption data. In order to apply the thermodynamic equilibrium relationship between the membrane free composition in the membrane and the equilibrium composition in the liquid phase, the apparent activity this system, however, the results were not satisfied. Diffusion equations were expressed with the concentration gradient considering permeate alone, and a concentration-dependent diffusion coefficient which includes a parameter was used. And this model was fitted with the measured permeation rates. If the permeation rate and the amount of sorption of one component were much larger than those of the other, the bulk flow term could not be negligible. The flux and selectivity were increased with increasing temperature, and with decreasing downstream pressure.

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Estimating the Competition Indices and Diameter Growth of Individual Trees through Position-dependent Stand Survey (위치종속임분조사(位置從屬林分調査)에 의한 개체목(個體木)의 경쟁지수(競爭指數) 및 흉고직경생장(胸高直徑生長) 추정(推定))

  • Lee, Woo-Kyun
    • Journal of Korean Society of Forest Science
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    • v.85 no.3
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    • pp.539-551
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    • 1996
  • In this study, a number of distance-dependent competition indices on tree-level which incorporate the tree sizes and distances to competitors, and traditional stand-level density measures were estimated from the data compiled with position-dependent survey in a Pinus densiflora stand. The performance of the estimated competition indices was examined by comparing the relationship with the diameter growth, and a dbh growth function, in which the competition index is considered as a one of influence factors, are developed. In the searching method of competing trees, the competition index estimated with $30^{\circ}$ competition interrupting angle showed the highest correlation with the annual dbh growth, while the expanding the competing zone distance had no significant effect on the performance of competition index in estimating annual dbh growth. The most of the examined stand-level competition indices, based on distance-dependent single-tree competition indices, were evaluated to describe similarly the stand competition status. As a result of partial correlation analysis in which the effect of age and site index are eliminated, Alemdag's mean competition index and relative spacing index were determined to have the highest correlation with dbh. The relative spacing index, which can be easily measured in field without measuring the position of individual trees, was considered to be a better suited one for estimating mean dbh of a stand. Among distance-dependent competition indices on tree-level, Hegyi's competition index showed the best performance in their correlation with annual dbh growth, if eliminated the effect of site index and dbh. This enabled to derive the following annual dbh growth function of individual trees which incorporate age, dominant height, dbh and Hegyi's competition index as influence factors : $$dbh^{\prime}=3.975362676{\cdot}age^{-1.099274613}{\cdot}ho^{0.199893990}{\cdot}dbh^{0.269430865}{\cdot}HgCI^{-0.353643587}$$ This function is coincided to the growth principle in which site index has a positive effect on the annual dbh growth, while high age or competition causes to reduce the annual dbh growth, and can be used as a function in single tree growth model.

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Estimation of Runoff Curve Number for Chungju Dam Watershed Using SWAT (SWAT을 이용한 충주댐 유역의 유출곡선지수 산정 방안)

  • Kim, Nam-Won;Lee, Jin-Won;Lee, Jeong-Woo;Lee, Jeong-Eun
    • Journal of Korea Water Resources Association
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    • v.41 no.12
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    • pp.1231-1244
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    • 2008
  • The objective of this study is to present a methodology for estimating runoff curve number(CN) using SWAT model which is capable of reflecting watershed heterogeneity such as climate condition, land use, soil type. The proposed CN estimation method is based on the asymptotic CN method and particularly, it uses surface flow data simulated by SWAT. This method has advantages to estimate spatial CN values according to subbasin division and to reflect watershed characteristics because the calibration process has been made by matching the measured and simulated streamflows. Furthermore, the method is not sensitive to rainfall-runoff data since CN estimation is on a daily basis. The SWAT based CN estimation method is applied to Chungju dam watershed. The regression equation of the estimated CN that exponentially decays with the increase of rainfall is presented.