• Proceedings of the KSEEG Conference
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• 2001.04a
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• pp.115-118
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• 2001

Suppressed Wave equation Estimation of Traveltime (SWEET, Shin et, al., 2000) 알고리즘을 이용하여 등방성 및 이방성 탄성 매질에 대한 ched 주시와 진폭을 계산하는 방법을 개발하였다. SWEET 알고리즘을 2차원 등방성 및 이방성 탄성 매질의 속도 구조에 적용하여 P파의 초동 주시와 진폭을 계산 할 수 있었다. 본 논문에서는 간단한 등방성 균질 탄성 모형, 복잡한 등방성 탄성 모형 및 간단한 이방성 균질 모형에 대한 수치 계산 결과를 보여 줄 것이다.

• Proceedings of the Korea Water Resources Association Conference
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• 2020.06a
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• pp.414-414
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• 2020

고전 천수방정식을 적용한 2차원 도시홍수 모델링에서는 지형의 정확한 반영을 위해 고해상도 격자가 요구되며 이는 많은 계산시간과 노력을 필요로 한다. 최근에는 다공성 천수방정식을 적용한 도시홍수해석으로 많은 계산 노력이 요구되는 도시홍수모델링의 한계를 극복한 연구가 많이 이루어지지고 있다. 이러한 연구는 도시 홍수에서 흐름이 공간적으로 변화할 때 불균일 공극이 존재하므로 격자의 크기를 다르게 하여 이러한 불균일성을 해결하고자 하는 등방성 천수모형의 적용에서 시작되었다. 하지만, 등방성 공극을 고려한 도시홍수 해석모형은 대표요소체적(REV)보다 더 큰 격자의 적용을 해야 하는 제한성을 가진다. 반면, 비등방성 공극은 대표요소체적의 적용이 필요하지 않아 불균일 공극의 크기에 관계없이 이론상으로는 동일한 해상도의 격자가 사용가능하긴 하지만, 실제 도시홍수 해석에서 중요하면서도 도전적인 연구이다. 본 연구에서는 도시홍수의 효율적 계산을 위해 비등방성 공극을 고려한 적분형 다공성 천수방정식을 기반으로 하는 2차원 도시홍수 해석모형을 개발하였다. 모형의 개발을 위해, 적용 격자내에서 도시지역의 건물이 차지하는 길이 및 면적을 산정하고 그 값을 2차원 천수방정식에 적용 가능하도록 체적공극(𝜙_j)와 면적공극(𝜓_k)을 2차원 고전 천수방정식에 추가하였다. 개발모형은 고전 천수방정식, 등방성 공극 고려(미분형 다공성) 천수방정식 및 비등방성 공극 고려(적분형 다공성) 천수방정식의 적용이 가능하여, 각 모형에 적합한 2차원 격자 생성, 각 모형의 매개변수를 보정 그리고 정확성, 효율성, 적용성이 비교 가능하다. 각 모형의 정확성과 효율성 비교를 위해 3가지의 오차 비교 (구조적 오차, 격자크기 오차, 공극 모형 오차), 계산시간 비교, 공간 변동성 검증을 위한 수심 종단형상 비교하였다.

• The Korean Journal of Applied Statistics
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• v.27 no.5
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• pp.755-771
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• 2014

Isotropy is one of the main assumptions for the ease of spatial prediction (named kriging) based on some covariance models. A lack of isotropy (or anisotropy) in a spatial process necessitates that some additional parameters (angle and ratio) for anisotropic covariance model be obtained in order to produce a more reliable prediction. In this paper, we propose a new class of geometrically extended anisotropic covariance models expressed as a weighted average of some geometrically anisotropic models. The maximum likelihood estimation method is taken into account to estimate the parameters of our interest. We evaluate the performances of our proposal and compare it with an isotropic covariance model and a geometrically anisotropic model in simulation studies. We also employ extended geometric anisotropy to the analysis of real data.

• Tunnel and Underground Space
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• v.25 no.5
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• pp.423-434
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• 2015

Scaled model tests were performed to investigate the influence of pillar width, rock strength and isotropy/anisotropy on the stability of twin tunnels. Test models had respectively different pillar widths, uniaxial compressive strengths of modelling materials and model types, where both the deformation behaviors around tunnels and the biaxial pressure data at a time of pillar cracking were analysed. The cracking pressures of the higher strength models were higher than the lower strength models, whereas the percentage of cracking pressure to uniaxial compressive strength of modelling materials showed an opposite tendency. The cracking pressures of the shallower pillar width models were lower than the thicker models, moreover the percentage of that showed a same tendency. It has been found that the pillar width was one of the main factors influencing on the stability of twin tunnels. Model types such as isotropy/anisotropy also influenced on the stability of twin tunnels. The anisotropic models showed lower values of both cracking pressures and the percentage of that than the isotropic models, where the pillar cracks of anisotropic models were generated with regard to the pre-existing joint planes.

• Journal of Korea Water Resources Association
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• v.38 no.10 s.159
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• pp.871-883
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• 2005

This paper investigates the impacts of turbulent anisotropy on the mean flow and turbulence structures in vegetated open-channel flows. The Reynolds stress model, which is an anisotropic turbulence model, is used for the turbulence closure. Plain open-channel flows and vegetated flows with emergent and submerged plants are simulated. Computed profiles of the mean velocity and turbulence structures are compared with measured data available in the literature. Comparisons are also made with the predictions by the k-$\epsilon$ model and by the algebraic stress model. For plain open-channel flows and open-channel flows with emergent vegetation, the mean velocity and Reynolds stress profiles by isotropic and anisotropic turbulence models were hardly distinguished and they agreed well with measured data. This means that the mean flow and Reynolds stress is hardly affected by anisotropy of turbulence. However, anisotropy of turbulence due to the damping effect near the bottom and free surface is successfully simulated only by the Reynolds stress model. In open-channel flows with submerged vegetation, anisotropy of turbulence is strengthenednear the vegetation height. The Reynolds stress model predicts the mean velocity and turbulence intensity better than the algebraic stress model or the k-$\epsilon$ model. However, above the vegetation height, the k-$\epsilon$ model overestimates the mean velocity and underestimates turbulence intensity Sediment transport capacity of vegetated open-channel flows is also investigated by using the computed profiles. It is shown that the isotropic turbulence model underestimates seriously suspended load.

• Geophysics and Geophysical Exploration
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• v.11 no.2
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• pp.153-160
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• 2008

Seismic modeling is used to simulate wave propagation in the earth. Although the earth's subsurface is usually semi-infinite, we cannot handle the semi-infinite model in seismic modeling because of limited computational resources. For this reason, we usually assume a finite-sized model in seismic modeling. In that case, we need to eliminate the edge reflections arising from the artificial boundaries introducing a proper boundary condition. In this study, we changed three kinds of boundary conditions (sponge boundary condition, Clayton and Engquist's absorbing boundary condition, and Higdon's transparent boundary condition) so that they can be applied in elastic wave modeling for anisotropic media. We then apply them to several models whose Poisson's ratios are different. Clayton and Engquist's absorbing boundary condition is unstable in both isotropic and anisotropic media, when Poisson's ratio is large. This indicates that the absorbing boundary condition can be applied in anisotropic media restrictively. Although the sponge boundary condition yields good results for both isotropic and anisotropic media, it requires too much computational memory and time. On the other hand, Higdon's transparent boundary condition is not only inexpensive, but also reduce reflections over a wide range of incident angles. We think that Higdon's transparent boundary condition can be a method of choice for anisotropic media, where Poisson's ratio is large.

• The Journal of Engineering Geology
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• v.3 no.3
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• pp.231-239
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• 1993

This paper presents a result on the determination of velocity distribution by a tomographic inversion of crosshole seismic traveltimes in transversely isotropic(aniso tropic) media. The crosshole traveltimes used in this study are synthetic ones computed by ray tracing for some models having isotropic and transversely isotropic velocity distributions. The traveltimes are inverted by a general ART and ansotropic ART which considers the transversely isotropic effect during inver sion. The aniotropic ART gives accurate velodty distributions of transversely isotropic and isotropic models, while the isotropic ART determines accurate velocities only for the isotropic model but inaccurate for the transversely isotropic one. Therefore, the anisotropic ART may be used in case where no information is known on the isotropy or transverse isotropy of a survey area.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.545-549
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• 2009

본 연구에서는 주흐름방향으로 식생 영역이 교차적으로 존재하는 개수로 흐름에 대한 3차원 수치 모의를 수행하였다. 지배방정식의 난류 폐합을 위해 $k-{\varepsilon}$ 난류모형을 이용하였다. 먼저, 하상의 일부만 식재된 부분 식생 수로를 수치모의 하고 기존의 실험 결과와 비교하였다. 그 결과 본 모형이 평균유속 분포를 매우 잘 예측하는 것으로 나타났으나, 레이놀즈응력 분포는 실험 결과에 비해 비식생영역에서는 다소 과소 산정하고 식생영역에서는 과대 산정하는 것으로 나타났다. 이는 본 모형이 등방성 모형이기 때문에 식생 경계부에서 발생되는 난류의 비등방성 효과를 정확히 예측 할 수 없기 때문인 것으로 판단된다. 또한 주흐름방향으로 식생 영역이 교차적으로 존재하는 대응 식생 수로를 수치모의하고, 계산 결과를 기존의 실험 결과와 비교하였다. 그 결과 본 모형이 대응 식생 수로에서의 유속 분포를 매우 잘 예측하는 것으로 나타났다. 또한 식생 밀도가 증가함에 따라 식생이 흐름 방향을 변화시켜 점차 만곡수로와 유사한 형태의 흐름이 형성되는 것으로 나타났다.

• Tunnel and Underground Space
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• v.18 no.4
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• pp.300-311
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• 2008

In this study, scaled model tests were performed to investigate the stability of three parallel tunnels. Seven types of test models which had respectively different pillar widths, tunnel sectional shapes, support conditions and ground conditions were experimented, where crack initiating pressures and deformation behaviors around tunnels were investigated. In order to evaluate the effect of pillar widths on stability, various models were experimented. As results, the models with shallower pillar widths proved to be unstable because of lower crack initiating pressures and more tunnel convergences than the models with thicker pillar widths. In order to find the effect of tunnel sectional shape on stability, the models with arched, semi-arched and rectangular tunnels were experimented. Among them rectangular tunnel model was the most unstable, where the arched tunnel model with small radius of roof curvature was more stable than semi-arched one. The model with rockbolt showed higher crack initiating pressure and less roof lowering than the unsupported model. The deformation behaviors of tunnels in the anisotropic ground model were quite different from those in the isotropic ground model. Futhermore, the results of FLAC analysis were qualitatively coincident with the experimental results.

• Journal of Korean Society of Steel Construction
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• v.13 no.1
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• pp.101-113
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• 2001

The main purpose of this paper is to present deflections of laminated composite plates on the two-parameter foundations. that is an elastic foundation with shear layer. This paper focuses on the deformation behaviour of anisotropic structures on elastic foundations. The third-order shear deformation theory is applied by using the double-fourier series. To validate the derived equations the obtained displacements for simply supported isotropic and orthotropic plates on elastic foundations are compared with those of Timoshenko and LUSAS program. The results show an excellent agreement for the isotropic and LUSAS program. The results show an excellent agreement for the isotropic and orthotropic plates on the elastic foundations. Numerical results for displacements are presented to show the effects of side-to-thickness ratio aspect ratio, material anisotropy and shear modulus of foundations.