• Title/Summary/Keyword: maximum horizontal principal stress

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Hydraulic fracturing experiments of highly deviated well with oriented perforation technique

  • Zhu, Hai Y.;Deng, Jin G.;Liu, Shu J.;Wen, Min;Peng, Cheng Y.;Li, Ji R.;Chen, Zi J.;Hu, Lian B.;Lin, Hai;Guang, Dong
    • Geomechanics and Engineering
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    • v.6 no.2
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    • pp.153-172
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    • 2014
  • In order to investigate the effect of different perforation angles (the angle between the perforation direction and the maximum horizontal principal stress) on the fracture initiation and propagation during hydraulic fracturing of highly deviated well in oil & gas saturated formation, laboratory experiments of the hydraulic fracturing had been carried out on the basis of non-dimensional similar criteria by using 400^3 $mm^3$ cement cubes. A plane fracture can be produced when the perforations are placed in the direction of the maximum horizontal principal stress. When the perforation angle is $45^{\circ}$, the fractures firstly initiate from the perforations at the upper side of the wellbore, and then turn to the maximum horizontal principal stress direction. When the well deviation angle and perforation angle are both between $45^{\circ}$ and $90^{\circ}$, the fractures hardly initiate from the perforations at the lower side of the wellbore. Well azimuth (the angle between the wellbore axis and the maximum horizontal principal stress) has a little influence on the fracture geometries; however it mainly increases the fracture roughness, fracture continuity and the number of secondary fractures, and also increases the fracture initiation and propagation pressure. Oriented perforating technology should be applied in highly deviated well to obtain a single plane fracture. If the well deviation angle is smaller, the fractures may link up.

The Effect of Stress on Borehole Deformability (응력이 공내 변형률에 미치는 영향)

  • 윤건신
    • Geotechnical Engineering
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    • v.14 no.5
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    • pp.219-234
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    • 1998
  • Modulus measurements in vertical boreholes under simulated horizontal in-situ stress conditions were performed on laboratory rock specimens. The experimental program was focused on the examination of modulus change with the variation of the orientation, magnitude and ratios of horizontal biaxial stresses. The experiment results show that the modulus increases when the magnitude of the horizontal stresses increases. The modulus measured in the minimum principal direction increased when the ratio between the horizontal principal stresses increased, while the modulus measured in the maximum principal direction decreased when the ratio of the horizontal principal stresses increased. These were caused by the tangential stresses that vary depending upon the magnitude of horizontal stresses, the applied pressure and the orientation of measurement. Also, the measured moduli were determined under tensile stress, compressive stress, or both stresses. Thus, the stress effect on deformation modulus should be considered, not only for the interpretation of the results of borehole deformability measurement, but also for the design of underground gas storage and pressure tunnel, and for the interpretation of tunnel monitoring.

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Three Dimensional Finite Element Analysis of Kimplant (Kimplant에 관한 3차원 유한요소 분석적 연구)

  • Kim, Woo-Uoung;Jang, Kyung-Soo;Kim, Chang-Whe;Kim, Yung-Soo
    • Journal of Dental Rehabilitation and Applied Science
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    • v.20 no.1
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    • pp.9-17
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    • 2004
  • In this study, the biomechanical characteristics of Kimplant were compared with that of Branemark implant by using three dimensional finite element analysis. Two finite element models were fabricated by inserting each implant into the bone model. The bone model was designed to have 18mm height, 13mm width and 15mm length. The size of each implant was planned to have 4mm width and 10mm length. A 200N force was applied on the center of abutment top in three directions - vertical, horizontal and oblique. After analyzing the stresses of fixture and surrounding bone, following results were obtained. 1. There was similar stress distribution between the two models. 2. The magnitude of maximum principal stress on the implant was similar between the two models but the location of maximum principal stress on the implant was different. 3. The magnitude and location of maximum principal stress on the surrounding bone was similar between the two models.

Examination of 3D long-term viscoplastic behaviour of a CFR dam using special material models

  • Karalar, Memduh;Cavusli, Murat
    • Geomechanics and Engineering
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    • v.17 no.2
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    • pp.119-131
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    • 2019
  • Time dependent creep settlements are one of the most important causes of material deteriorations for the huge water structures such as concrete faced rockfill dams (CFRDs). For this reason, performing creep analyses of CFRDs is vital important for monitoring and evaluating of the future and safety of such dams. In this study, it is observed how changes viscoplastic behaviour of a CFR dam depending the time. Ilısu dam that is the longest concrete faced rockfill dam (1775 m) in the world is selected for the three dimensional (3D) analyses. 3D finite difference model of Ilısu dam is modelled using FLAC3D software based on the finite difference method. Two different special creep material models are considered in the numerical analyses. Wipp-creep viscoplastic material model and burger-creep viscoplastic material model were rarely used for the creep analyses of CFRDs in the last are taken into account for the concrete slab and rockfill materials-foundation, respectively. Moreover, interface elements are defined between the concrete slab-rockfill materials and rockfill materials-foundation to provide interaction condition for 3D model. Firstly, dam and foundation are collapsed under its self-weight and static behaviour of the dam is evaluated for the empty reservoir conditions. Then, reservoir water is modelled considering maximum water level of the dam and time-dependent creep analyses are performed for maximum reservoir condition. In this paper, maximum principal stresses, vertical-horizontal displacements and pore pressures that may occur on the dam body surface during 30 years (from 2017 to 2047) are evaluated in detail. According to numerical analyses, empty and maximum reservoir conditions of Ilısu dam are compared with each other in detail. 4 various nodal points are selected under the concrete slab to better seen viscoplastic behaviour changes of the dam and viscoplastic behaviour differences of these points during 30 years are graphically presented. It is clearly seen that horizontal-vertical displacements and principal stresses for maximum reservoir condition are more than the empty reservoir condition of the dam and significant pore pressures are observed during 30 years for maximum reservoir condition. In addition, horizontal-vertical displacements, principal stresses and pore pressures for 4 nodal points obviously increased until a certain time and changes decreased after this time.

Current State of Stress in South-East Korea (한반도 남동부의 현생 응력장)

  • Lee, Jun-Bok;Chang, Chan-Dong
    • The Journal of Engineering Geology
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    • v.17 no.2 s.52
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    • pp.299-307
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    • 2007
  • We collected data of hydraulic fracturing tests and overcoring tests conducted in 84 boreholes in the south-east Korea in order to analyze the contemporary state of stress in this region. The average direction of the maximum horizontal stress was determined to be $N66^{\circ}{\pm}31^{\circ}E$. The relative magnitudes of the three principal stresses was ${\sigma}_v$ (vertical stress) < ${\sigma}_h$ (minimum horizontal stress) < ${\sigma}_H$ (maximum horizontal stress), indicating thrust fault stress regime. The stress ratio K (horizontal stress/vertical stress) was relatively high (2.2

The Maximum Shear Stress Distribution in a Stiffener attached to a Plate (평판(平板)에 붙은 Stiffener 속에서의 전단응력(剪斷應力)의 분포(分布))

  • Sahng-Jun,Yim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.3 no.1
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    • pp.19-24
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    • 1966
  • The maximum shear stress distribution in a stiffening flat attached to a plat undergoing a single tensile force has been investigated by photoelastic method. In the experiments a photoelastic model, as shown in Fig. 1, has been studied in the fields of a polariscope, as shown in Fig. 2. Fig. 3 shows the isoclinics and Fig. 4 and 5 are stress trajectories of the principal stresses and maximum shear stresses, respectively. Fig. 6 is the isochromatics in light field. The maximum shear stress at each point in the stiffener were determined from the isochromatics in both of light field of light field and dark field. Then the maximum shear stresses were divided by the average shear stress in the model, to obtain the ratio ${\tau}max/{\tau}av$ at each point. Finaly the variations of the ratio ${\tau}max/{\tau}av$ along the horizontal and vertical lines in the stiffener have been plotted, as shown in Fig. 7 and 8. The conclusions reached in this investigation are as follows: (1) The shear stresses transmitted to the stiffener through the juncture are concentrated on the end portions. (2) The maximum shear stress at the ends of the stiffener reaches to about 4 times of average shear stress. (3) The irregularities in the stress distribution are restricted in the end portions of the stiffener.

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The Numerical Analysis of Pillar Stability with Multiple, Irregular Openings (다수의 불규칙 공동을 갖는 광주의 안정성에 관한 수치해석)

  • Min, Hyung-Ki;Lim, Han-Uk
    • Journal of Industrial Technology
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    • v.24 no.A
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    • pp.139-155
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    • 2004
  • A room and pillar mining method has been adopting at the Jeungsun limestone mine. To check stability of pillar with multiple and irregular openings, the size, shape and spacing of rib pillar were first designed using some empirical suggestions. The Finite Difference Method(FDM)was used to analyze the pillar stability. Twelve different cases with the variation of K(horizontal/vertical stress)values, different height and different spacing of pillar were used in this study. Finally Mohr-Coulomb criterion was adopted to calculate the safety factors. Horizontal and vertical displacement, maximum and minimum principal stresses, range of plastic zone and safety factors were calculated at each case. As a result of analysis, the size of one block is 160m long, 70m wide, 40m high with 20m wide rib pillar and 20m square column pillar. The overall recovery at this case can be estimated about 40%.

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A Constitutive Model for Rotation of Principal Stress Axes during Direct Simple Shear Deformation (직접단순전단변형에 따른 주응력 방향의 회전을 고려한 구성모델)

  • Park, Sung-Sik;Lee, Jong-Cheon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.1C
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    • pp.53-62
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    • 2008
  • A constitutive model, which can simulate the effect of principal stress rotation associated with direct simple shear test, is proposed in this study. The model is based on two mobilized planes. The plastic strains occur from the two mobilized planes, and depend on stress state, and they are added. The first plane is a plane of maximum shear stress, which rotates about the horizontal axis, and the second plane is a horizontal plane which is spatially fixed. The second plane is used to consider the effect of principal stress rotation on simple shear tests under different stress states. The soil skeleton behavior observed in drained simple shear tests is captured in the model. This constitutive model is incorporated into the dynamic coupled stress-flow finite difference program FLAC. The model is first calibrated with drained simple shear tests on loose Fraser River sand. The measured shear stress and volume change are partially induced by principal stress rotation and compared with model calculations. The model is verified by comparing predicted and measured settlements due to rigid footing resting on loose sands. Settlements predicted by the proposed model were very similar to measured settlements. Mohr-Coulomb model can not consider the effect of principal stress rotation and its prediction was only 20% of measured settlements.

Late Cretaceous to Early Tertiary Paleostress from Healed Microcracks of Cretaceous Granites in Goheung Area, Jeonnam (전남 고흥 일대 백악기 화강암류의 아문미세균열을 이용한 백악기 말-신생대 3기 초 고응력장)

  • Kang, Seong-Seung;Lim, Chel-Gi;Sim, Hye-Min;Yoon, Jae-Hong;Kim, Cheong-Bin
    • Journal of the Korean earth science society
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    • v.29 no.3
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    • pp.255-262
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    • 2008
  • Late Cretaceous to early Tertiary paleostress was evaluated by analyzing the healed microcracks in the Cretaceous granite of the Goheung area, south Korea. Healed microcracks in five granite samples (GH-1, GH-3, GH-4, GH-5, GH-8) were investigated and measured according to direction. The directions of maximum horizontal principal stress in GH-1, GH-3, and GH-4 are dominantly $N60^{\circ}W\;and\;N70^{\circ}E,\;N20^{\circ}W\;and\;N50^{\circ}W$, while minor directions are N-S and $N30^{\circ}E$. In GH-5 and GH-8, $N40^{\circ}E\;and\;N10^{\circ}E$ are the most dominant directions, while $N40^{\circ}W$ is the minor direction. Thus overall, the most dominant directions of healed microcracks in the study area are oriented $N60^{\circ}W$, while minor directions are oriented $N20^{\circ}W,\;N20^{\circ}E\;and\;N70^{\circ}E$, essentially NE. Combining the paleostress results of this study with other studies, the direction of the maximum horizontal principal stress in the study area during the late Cretaceous to the early Tertiary should perhaps be changed WNW to NE. The reason for this is thought to be the complex tectonic movements which occurred in northeast Asia at that time.

Paleostress from Healed Microcracks and Fluid Inclusions in Quartz of the Jurassic Granites in the Southwestern Ogcheon Folded Belt (옥천습곡대 서남부지역에 분포하는 쥬라기 화강암류의 석영내 아문 미세균열 및 유체포유물을 이용한 고응력장)

  • Kang, Seong-Seung;Yoo, Bong-Chul;Jang, Bo-An;Kim, Cheong-Bin
    • Journal of the Korean earth science society
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    • v.30 no.1
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    • pp.19-32
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    • 2009
  • Paleostress was interpreted by analyzing the healed microcracks and the secondary fluid inclusions in quartz of the Jurassic granites distributed in the southwestern Ogcheon Folded Belt, South Korea. The most dominant direction of healed microcracks in the study area was oriented $N30^{\circ}W$, and $N70^{\circ}W$ direction was also recognized. The formation temperatures of fluid inclusions were ranged $380-550^{\circ}C$ and the age of healed microcrack formations might have been approximately 166-200 Ma. Comparing the paleostress orientation obtained from the direction of healed microcracks to the formation age of healed microcracks estimated from the secondary fluid inclusions, it is considered that granitic rock body in study area was subject to a maximum horizontal principal stress along the NNW-SSE and WNW-ESE directions in the early Jurassic to middle Jurassic.