• 제목/요약/키워드: Tensile fracturing

검색결과 30건 처리시간 0.212초

Hydraulic fracture initiation pressure of anisotropic shale gas reservoirs

  • Zhu, Haiyan;Guo, Jianchun;Zhao, Xing;Lu, Qianli;Luo, Bo;Feng, Yong-Cun
    • Geomechanics and Engineering
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    • 제7권4호
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    • pp.403-430
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    • 2014
  • Shale gas formations exhibit strong mechanical and strength anisotropies. Thus, it is necessary to study the effect of anisotropy on the hydraulic fracture initiation pressure. The calculation model for the in-situ stress of the bedding formation is improved according to the effective stress theory. An analytical model of the stresses around wellbore in shale gas reservoirs, in consideration of stratum dip direction, dip angle, and in-situ stress azimuth, has been built. Besides, this work established a calculation model for the stress around the perforation holes. In combination with the tensile failure criterion, a prediction model for the hydraulic fracture initiation pressure in the shale gas reservoirs is put forward. The error between the prediction result and the measured value for the shale gas reservoir in the southern Sichuan Province is only 3.5%. Specifically, effects of factors including elasticity modulus, Poisson's ratio, in-situ stress ratio, tensile strength, perforation angle (the angle between perforation direction and the maximum principal stress) of anisotropic formations on hydraulic fracture initiation pressure have been investigated. The perforation angle has the largest effect on the fracture initiation pressure, followed by the in-situ stress ratio, ratio of tensile strength to pore pressure, and the anisotropy ratio of elasticity moduli as the last. The effect of the anisotropy ratio of the Poisson's ratio on the fracture initiation pressure can be ignored. This study provides a reference for the hydraulic fracturing design in shale gas wells.

The numerical investigation of tensile strength of coal model on the performance of coal plow using Particle Flow Code

  • Fu, Jinwei;Haeri, Hadi;Sarfarazi, Vahab;Marji, Mohammad Fatehi;Li, Tong
    • Structural Engineering and Mechanics
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    • 제82권6호
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    • pp.713-724
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    • 2022
  • Effects of coal tensile strength and plow configuration on the coal fragmentation process was modeled by two-dimensional particles flow code (PFC2D). Three tensile strength values, 0.5, 1,5 and 3.5 MPa were considered in this numerical study. The cutters of plow penetrated in the coal for 4 mm at a rate of 0.016 m/s. According to the PFC manual, the local damping factor was 0.7. Three failure mechanism of coal during the fragmentation process by plow were modelled. The coal material beneath the cutters showed the elastic, plastic and fracturing behaviors in this analysis. In all the models, the plastic zone was fractured and some micro-cracks were induced but the elastic zone remained undamaged. It was observed that the tensile strength affected the failure mechanism of coal significantly and as it increased the extent of the fractured zone underneath the plow cutter decreased during the fragmentation process.

약액으로 고결된 모래 지반의 수압파쇄에 관한 연구 (A Study on Mechanism of Hydrofracturing in Gelled Sandy Ground)

  • 천병식
    • 대한토목학회논문집
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    • 제10권4호
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    • pp.133-140
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    • 1990
  • 약액주입시 사질지반에서 발생하는 수압파쇄의 발생기구를 해명하기 위하여 여러가지 고결사에 대해 많은 주입시험을 행하여 할렬압($P{_f}^{\prime}$)과 구속압(${\sigma}_3^{\prime}$), 고결사의 인장강도(${\sigma}_t$), 투수계수(k)등과 상관관계를 구하였다.

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정밀주조 Hastelloy C-276 합금의 미세조직과 기계적 성질에 미치는 W 함량과 열처리의 영향 (Effect of Tungsten Contents and Heat Treatment on the Microstructures and Mechanical Properties of Hastelloy C-276 Alloy Investment Castings)

  • 유병기;박흥일;배차헌;김성규;정해용
    • 한국주조공학회지
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    • 제37권1호
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    • pp.21-29
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    • 2017
  • The effects of W content and heat treatment on the microstructure and mechanical properties of Hastelloy C-276 alloy investment castings were discussed. As the W content was increased, dendritic microstructure was refined and network type precipitate formed during solidification was distributed on the dendritic grain boundaries. Cr, Fe and Mn were highly segregated in the Ni-based dendrite matrix, and Mo, W, C and Si were in the precipitates. Due to the heat treatment, fine granular and flake precipitates were newly formed in the matrix, and unresolved network type precipitates remained on the grain boundary. The network type precipitates and the granular and flake precipitates formed by heat treatment were confirmed to be ${\mu}$ phase intermetallic compounds with similar compositions. Due to the increase of the W content and the heat treatment, hardness and tensile strength were significantly increased. However, tensile strength after aging treatment was decreased with the W content. These results can be explained in that brittle fracturing by the unresolved network type precipitates dispersed in the grain boundary was predominant over ductile fracturing by the dimple ruptures originating from the fine granular precipitates in the matrix.

콘크리트의 점진적(漸進的) 파괴(破壞)에 대한 비선형(非線型) 구성(構成)모델확립연구(硏究) (A Nonlinear Constitutive Model for Progressive Fracturing of Concrete)

  • 오병환
    • 대한토목학회논문집
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    • 제4권2호
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    • pp.55-64
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    • 1984
  • 본(本) 논문(論文)에서는 콘크리트의 점진적(漸進的) 인장파괴현상(引張破壞現象)을 해석(解析)할 수 있는 증분형(增分形)이며, 진로종속적(進路從屬的)이고, 텐서적으로 불변성(不變性)인 비선형구성(非線型構成)모델이 제안(提案)되었다. 전(全) 변형도(變形度)는 탄성성분(彈性成分)과 비탄성성분(非彈性成分)의 합(合)으로 표시(表示)된다. 콘크리트내부(內部)에는 미세균열(微細龜裂)의 근원(根源)이 되는 약(弱)한 면(面)들이 모든 방향(方向)으로 좌우(左右)하며, 이 약(弱)한 면(面)에서의 법선응력(法線應力)은 법선변형도(法線變形度)의 함수라고 가정된다. 이와 같은 근본개념(根本槪念)아래 가상(假想)일의 원리(原理)로부터 콘크리트의 접선강도(接線剛度)가 유도된다. 본(本) 이론(理論)은 비비례하중(非比例荷重)이나 주응력(主應力)의 방향(方向)이 변(變)하는 경우 등의 일반적(一般的)인 하중상태(荷重狀態)에 적용할 수 있으며, 이것이 본(本) 모델의 주요(主要)한 목적이 될 수 있다. 본(本) 이론(理論)을 변형연화현상(變形軟化現象)을 보이는 직접인장실험자료(直接引張實驗資料)와 비교한 결과 좋은 일치를 얻었다.

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Fluid Infiltration Effect on Breakdown Pressure in Laboratory Hydraulic Fracturing Tests

  • Diaz, Melvin B.;Jung, Sung Gyu;Lee, Gyung Won;Kim, Kwang Yeom
    • 지질공학
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    • 제32권3호
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    • pp.389-399
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    • 2022
  • Observations on the influence of the fluid infiltration on the breakdown pressure during laboratory hydraulic fracturing tests, along with an analysis of the applicability of the breakdown pressure prediction for cylindrical samples using Quasi-static and Linear Elastic Fracture Mechanics approaches were carried out. These approaches consider fluid infiltration through the so-called radius of fluid infiltration or crack radius, a parameter that is not a material property. Two sets of tests under pressurization rate controlled and injection rate controlled tests were used to evaluate the applicability of these methods. The difficulty of the estimation of the radius of fluid infiltration was solved by back calculating this parameter from an initial set of tests, and later, the obtained relationships were used to predict breakdown pressures for a second set of tests. The results showed better predictions for the injection rate than for the pressurization rate tests, with average errors of 3.4% and 18.6%, respectively. The larger error was attributed to differences in the testing conditions for the pressurization rate tests, which had different applied vertical pressures. On the other hand, for the tests carried out under constant injection rate, the Linear Elastic Fracture Mechanics solution reported lower errors compared to the Quasi-static solution, with values of 3% and 3.8%, respectively. Moreover, a sensitivity analysis illustrated the influence of the radius of fluid penetration or crack radius and the tensile strength on the breakdown pressure, suggesting a need for a careful estimation of these values. Then, the calculation of breakdown pressure considering fluid infiltration in cylindrical samples under triaxial conditions is possible, although larger data sets are desirable to validate and derive better relations.

수정개별요소법에 의한 불연속 구조체의 파전달 거동 해석 (The Application of the Medified Distinct Element Method to Wave Propagation in Structures with Discontinuous Faces)

  • 김문겸;오금호;김우진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 봄 학술발표회 논문집
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    • pp.232-239
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    • 1997
  • The phenomenology of shock loading effects in brittle mass has been of interest to researchers and engineers. The shock loading as blasting causes strong stress waves in the structures. Discontinuous faces due to shock waves interrupt the tensile stress wave propagation and reflect the stress wave propagation. To predict the fracturing behavior of brittle mass, it is required for the numerical method that can analyze the colliding and slipping behavior of discontinuous faces and the wave propagation in the mass, simultaneously In this study, the wave propagation in the brittle materials is analyzed using the modified distinct element method to be able to predict the behavior of discontinuous structures. The behavior of an unsupported bar subjected to loading at the end is analyzed to verify the rigid body motion of a bar and the relative displacement in the bar. The colliding behavior of two bars is analyzed to investigate the propagation of stress waves in the bar. The fracturing behavior of a bar due to impact loading is analyzed to investigate the propagation of stress waves in the bar with and without the discontinuous faces. The applicability of the modified distinct element method to the wave propagation problems is investigated.

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Effect of Casting Speed on Microstructure and Mechanical Properties of Al-Mg-Si/Al Hybrid Material by Duo-Casting

  • Park, Sung Jin;Suh, Jun-Young;Lee, Hee-Kwon;Chang, Si Young
    • 한국재료학회지
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    • 제30권3호
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    • pp.111-116
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    • 2020
  • Two different casting speeds of 60 and 80mm/min are adopted to determine the effect of casting speed on the microstructure and mechanical properties of Al-Mg-Si/Al hybrid material prepared by duo-casting. The obtained hybrid material has a uniform and straight macro-interface between the pure Al side and the Al-Mg-Si alloy side at both casting speeds. When the casting speed is increased to 80mm/min, the size of primary α phases in Al-Mg-Si alloy decreases, without change of shape. Although the Al-Mg-Si alloy produced at higher casting speed of 80mm/min shows much higher ultimate tensile strength (UTS) and 0.2 % proof stress and lower elongation, along with higher bending strength compared to the case of the 60mm/min in casting speed, the tensile properties and bending strength of the hybrid material, which are similar to those of pure Al, are the same regardless of the increase of casting speed. Despite the different casting speeds, deformation and fracturing in hybrid materials are observed only on the pure Al side. This indicates that the macro-interface is well-bonded, allowing it to endure tensile and bending deformation in all hybrid materials.

Continuous relaxation spectrum for the numerical analysis of concrete creep

  • 지광습
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2004년도 춘계 학술발표회 제16권1호
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    • pp.466-471
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    • 2004
  • Efficient numerical finite element analysis of creeping concrete structures requires the use Kelvin or Maxwell chain model, which is most conveniently identified from a continuous retardation or relaxation spectrum, the spectrum in turn being determined from the given compliance or relaxation function. The method of doing that within the context of solidification theory for creep with aging was previously worked out by Bazant and Xi, but only for the case of a continuous retardation spectrum based on Kelvin chain. The present paper is motivated by the need to incorporate concrete creep into the recently published microplane model M4 for nonlinear triaxial behavior of concrete, including tensile fracturing and behavior under compression. In that context. the Maxwell chain is more effective than Kelvin chain. because of the kinematic constraint of the microplanes used in M4. Determination of the continuous relaxation spectrum for Maxwell chain. based on the solidification theory, is outlined and numerical examples are presented.

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Perforation optimization of hydraulic fracturing of oil and gas well

  • Zhu, Hai Yan;Deng, Jin Gen;Chen, Zi Jian;An, Feng Chen;Liu, Shu Jie;Peng, Cheng Yong;Wen, Min;Dong, Guang
    • Geomechanics and Engineering
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    • 제5권5호
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    • pp.463-483
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    • 2013
  • Considering the influences of fluid penetration, casing, excavation processes of wellbore and perforation tunnels, the seepage-deformation finite element model of oil and gas well coupled with perforating technique is established using the tensile strength failure criterion, in which the user-defined subroutine is developed to investigate the dynamic evolvement of the reservoir porosity and permeability. The results show that the increases of perforation angle and decreases of perforation density lead to a higher fracture initiation pressure, while the changes of the perforation diameter and length have no evident influences on the fracture initiation pressure. As for initiation location for the fracture in wellbore, it is on the wellbore face while considering the presence of the casing. By contrast, the fractures firstly initiate on the root of the tunnels without considering casing. Besides, the initial fracture position is also related with the perforation angle. The fracture initiation position is located in the point far away from the wellbore face, when the perforation angle is around $30^{\circ}$; however, when the perforation angle is increased to $45^{\circ}$, a plane fracture is initiated from the wellbore face in the maximum horizontal stress direction; no fractures was found around perforation tunnels, when the angel is close to $90^{\circ}$. The results have been successfully applied in an oilfield, with the error of only 1.1% comparing the fracture initiation pressure simulated with the one from on-site experiment.