Evaluation of the range of horizontal stresses in the earth's upper crust by using a collinear crack model

Vertical stresses in the earth's upper crust may be evaluated by the depth times the average unit weight of the overlying rock mass; however, the horizontal stress is difficult to obtain. Rock usually contains joints or cracks, and its fracture toughness is limited. If the horizontal stress acting on a cracked rock body exceeds a certain range, the crack will propagate and lead to rock fracture; and if a cracked rock is stable, the horizontal stress must be within a certain range. Therefore, from the stability condition of cracks, the range of horizontal stress can be evaluated. In this paper, a collinear crack model is employed to establish the cracked rock stability condition, and our theoretical results generally agree with the in-situ measurement results. The theoretical results can well explain the phenomenon that the ratio of horizontal stress to vertical stress near crust surface is scattered in a wide range, but in deep zone, it is scattered in a narrow range.     

Clarification of regional and local in situ stresses using the compact conical-ended borehole overcoring technique and numerical analysis

Abstract Stress measurement is performed to estimate the states of in situ rock stress at the Torigata open‐pit limestone mine in Japan using the compact conical‐ended borehole overcoring (CCBO) technique. A set of back and forward analyses are then carried out to evaluate the states of regional and local in situ rock stresses and the mine‐induced rock slope stability using a 3‐D finite element model. The maximum horizontal local in situ rock stress measured by the CCBO technique acts in the northeast–southwest direction. The horizontal regional tectonic stresses obtained by the back analysis are in good agreement with those of the horizontal local in situ rock stress measured by the CCBO technique. However, the horizontal regional tectonic stress is more compressive than the horizontal local in situ rock stress. This is because the horizontal regional stress due to gravity is not considered in the back‐analyzed horizontal regional tectonic stress, but it is included in the local in situ rock stress measured by the CCBO technique. The local stress obtained by the forward analysis, especially its horizontal components, is in good agreement with the horizontal local in situ rock stress measured by the CCBO technique, and the magnitude of the vertical normal stress increases more rapidly than those of the horizontal normal stresses with depth. As a result, the ratio of the horizontal normal stress to the vertical normal stress is largest at the nearest excavation level and decreases with depth. This means that the stress field within the mine‐induced rock slope is affected by the horizontal components of the local in situ rock stress.     

Central Europe: Active or residual tectonic stresses

The regional stress field in the Western Alps and their northern foreland has been investigated byin situ stress determinations. More than 600 strain relief measurements were made with resistance strain gages in boreholes carried out in mines, tunnels and quarries. The stresses calculated and data obtained from other papers were used to get a detailed idea of the stress conditions in Central Europe.The measurements confirm a continuous flux of compressive stress from the Alps to the northern foreland east of the Rhinegraben. The largest stresses are observed in the Central Alps, the lowest in the Rhinegraben rift system. The horizontal stresses exceed at nearly all places the vertical ones. Evidently the excess of horizontal stress is generated by active plate tectonics in the Alps. A tectonic model to explain the observed stress pattern is presented.     

唐山地震热力源的研究

本文从应力场角度分析了1976年唐山地震发生的可能力源。震前唐山地区除受有太平洋板块和印度板块的作用外,主要受有附近的热力源的作用。以渤中为中心的下辽河—渤中—黄骅上地幔隆起的高温区和沧东断裂水平温度梯度带的存在,使唐山地区位于热应力集中区。本文根据已有的观测结果,提出了将温度变化区简化为圆形、狭长矩形和椭圆形等三个力学模式,分别求得它们的解析解,并计算了它们的热应力场。结果表明:在增温区以内,正应力都是压应力,剪应力很小。在增温区以外,法向应力为压应力,周向应力为张应力,水平剪应力较大,但各个应力分量随着距离增加而衰减,只在增温区的边缘地带达到最大值,其数值有几百巴的数量级。唐山恰好位于该增温区的边缘地带,表明热力源是促使唐山地震发生的重要原因。 除唐山地震外,华北地区近年发生的几个大地震如邢台、河间、渤海、海城地震,以及1983年发生的菏泽地震,均位于热应力的高值地带,这些地震的孕育和发生显然也与热力源的作用有关。      

In situ stress measurements in a borehole close to the Nojima Fault

Abstract In situ stress was measured close to the fault associated with the 1995 Kobe Earthquake (Hyogo-ken Nanbu earthquake; January 1995; M 7.2) using the hydraulic fracturing method. The measurements were made approximately 2 years after the earthquake. The measured points were approximately 40 m from the fault plane at depths of about 1500 m. The maximum and the minimum horizontal compressive stresses were 45 MPa and 31 MPa, respectively. The maximum compressive stress and the maximum shear stress are very small in comparison with those of other seismically active areas. The azimuth of the maximum horizontal compressive stress was estimated from the observed azimuths of well bore breakouts at depths between 1400 m and 1600 m and was found to be N135° (clockwise). The maximum stress axis is perpendicular to the fault strike, N45°. These features are interpreted in terms of a small frictional coefficient of the fault. The shear stress on the fault was released and dropped almost to zero during the earthquake and it has not yet recovered. Zero shear stress on the fault plane resulted from the perpendicular orientation of one of the principal stress to the fault plane.     

Preliminary stress measurements in central California using the hydraulic fracturing technique

Use of the hydraulic fracturing technique for determiningin situ stress is reviewed, and stress measurements in wells near the towns of Livermore, San Ardo, and Menlo Park, California are described in detail. In the Livermore well, four measurements at depths between 110 and 155 m indicate that the least principal compressive stress is horizontal and increases from 1.62 to 2.66 MPa. The apparent direction of maximum compression is N 70° E (±40°). At the San Ardo site the least principal stress is that due to the overburden weight. At depths of 240.2 and 270.7 m the minimum and maximum horizontal stresses are estimated to be 11.4 and 22.5 MPa, and 12.0 (±1.1) and 15.8 (±3.3) MPa, respectively. From an impression of the fracture at 240.2 m, the direction of maximum compression appears to be about N 15° E. The rock in the Menlo Park well is too highly fractured to yield a reliable measurement of the horizontal stresses. The data indicate, however, that the least principal stress is vertical (due to the overburden weight) to a depth of 250 m.     

Horizontal stresses in the mantle and in the moving continent for the model of two-dimensional convection with varying viscosity

Numerical experiments on studying the spatial fields and evolution of viscous overlithostatic horizontal stresses and pressure in the mantle and in the moving continent are carried out. The continent moves consistently with time-dependent forces, which act from the viscous mantle. By introducing the varying viscosity, we gain the possibility for taking into account the oceanic lithosphere and the difference between the viscosity of the upper and the lower mantle in the context of a purely viscous model. The typical overlithostatic horizontal stresses in the main part of the mantle are ±(7–9) MPa (70–90 bar); in the highly viscous regions and, particularly, in the subduction zones they are at least three times larger. The descending mantle flows in the depth interval from approximately 50 km to about 300 km are more sharply pronounced in the pressure field than in the field of horizontal stresses. At the considered stages of motion and in different parts, the continent is characterized by the following typical values of stresses: the overlithostatic pressure ranges from ?5 to +15 MPa; the horizontal overlithostatic tensile stress amounts up to ?4MPa (?40 bar); and the compressive stress in case of the overriding of the subduction zone attains +35 MPa (350 bar).     

Inversion of breakout data from inclined bore-holes for stress state of the upper crust in Jizhong depression

The forward and inverse problems of studying crustal stress state from breakout data of inclined boreholes are concisely stated. Direction of the maximum horizontal principal stress (compressive) and relative magnitudes of the horizontal stresses to the vertical stress in the upper crust in two regions of the Jizhong depression, the North of China, are obtained by analyzing the breakout data of 6 inclined wells. To get stable results in the analysis we searched for the unknown parameters both forwardly and inversely. The results show that the maximum azimuths of the horizontal principal compressive stresses in the central and southern part of the Jizhong depression are N86°E and N77°E, respectively, while the relative magnitudes of the three principal stresses in the upper crust (about 1000–4000 m) of the depression are variable. In the central part of the Jizhong depression we have foundS _H :S _V :S _h =1.38:1.00:0.57, whereS _H ,S _V andS _h are the maximum horizontal, vertical and minimum horizontal stress, respectively. This indicates that the present stress regime in this area is of strike-slip faulting type. In the southern part of the depression we have obtainedS _H :S _V :S _h =0.80:1.00:0.62, indicating a normal faulting stress regime in the shallow part of the crust.     

山西煤矿矿区井下地应力场分布特征研究

采用煤矿井下专用的小孔径水压致裂地应力测量装置,在山西省的晋城、潞安、汾西、华晋、阳泉、平朔、大同等矿区,完成了160个测点的地应力测量,测点地质条件涵盖了山西省煤矿大部分条件.基于实测数据,分析了地应力与测点埋深的关系,不同深度条件下煤矿矿区井下地应力状态;绘制出山西省煤矿矿区井下地应力分布图,并与震源机制解的分析结果进行了比较,得出山西省煤矿矿区井下地应力场分布特征与变化规律.煤矿井下水平应力总体上随着埋深增加而增大,但由于各矿区地质条件差异较大,导致地应力测试数据离散性也较大;埋深小于250 m的岩层应力状态主要为σ_H>σ_h>σ_V型,埋深处于250~500 m的岩层应力状态以σ_H>σ_V>σ_h型为主,埋深较大的矿区主要为σ_V>σ_H>σ_h型;最大水平主应力与垂直主应力的比值绝大部分集中在0.5~2.0之间,而且随着埋深增加,侧压比呈现减小的趋势,并向1附近集中;最大水平主应力与最小水平主应力的比值主要集中在1.5～2.0之间;平均水平主应力与垂直主应力的比值大多处于0.5～1.5,尤以0.5～1.0之间最多;山西省煤矿矿区从北到南,最大水平主应力方向发生了较大变化.北部最大水平主应力方向为NE,往南发生偏转到NNW;靠东部与西部偏向NW;靠东南部出现了多变的方向.井下实测数据与震源机制解相比在部分区域一致性较好,而在另一些区域存在明显的差异.特别是在受较大地质构造影响的区域,水平主应力方向往往发生明显的扭转和变化.     

On the state of stress in the near-surface of the earth's crust

Five models for near-surface crustal stresses induced by gravity and horizontal deformation and the influence of rock property contrasts, rock strength, and stress relaxation on these stresses are presented. Three of the models—the lateral constraint model, the model for crustal stresses caused by horizontal deformation, and the model for the effects of anisotropy—are linearly elastic. The other two models assume that crustal rocks are brittle or viscoelastic in order to account for the effects of rock strength and time on near-surface stresses. It is shown that the lateral constraint model is simply a special case of the combined gravity-and deformation-induced stress field when horizontal strains vanish and that the inclusion of the effect of rock anisotropy in the solution for crustal stresses caused by gravity and horizontal deformation broadens the range for predicted stresses. It is also shown that when stress levels in the crust reach the limits of brittle rock strength, these stresses become independent of strain rates and that stress relaxation in ductile crustal rocks subject to constant horizontal strain rates causes horizontal stresses to become independent of time in the long term.     

Inversion of breakout data from inclined boreholes for stress state of the upper crust in Jizhong depression

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水平应力作用下套管井不同胶结状况导波的声弹效应

油田的套管完井常伴有异常地应力的作用,对于套管井,井孔-套管-水泥环-地层组合的系统使井周的应力集中更为复杂.为认识地应力作用下不同胶结状态的套管井导波声弹效应,本文基于非线性声学理论,实现了受应力作用不同胶结状态套管井井周应力和径向横波速度计算与分析;采用摄动求解推导了套管井导波的声弹性方程,模拟并分析由应力引起不同胶结状态套管井斯通利波、伪瑞利波、弯曲波相速度的变化.研究结果表明:不同胶结状态会改变井周的应力分布,当界面出现滑移时井周地层中的应力集中有所增强,从而影响导波的声弹效应.本文的研究结果为地应力作用的套管井的声场特性提供认识和理论依据.     

从水压致裂结果讨论华北地区构造应力场

本文分析讨论了华北地区的应力场,认为本区深部水平应力东高西低。平原区各测点的水平主应力值是深度的线性函数,鄂尔多斯隆起区的水平主应力值随深度的增加而增大。平原区500米深度以内至今仍表现为引张性质。 京津唐渤地区,深部最大水平主压应力方向为北东东向或近东西向。30米深度以内,应力方向比较分散,30米以下,随深度增加,主应力方向有旋转趋势。 应力改变触发地震的机制,主要是由于最小水平主应力的减小,或两个水平主应力同时减小     

欧亚地震带现代构造应力场及其分区特征

利用美国哈佛大学矩心矩张量目录中的2818个地震的震源机制解资料,分析了欧亚地震带及其5个分区现代构造应力场的基本特征,给出了5个分区的震源机制主压应力方向分布图。结果表明:①欧亚地震带以逆断型和走滑型断层活动为主;②地中海地震区以走滑断层活动为主,主压应力方向为SSW向;③伊朗—阿富汗—巴基斯坦地震区以逆断型断层活动为主,主压应力优势方向为NNE—NS向;④喜马拉雅地震以逆断型为主,主压应力优势方向为NS和NE向;⑤川—滇—缅地震区以走滑断层活动为主,主应力场方向为NNE向;⑥印度尼西亚地震区以逆断型断层活动为主,主压应力优势方向为NE—SSW向。各分区的主压应力方向明显受其所在区域板块运动的影响,由此推测板块运动可能是产生欧亚地震带构造应力的主要力源。     

Study on in-situ stress measurement around coastal marginal land in Fujian

Introduction The southeast coastal margin of Chinese mainland is important to understand the mutual movement, matter exchange and energy transfer between ocean and land lithospheres, as well as their effects. The coastal area in Fujian Province is advanced in economy development but it has frequent earthquakes, or even strong earthquakes. Therefore, the current study on in-situ stress state measurement is of great significance for studying continental dynamics, marginal sea dy- namics, seismo…     

Syntheses of the regional stress fields of the Japanese islands

The principal stresses in northern Honshu and in central-southwest Japan are synthesized on the basis of the ridge push, slab pull and across-arc variation of differential forces due to crust/plate structural variation. Assuming a more compressive north–south horizontal stress in central Japan-northern Honshu than that of southwest Japan, the calculated principal stress profiles explain the observed stress fields in these areas: namely, a strike–slip fault type for southwest-central Japan and a reverse fault type for northern Honshu, both having east–west σ_Hmax. Kyushu is characterized by the gradient of horizontal stresses both in the east–west and north–south directions, which cannot be explained by simple plate interactions or by crust/plate structural variation. Combined with other lines of evidence for existence of mantle upwelling in the East China Sea west of Kyushu, it is proposed that the stress gradient is produced by the viscous drag exerted by the flow spread laterally from the upwelling plume. The eastward movement of Kyushu and southwest Japan relative to Eurasia revealed by the recent Global Positioning System measurements conducted by the Geographical Survey Institute of Japan would be partly explained by this basal drag.     

Effective stresses and shear failure pressure from in situ Biot's coefficient,Hejre Field,North Sea

We propose a combination of Biot's equations for effective stress and the expression for shear failure in a rock to obtain an expression for minimum pore pressure in a stable vertical well bore. We show that a Biot's coefficient calculated from logging data in the Hejre Field, North Sea, is significantly different from 1. The log‐derived Biot's coefficient is above 0.8 in the Shetland Chalk Group and in the Tyne Group, and 0.6–0.8 in the Heno Sandstone Formation. We show that the effective vertical and horizontal stresses obtained using the log‐derived Biot's coefficient result in a drilling window for a vertical well larger than if approximating Biot's coefficient by 1. The estimation of the Biot's coefficient is straightforward in formations with a stiff frame, whereas in formations such as shales, caution has to be taken. We discuss the consequence of assumptions made on the mineral composition of shales as unphysical results could be obtained when choosing inappropriate mineral moduli.     

2020年云南巧家M5.0地震震源机制解与震源区应力场研究

基于国家测震台网数据中心提供的波形资料,采用gCAP方法反演2020年5月18日云南巧家M5.0地震及研究区域51次地震震源机制解,并收集研究区域震源机制解50个。采用网格搜索法反演区域构造应力场,并对研究区域采用不同划分进行应力场反演。获得以下结论：(1)主震震源机制解节面Ⅰ的走向、倾角和滑动角分别为175°、 67°和-19°,节面Ⅱ的走向、倾角和滑动角分别为273°、 73°和-156°,矩震级为4.97,矩心深度为8.8 km。表明主震属于兼具逆冲分量的走滑型地震;(2)震后区域应力场主压应力轴方位为NWW,倾角接近水平,主张应力轴方位为NNE,倾角接近水平,属于走滑型应力状态,与周边地质构造运动状态相吻合;(3)对研究区域采用不同划分所得应力场结果相差不大,表明该区域应力场比较稳定,受深大断裂带和震源机制解类型影响较小。     

逆断层错动对隧道工程影响的数值模拟

由于断层错动导致的围岩永久变形会对隧道结构产生危害,为研究隧道在逆断层错动下的变形与受力特征,本文以成兰铁路穿越北川—映秀断裂的跃龙门隧道工程为研究对象,利用Abaqus软件建立穿越逆断层隧道结构的数值模型,选择参数和设定边界条件,模拟分析在逆断层错动作用下隧道衬砌结构的受力与变形情况.结果表明:逆断层错动引起隧道衬砌...     

2015年尼泊尔强震序列对中国大陆的应力影响

基于2015年尼泊尔地震序列的破裂模型及均匀弹性半空间模型,计算了该地震序列传递到中国西藏境内发生在定日县地震和聂拉木县地震的应力.2015年尼泊尔地震序列导致定日县地震和聂拉木地震节面和滑动方向的库仑应力增加(2~3)×103 Pa和(2.4~3.1)×105 Pa,表明这两个地震受到尼泊尔地震序列的触发.其次,我们计算了2015年尼泊尔地震序列在中国大陆及其附近主要活动断层上产生的库仑应力变化.喜马拉雅主山前逆冲断裂和青藏高原内部的拉张正断层上的库仑应力有较大的增加,而青藏高原的走滑断裂,如阿尔金断裂、东昆仑断裂、玉树玛曲断裂、班公错断裂西部、嘉黎断裂的库仑应力有较大的降低.天山南北两侧的断裂库仑应力降低.而华北及东北、华南地区的库仑应力变化几乎可以忽略不计.最后,计算了该地震序列造成的水平应力变化.水平面应力在2015年尼泊尔地震序列北向(青藏高原大部和新疆区域)增加(拉张),而在地震序列东侧的西藏南部和川滇地区南部降低(压缩),在华北和东北仅有少许增加,在华南地区有少许降低.在中国西部,主压应力表现为以2015年地震序列为圆心的向外辐射状,而主张应力方向与同心圆切线方向大体一致.水平主压应力方向在东北地区为北东向,在华北地区为北东东向,在华南地区为南东东向.这种模式与现今构造应力场方向相似,表现了2015尼泊尔地震序列所代表的印度板块和欧亚板块的碰撞是中国大陆构造变形的主要动力来源.