Early development of strike-slip faulting: palaeoseismic study along the Petersen Mountain fault,northern Walker Lane,Nevada

Characterising youthful strike-slip fault systems within transtensional regimes is often complicated by the presence of tectonic geomorphic features produced by normal faulting associated with oblique extension. The Petersen Mountain fault in the northern Walker Lane tectonic province exhibits evidence of both normal and strike-slip faulting. We present the results of geologic and geomorphic mapping, and palaeoseismic trenching that characterise the fault's style and sense of deformation. The fault consists of two major traces. The western trace displaces colluvial, landslide, and middle to late Pleistocene alluvial fans and is associated with aligned range front saddles, linear drainages, and oversteepened range front slopes. The eastern trace is associated with a low linear bedrock ridge, a narrow graben, right deflected stream channels, and scarps in late Pleistocene alluvial fan deposits. A trench on the eastern trace of the fault exposed a clear juxtaposition of disintegrated granodiorite bedrock against sand and boulder alluvial fan deposits across a steeply east-dipping fault. The stratigraphic evidence supports the occurrence of at least one late Pleistocene earthquake with a component of lateral displacement. As such, the Petersen Mountain fault accommodates part of the ~7 mm/yr of dextral shear distributed across the northern Walker Lane.     

随机连续模型分析裂隙岩体耦合行为

利用能够反映岩体水力性质空间变异特性的随机连续模型对隧洞开挖过程中的裂隙岩体渗流-应力耦合过程进行了数值分析。随机渗透系数场通过顺序指示模拟方法生成。顺序指示法是一种非参数地质统计学技术,他允许输入任何形式的渗透系数概率分布而不需要对分布做任何假设。由随机模拟生成的渗透系数场被投影到有限元计算网格中进行耦合分析。力学响应使用基于连续介质的节理本构模型来反映岩体中软弱面的影响。结果表明,随机连续模型能够较好地预测裂隙岩体的稳定入渗率,水力性质的空间变异性对裂隙介质的耦合过程起着重要作用。在不排水条件下,隧洞每次开挖开始时,由于岩石应力重分布,孔隙水受到扰动,短时间内不能流动平衡,因此孔压会迅速上升,这对于围岩稳定是不利的。     

抽水地面沉降预计的随机介质模型

本文视抽水引起的地面沉降为一随机过程,应用随机介质理论和土力学基本原理,建立了随机介质模型,对抽水地面沉降及变形分布进行了分析预测,计算实例表明,该模型是有铲的。     

Crack-seal mechanism in a limestone: A factor of deformation in strike-slip faulting

A repeated crack-seal mechanism may play a major part in the deformation process in a shear zone. This paper develops a microscopic approach to the association of shear planes and tension cracks between two en échelon faults. The simultaneous development of these fractures yields a very specific pattern.The structure, discovered in a Cretaceous limestone of the Arc basin (Bouches du Rhône, France), is located between two left-stepping sinistral strike-slip faults. The horizontal displacement does not exceed a few centimeters: therefore the structure may be representative of the early stage of deformation within a brittle shear zone. Each strain increment includes both shearing and tensile fracturing. Inhomogeneous conditions of friction seem to be prevailing.     

Continuous-time Markov processes as a stochastic model for sedimentation

Markov processes with a continuous-time parameter are more satisfactory for describing sedimentation than discrete-time Markov chains because they treat sedimentation as a natural process that happens continuously (i.e., which is unbroken in time). They also avoid certain technicalities that arise in discrete time—namely, the choice of a time unit. Finally, they yield not only the same information as a discrete-time analysis, but also give information about the distribution of the thicknesses of the lithologies.     

塔西南齐姆根楔形构造与走滑构造叠加两阶段演化模式

塔里木盆地西南缘逆冲带由西部近东西方向的喀什逆冲构造带和东部近东西方向柯克亚—和田逆冲构造带以及中间喀什—叶城走滑断层系组成,而北西—南东走向的喀什—叶城走滑断层带及其东侧齐姆根构造则为呈北东方向凸出的弧形构造。齐姆根弧形构造在地表地质和地震剖面均表现为向盆地方向倾斜的单斜形态。而且在塔西南地区,该弧形构造上从白垩系到新近系地层厚度明显大于东西两侧逆冲带同时代地层厚度,表现为异常增厚的特征。为了探讨齐姆根弧形构造特征及地层厚度异常增厚等原因,依据前人的地表地质填图成果,以及塔里木盆地西南缘齐姆根地区及邻区完成的二维地震资料及钻井资料成果,对该区地震剖面资料进行详细的构造解释,提出齐姆根弧形构造单斜之下存在3个隐伏逆冲构造楔形体,即棋盘楔形构造、齐姆根楔形构造和英吉沙楔形构造。地震剖面解释的生长地层指出棋盘楔形构造形成最早,为上新世阿图什组沉积时期;其次发育齐姆根楔形构造,为更新世西域组底部沉积时期;最晚发育英吉沙楔形构造,时间大约在更新世西域组中?上段沉积时期,据此认为齐姆根中深层逆冲构造位移扩展方式为前展式。而且地震剖面解释上也揭示了白垩系到新近系地层厚度异常增厚发育的构造部位及发育规律,说明地层异常厚度变化受区域构造控制,其时间大约为更新世西域组沉积时期。该时期对应于喀什—叶城走滑断层系活动时期,据此我们推测由于走滑断层系区域侧向挤压作用以及东西两侧发育的逆冲构造带起到了限制阻挡作用,三者联合之下造成了齐姆根单斜上含软弱层的各时代地层被挤压屈曲形成弧形形态构造,在弧形构造发育期间岩层之间层间滑脱加厚可导致地层厚度异常增厚。综合前面认识,最后提出齐姆根弧形构造为叠加构造发育地区,经历了早、晚两期构造叠加变形：早期为逆冲楔形构造发育阶段,晚期为走滑作用改造及弧形构造形成阶段。而且沿着齐姆根弧形构造走向,弧形构造北西侧翼部单斜发生逆时针旋转,而弧形构造南东侧翼部单斜发生顺时针旋转,并得到已有古地磁数据支持,属于旋转弧构造类型。该认识支持了帕米尔东侧局部弧形构造是在早期发育的逆冲推覆构造基础上,逐渐叠加有晚期发育的左旋走滑断层而形成弧形构造。

     

A Generalized Backward Euler algorithm for the numerical integration of a viscous breakage model

This paper discusses the formulation and the numerical performance of a fully implicit algorithm used to integrate a rate-dependent model defined within a breakage mechanics framework. For this purpose, a Generalized Backward Euler (GBE) algorithm has been implemented according to two different linearization strategies: The former is derived by a direct linearization of the constitutive equations, while the latter introduces rate effects through a consistency parameter. The accuracy and efficiency of the GBE algorithm have been investigated by (1) performing material point analyses and (2) solving initial boundary value problems. In both cases, the overall performance of the underlying algorithm is inspected for a range of loading rates, thus simulating comminution from slow to fast dynamic problems. As the viscous response of the breakage model can be recast through a viscous nucleus function, the presented algorithm can be considered as a general framework to integrate constitutive equations relying on the overstress approach typical of Perzyna-like viscoplastic models.     

Digital simulation of multivariate two- and three-dimensional stochastic processes with a spectral turning bands method

The space domain version of the turning bands method can simulate multidimensional stochastic processes (random fields) having particular forms of covariance functions. To alleviate this limitation a spectral representation of the turning bands method in the two-dimensional case has shown that the spectral approach allows simulation of isotropic two-dimensional processes having any covariance or spectral density function. The present paper extends the spectral turning bands method (STBM) even further for simulation of much more general classes of multidimensional stochastic processes. Particular extensions include: (i) simulation of three-dimensional processes using STBM, (ii) simulation of anisotropic two- or three-dimensional stochastic processes, (iii) simulation of multivariate stochastic processes, and (iv) simulation of spatial averaged (integrated) processes. The turning bands method transforms the multidimensional simulation problem into a sum of a series of one-dimensional simulations. Explicit and simple expressions relating the cross-spectral density functions of the one-dimensional processes to the cross-spectral density function of the multidimensional process are derived. Using such expressions the one-dimensional processes can be simulated using a simple one-dimensional spectral method. Examples illustrating that the spectral turning bands method preserves the theoretical statistics are presented. The spectral turning bands method is inexpensive in terms of computer time compared to other multidimensional simulation methods. In fact, the cost of the turning bands method grows as the square root or the cubic root of the number of points simulated in the discretized random field, in the two- or three-dimensional case, respectively, whereas the cost of other multidimensional methods grows linearly with the number of simulated points. The spectral turning bands method currently is being used in hydrologic applications. This method is also applicable to other fields where multidimensional simulations are needed, e.g., mining, oil reservoir modeling, geophysics, remote sensing, etc.     

随机扩散水质模型研究

考虑湖泊中影响总磷沉积过程的众多生态因子的变化过程,假定湖泊中总磷沉积过程由标准布朗运动驱动,建立了一个总磷浓度的随机扩散方程,推广确定性富营养化Vollenweider水质模型为随机扩散模型,获得了总磷浓度过程的解析解,进而求出了总磷浓度过程的均值和方差,指出了一种依据沉积系数调控湖泊中总磷浓度的方法。模型被应用于巢湖总磷浓度过程的模拟。     

结构性土二元介质本构模型及破损率影响因素的研究

岩土类材料是非均质的具有微缺陷的天然材料,岩土破损力学将岩土材料抽象成由结构块和结构带组成的非均质二元结构体。破损率演化方程反映了岩土材料在外部荷载作用下,结构块向结构带动态变化程度的过程。从细观尺度上分析结构性土体变形、破坏过程发展机制,揭示土体在荷载作用下结构块向结构带转化的过程。最后,针对杨陵黄土,通过三轴剪切试验,研究围压、含水率对破损率演化规律的影响。研究结果表明,单参数模型的破损率与围压和含水率没有关系,使从实验上证明参数模型的破损率是大主应变的函数。     

Ideal granite and its properties. I. The stochastic model

Investigation of granitic rocks in the search for hidden ore deposits, restoration of their history, and understanding their special properties requires comparison of intrusive bodies. Comparisons are best made to some standard. The conception of an ideal magmatic granite as a standard is introduced in this paper. Investigation indicates that sequences of quartz grains potassium feldspars, and plagioclases of an ideal magmatic granite have definite mathematical properties.     

A stochastic model of fractional crystallization and its application to the Japanese geosynclinal basalt

A stochastic model of the magmatic differentiation by fractional crystallization is given. The probability distribution of the quantity of crystallized solid removed from silicate melt was assumed to be binomial at any stage of the differentiation. According to this model, when concentrations of an element are transformed into their powers by using the reciprocal of the difference between bulk-partition coefficient for the element and unity as an exponent, the resultant frequency-distribution pattern becomes absolutely normal. The patterns of concentrations, however, cannot be expressed by a particular type of function but are variable according to the values of bulk-partition coefficients. Frequency distributions of element concentrations were computed under selected conditions on the basis of the model. The result shows that the skewed pattern often observed in frequency distributions of minor-element concentrations is explained by this fractional crystallization process. The frequency distributions of Ni and Cr concentrations in the geosynclinal basalt of southwestern Japan were examined in terms of this model. It was concluded that the model can be applied to the formation of the basalt concerning at least these two elements.     

基于连续介质模型的隧道衬砌结构可靠性研究

基于连续介质力学模型,提出了一种简单易行的可靠性分析方法,该方法能利用现行通用的有限元程序,能得到显式的功能函数,但又不同于响应面法。以公路隧道圆形隧洞的开挖支护为例,采用此方法将围岩参数c (黏聚力)、E,? 和二次衬砌厚度D作为随机变量,采用有限元程序得到单一变量变化下的衬砌轴应力值,进而拟合出衬砌轴应力关于单一随机变量的关系式,并通过多元线性或非线性回归得到衬砌轴应力关于所有随机变量的显示表达式,再对圆形隧洞的衬砌结构进行了敏感性和可靠性分析,得到了一些有意义的结论。     

Integration of a continuum damage model for shale with the cutting plane algorithm

The stability of integration is essential to numerical simulations especially when solving nonlinear problems. In this work, a continuum damage mechanics model proposed by the first author is implemented with an integration method named cutting plane algorithm (CPA) to improve the robustness of the simulation. This integration method is one type of return mapping algorithm that bypasses the need for computing the gradients. We compare the current integration method with the previous direct method, and the result shows that the cutting plane algorithm exhibits excellent performance under large loading rate conditions. To enhance accuracy of the new method, a control procedure is utilized in the implementation of the algorithm based on error analysis. Thereafter, the theory of poromechanics is utilized with the damage model to account for the effects of fluid diffusion. Laboratory tests simulated with finite element method illustrate distinct behaviors of shale with different loading rates and indicate the development of microcrack propagation under triaxial compression. Copyright © 2016 John Wiley & Sons, Ltd.     

Variability in Early Amazonian Tharsis stress state based on wrinkle ridges and strike-slip faulting

We present evidence for a decrease in the magnitude of Tharsis-circumferential compressive stress during the Late Hesperian to the Middle Amazonian based on chronologic changes in the predominant style of faulting in southern Amazonis Planitia. Using high-resolution MOLA topography, we identify a population of strike-slip faults that exhibit Middle Amazonian-aged displacements of regional chrono-stratigraphic units. These strike-slip faults are adjacent to an older population of previously documented Late Hesperian-aged thrust faults (wrinkle ridges). Along-strike orientations of these thrust and strike-slip faults reveal the Tharsis-radial stress to be the area's most compressive remote principal stress and that this stress orientation and magnitude persisted throughout the Late Hesperian to the Middle Amazonian. We show that the change in the predominant style of faulting from thrust faulting to strike-slip faulting during this time requires a decrease of the Tharsis-circumferential compressive stress to a magnitude less than lithostatic load, with negligible change in stress orientation.     

一种新型粗糙节理面随机强度模型及其应用

天然岩体在长期地质作用下会生成各种节理裂隙等不连续面,而地下工程结构的稳定性一般取决于这些不连续面的强度。在众多因素中,表面形态对岩石节理面剪切强度具有决定性影响。为了系统研究岩石节理面剪切强度的确定方法,把岩石节理面概化为一系列高度不同的微长方体凸起组成的粗糙表面结构,且微长方体凸起有剪胀破坏和非剪胀破坏两种模式。综合微长方体凸起破坏规律,应用概率密度函数描述节理面表面起伏分布的影响,建立了粗糙节理面随机强度模型,推导了节理面剪切强度理论公式,提出了节理面强度的随机评价方法。基于随机强度模型和评价方法编制Matlab计算程序计算自然粗糙节理面的剪切强度,并将计算结果与试验结果进行比较分析。研究表明:粗糙节理面随机强度模型综合了粗糙节理面表面形态和法向应力对节理剪切强度的影响机制,理论计算值与试验数据吻合良好,可以较好的评价粗糙节理的峰值剪切强度和残余剪切强度。该随机模型可作为进一步深入研究的重要基础,分析结构面的连续剪切过程,建立更完善的节理面强度模型。     

Equations for stress and displacement fields around pressurized elliptical holes in elastic solids

A mechanical model based upon elasticity theory for the deformation around a pressurized elliptical hole in an homogeneous, isotropic solid has found application in many areas of engineering, rock mechanics, and structural geology. The explicit equations for stress and displacement around such a hole are given. An apl computer program for calculating these stresses and displacements also is presented. These equations and this program should ease future usage of this model by engineers and geologists.     

关于岩体结构力学基本观点探讨试论孙广忠教授的岩体力学道路

本文着重探讨了孙广忠教授关于岩体结构力学的基本观点, 即岩体、岩体的结构与赋存环境, 岩体结构力学效应, 岩体结构控制论及工程地质-岩体力学-地质工程三位一体的观点等。纵观孙广忠教授的论著, 他走的一条立足地质、以岩体结构力学效应为中心, 紧密结合地质工程的岩体力学研究道路。     

Aging and strain softening model for episodic faulting

Episodic slip on shallow crustal faults can be qualitatively explained by postulating a fault constitutive law that is the superposition of two limiting material responses: (1) strain softening after peak stress during large strain rates, and (2) strength (peak stress) recovery during aging at small strain rates. A single law permits a variety of seismic and aseismic phenomena to occur over a range of space and time scales. Specific cases are determined by the spatial variation of material constants, recent deformation history, crustal rigidity, and remote forcing.