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将赌博系统的随机变换概念推广到有限优重非齐次马氏链情形,采用鞅方法研究了有限m重非齐次马氏链函数的强极限定理,作为推论得到有限m重非齐次马氏链随机变换的若干强极限定理。  相似文献   
3.
The nucleation process of stick-slip instability was analyzed based on the experimental measurements of strain and fault slip on homogeneous and non-homogeneous faults. The results show that the nucleation process of stick-slip on the homogeneous fault is of weak slip-weakening behavior under constant loading point velocity. The existence of a short "weak segment" on the fault makes slip-weakening phenomenon in nucleation process more obvious, while the existence of a long "weak segment" on the fault makes the nucleation process changed. The nucleation is characterized by accelerating slip in a local region and rapid increase of shear stress along the fault in this case, which is more coincident with the rate and state friction law. During the period when fault is locked, increasing of shear stress causes lateral elastic dilation near the fault, and the rebound of the dilation at the time of instability causes an instantaneous increase of normal stress in the fault plane, which is an important factor making fault be rapidly locked and its strength recovered.  相似文献   
4.
指数函数剪切模量土层的地震随机反应   总被引:3,自引:0,他引:3  
王春玲  黄义 《岩土力学》2003,24(6):892-895
基于改进的一维剪切梁模型[1],对剪切模量为其深度的某一指数函数的成层非均质土层,推导了确定自振频率、振型函数、参与系数及稳态动力响应的封闭型解析表达式。首次证明了这种土层振型函数的正交性,利用随机振动理论,并基于基岩输入地震加速度的功率谱密度函数:白噪声谱和过滤白噪声谱,研究了该土层对地震的随机动力响应问题。计算表明:(1)在基岩输入地震加速度的功率谱为白噪声谱的情况下,土层的最大期望反应,均有别于过滤白噪声谱时的相应值。(2)平稳输入与输出过高地估计了土层的随机响应。  相似文献   
5.
随机固-热耦合模型与岩石热破裂数值试验研究   总被引:4,自引:2,他引:2  
康健  赵明鹏  梁冰 《岩土力学》2005,26(1):135-139
1. 大连轻工业学院 信息科学与工程学院,大连 116034;2. 辽宁工程技术大学 力学与工程科学系,辽宁 阜新 123000  相似文献   
6.
小热泉子铜矿区地震方法试验研究   总被引:3,自引:1,他引:2  
地震方法在能源勘探中是一种不可替代的勘查方法,由于金属矿区地质构造的复杂性,金属矿勘查中的地震方法技术还处于试验应用研究阶段.由于地震方法自身的特点,该方法的多解性和分辨地下目标物的精度优于其他地面物探方法,但因金属矿区的地质构造十分复杂,且所研究的地层难以满足油气地震勘探所要求的层状介质,因此常规的地震方法技术在金属矿地区的应用受到了限制.根据金属矿地震资料的特点和拟解决的地质问题,研究一种适合金属矿区开展地震勘查的方法技术是十分需要的.文章结合在新疆小热泉子铜矿区地震方法的试验研究结果,讨论了地震方法技术在金属矿勘查中的作用和效果.  相似文献   
7.
The probabilistic analysis of volcanic eruption time series is an essential step for the assessment of volcanic hazard and risk. Such series describe complex processes involving different types of eruptions over different time scales. A statistical method linking geological and historical eruption time series is proposed for calculating the probabilities of future eruptions. The first step of the analysis is to characterize the eruptions by their magnitudes. As is the case in most natural phenomena, lower magnitude events are more frequent, and the behavior of the eruption series may be biased by such events. On the other hand, eruptive series are commonly studied using conventional statistics and treated as homogeneous Poisson processes. However, time-dependent series, or sequences including rare or extreme events, represented by very few data of large eruptions require special methods of analysis, such as the extreme-value theory applied to non-homogeneous Poisson processes. Here we propose a general methodology for analyzing such processes attempting to obtain better estimates of the volcanic hazard. This is done in three steps: Firstly, the historical eruptive series is complemented with the available geological eruption data. The linking of these series is done assuming an inverse relationship between the eruption magnitudes and the occurrence rate of each magnitude class. Secondly, we perform a Weibull analysis of the distribution of repose time between successive eruptions. Thirdly, the linked eruption series are analyzed as a non-homogeneous Poisson process with a generalized Pareto distribution as intensity function. As an application, the method is tested on the eruption series of five active polygenetic Mexican volcanoes: Colima, Citlaltépetl, Nevado de Toluca, Popocatépetl and El Chichón, to obtain hazard estimates.  相似文献   
8.
A numerical technique is presented for the analysis of surface displacements of a non-homogeneous elastic half-space subjected to vertical and/or horizontal surface loads uniformly distributed over an arbitrarily shaped area. The non-homogeneity considered is a particular form of power variation of Young's modulus with depth. Since the exponent which determines the degree of non-homogeneity may vary from zero to unity, both the homogeneous half-space and the Gibson soil may be included as limiting cases in a single numerical scheme. In order to account for the arbitrary shape of the loading, the boundary of the loaded area is linearized piecemeal. This enables the modeling of any load pattern according to the desired degree of accuracy. Special attention is focused on the integration scheme, since the singularity associated with the Green's function becomes progressively more pronounced the greater the non-homogeneity parameter gets. The performance of the numerical procedure is studied using analytical solutions for rectangular shaped areas. Further comparisons with well-known solutions based on integral transform techniques for a uniformly distributed load acting on a circular area of the non-homogeneous soil mass show excellent agreement as well. © 1997 John Wiley & Sons, Ltd.  相似文献   
9.
In this paper, time-harmonic axisymmetric vibration of an incompressible viscoelastic half-space having shear modulus linearly increasing with depth is studied. The half-space is subjected to a vertical time-harmonic load on its surface. Numerical results concerning surface displacements due to a point force are given for the case of non-zero shear modulus at the surface. Hankel's transforms of the solutions have an infinite number of poles lying on the real axis of the complex plane in the non-dissipative case. A suitable contour of integration is used to avoid all the singularities. Calculations are performed for the dynamic as well as for the static case. In addition, vertical vibrations of a rigid disk on the considered half-space are investigated, and the influence of the non-homogeneity on the dynamic stiffness of the loaded area is demonstrated.  相似文献   
10.
研究了隐非齐次马尔可夫模型的混合性,首先给出并证明了非齐次马尔可夫链满足混合性的充分条件,然后将所得结果推广到了隐非齐次马尔可夫模型上,对进一步研究隐马尔可大模型提供了理论基础,且能为实际问题如弱相依随机变量的建模、发音过程、神经生理学和生物遗传学等领域的研究提供理论依据.  相似文献   
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