内含裂隙角的恐龙化石轴向受压数值试验及裂纹扩展机理研究

面临众多古生物化石遭受风化破坏的现实,恐龙化石保护是一项世界性难题。化石的风化原因多种多样,其中化石内部裂隙是导致恐龙化石风化、破坏的重要因素。该文以岩石断裂力学为理论依据,模拟分析内含裂隙的恐龙化石在压力作用下的破坏情况。通过数值模拟的方法,进行了内含裂隙恐龙化石数值压缩试验,并对内含裂隙的恐龙化石裂纹扩展机理进行了研究。研究结果表明,随着裂隙角度增大,开裂角逐渐减小,裂隙处特别是两端应力集中,其他部位应力较低、分布均匀;裂纹扩展是从裂纹尖端起裂,最终裂纹扩展到边缘。此研究结果为揭示恐龙化石风化机理和开展保护提供了基础参考资料。     

起伏地表弹性波传播的间断Galerkin有限元数值模拟方法

间断Galerkin有限元法（DG-FEM）作为一种有效的高阶有限元法受到了国内外学者的广泛关注.本文基于任意高阶间断Galerkin有限元法对弹性波方程进行空间离散,并将离散后所得的非齐次线性常微分方程系统齐次化,最后结合针对齐次问题的强稳定性保持龙格库塔（SSP Runge-Kutta）算法,将DG-FEM推广至时间任意高阶精度.另外,借鉴近最佳匹配层（NPML）的思想,基于复频移（CFS）拉伸坐标变换推导了一种新的PML吸收边界条件（简称为CFS-NPML）,该CFS-NPML能够与DG-FEM算法很好地结合,形成有效的起伏地表地震波传播数值模拟技术.数值试验结果表明,DG-FEM具有高阶精度,可以适应任意复杂起伏地表和复杂构造情况下的弹性波传播数值模拟.同时,CFS-NPML对包括面波等震相的人为边界反射都具有良好的吸收效果.     

基于AHP和BP神经网络的深部地热水可持续开发能力评价

采用资料完整性、开采潜力、回灌量、平均水压下降速率、地面沉降速率、水温、水质、地热井布局8项指标构建天津地热可持续开发能力评价指标体系;运用层次分析法确定了各项指标的权重,建立起评价因素集和评语集,给出了归一化数值;建立了天津地热可持续开发能力的BP神经网络模型,以层次分析法得出的结果作为样本,对BP网络进行了训练和测试,实例评价结果表明了AHP和BP神经网络方法的可行性,为地热资源的可持续开发能力评价提供了一种新的评价方法。     

Evaluation of liquefaction potential using neural-networks and CPT results

In this research, a reliable Cone Penetration Test data set was gathered with a wide range of parameters. This data was incorporated in a Neural-Networks computer software called STATISTICA Neural-Networks. The back propagation algorithm with a multilayer perceptron network is utilized to analyze the liquefaction occurrence in different sites. In this study, different sets of effective parameters for the neural-network analyses are selected such that to reduce the noise and to obtain more accurate results.Considering the relative importance of effective parameters in liquefaction assessment, it is indicated that σ₀, σ′₀ together play a more important role than what previously was assumed and hence the relative importance of the q_c and seismic parameters are decreased compared with the previous works. The results presented here have more accuracy than previous works while at the same time, the range of the parameters used in this study is much wider than what was previously used. This range of parameters makes the proposed method applicable for practical purposes.     

河北省月平均气温分布式模型应用研究

利用1971-2000年河北省及周边126个气象台站的常规观测资料,应用月平均气温分布式模型,实现了起伏地形下河北省月平均气温的分布式模拟,制作出100 m×100 m分辨率的气温空间制图。结果表明：坝上高原和河北省平原地区地势平坦,气温分布比较均匀;燕山山脉和太行山山脉地形复杂,气温受局地地形影响显著。在角度相同的坡地上,偏南坡与偏北坡的气温差异1月>10月>4月>7月。在同一时段,偏南坡与偏北坡的气温差异随坡度的增加而增加;张家口地区多盆地河谷,气温分布均匀且较周围地区高;月平均气温分布式模型在河北省具有良好的模拟精度、时间维和空间维模拟性能及山地扩展性能。     

Community‐Derived Standards for LA‐ICP‐MS U‐(Th‐)Pb Geochronology – Uncertainty Propagation,Age Interpretation and Data Reporting

The LA‐ICP‐MS U‐(Th‐)Pb geochronology international community has defined new standards for the determination of U‐(Th‐)Pb ages. A new workflow defines the appropriate propagation of uncertainties for these data, identifying random and systematic components. Only data with uncertainties relating to random error should be used in weighted mean calculations of population ages; uncertainty components for systematic errors are propagated after this stage, preventing their erroneous reduction. Following this improved uncertainty propagation protocol, data can be compared at different uncertainty levels to better resolve age differences. New reference values for commonly used zircon, monazite and titanite reference materials are defined (based on ID‐TIMS) after removing corrections for common lead and the effects of excess ²³⁰Th. These values more accurately reflect the material sampled during the determination of calibration factors by LA‐ICP‐MS analysis. Recommendations are made to graphically represent data only with uncertainty ellipses at 2s and to submit or cite validation data with sample data when submitting data for publication. New data‐reporting standards are defined to help improve the peer‐review process. With these improvements, LA‐ICP‐MS U‐(Th‐)Pb data can be considered more robust, accurate, better documented and quantified, directly contributing to their improved scientific interpretation.     

In-plane and anti-plane strong shaking of soil systems and structures

The concept of in-plane and anti-plane shaking is introduced with a rigid block on a plane surface with Coulomb friction. Using a hypoplastic constitutive relation to model the mechanical behaviour of the soil, numerical solutions for a rigid block on a thin dry or saturated soil layer are obtained. The coupled nature of dynamic problems involving granular materials is shown, i.e. the motion of the block changes the soil state—skeleton stresses and density—which in turn affects the block motion. Motions of the block as well as soil response can be more realistically calculated by the new model. The same constitutive equation is applied to the numerical simulation of the propagation of plane waves in homogeneous and layered level soil deposits induced by a wave coming from below. Experiments with a novel laminar shake box as well as real seismic records from well-documented sites during strong earthquakes are used to verify the adequacy of the hypoplasticity-based numerical model for the prediction of soil response during strong earthquakes. The response of a homogeneous earth dam subjected to in-plane and anti-plane shaking is investigated numerically. In-plane and anti-plane shaking is shown to cause nearly the same spreading of a sand dam under drained conditions, whereas under undrained conditions anti-plane shaking causes stronger spreading of the dam. The dynamic behaviour of a breakwater founded on rockfill and soft clay during the 1995 Kobe earthquake is back-calculated to show the good performance of the proposed numerical model also with a structure. Section 9 deals with buildings on mattresses of densified cohesionless soils or fine-grained soils with granular columns, slopes with ‘hidden’ dams and structures on piles traversing clayey slopes to show the suitability of hypoplasticity-based models for the earthquake-resistant design and safety assessment of geotechnical systems.     

变异函数模型参数的非线性加权总体最小二乘法

针对球状模型和指数模型两种变异函数模型线性化后的系数矩阵具有非线性形式,系数矩阵元素含有随机误差等问题,该文使用非线性加权总体最小二乘法估计变异函数模型参数。以高程异常数据为例,利用变异函数值的点对数定权法和系数矩阵中距离值的方差-协方差传播律定权法迭代解算参数,并与最小二乘法,加权最小二乘法和非线性总体最小二乘法进行对比分析。实验结果表明:非线性加权总体最小二乘法能够得到更高精度的变异函数模型参数。