斜坡地基上高填方路堤极限承载力研究

结合山区高速公路建设的实践,采用大型室内模型试验,找出了荷载作用下斜坡地基上高填方路堤滑动破坏面出现的位置及形态,并确定了其极限承载力的大小。在通用条分法的理论基础上运用Visual Basic编程语言编制了斜坡地基上填方路堤极限承载力计算程序,并应用于该试验模型的计算分析,计算与试验结果的对比分析表明,利用极限平衡通用条分法不仅简单可行,且具有较高的计算精度。     

太平洋海山地形与钴结壳资源分布的分形研究

通过海山地形与钴结壳资源量的分形研究表明,海山地形与钴结壳资源量间呈多重分形分布。海山坡度与资源量分形呈三段式,引起海山坡度与资源量分段分形的原因是不同类型结壳分布叠加的结果。水深—资源量分形呈三到四段式,引起水深—资源量复杂分形的原因可能与海山基底洋壳有关,海山基底洋壳年龄老于165 M a的海山呈四段式分布,而小于165 M a的海山呈三段式分布。同一区域或不同区域内海山地形与资源分布各不相同。      

综合小波分析与分形方法进行弱磁异常识别

利用小波分析塔式算法对单一分形模型数据进行处理,结合"随机共振"理论,对高精度弱磁异常中的噪声和误差进行有效的分析评价,依据趋势分析方法获得的剩余磁异常,提出"加窗移动"最小二乘方法对应用非整数阶微积分的布郎运动正态随机行走进行控制,为高精度弱磁异常的有效识别提供有益的指导.     

论广义逆矩阵阶数增大的递推算法

本文针对加拿大地球物理学家ＥｄｏＮｇｌａｎｄ教授提出的问题，对Ｍ—Ｐ广义逆矩阵的递推算法进行了探分论述探讨的初步结果和对Ｇｒｅｖｉｌｌｅ递推算法的扩充。文中对算法的扩充给出严格的证明。     

花岗岩型铀矿铀地球化学场分形奇异值分解研究

介绍了分形奇异值分解方法的原理和实现过程,在桃山花岗岩型铀矿矿集区开展了应用试验,利用该方法将桃山地区1/5万铀地球化学场分解为噪声场、区域地质背景场和局部异常场,在提取隐伏铀矿弱信息方面取得了较好的应用效果。     

基于分形理论的赫巴流体在多孔介质中的渗流模型

泥浆是一种用途广泛的工程浆液,在工程施工过程中会渗流进入地层,给工程带来一定的影响。为深入研究泥浆的渗流机理,把地层模拟为多孔介质,泥浆模拟为能更全面地反映其流变性能的赫巴流体,基于分形理论,建立赫巴流体在多孔介质中的渗流模型。基于渗流模型计算结果,详细分析压力梯度、流性指数、稠度系数及孔隙率等参数对多孔介质中赫巴流体瞬时平均流速的影响,指出流速变化与压力梯度、流性指数及稠度系数的变化均呈幂指数关系,与孔隙率变化呈二项式关系,且流性指数是一个影响赫巴流体渗流速度的极敏感因素。渗流模型计算结果为相关工程中泥浆方案的设计与施工奠定了一定的理论基础。     

基于集对分析的广义水环境承载能力评价

通过对水环境系统的分析,提出了广义水环境承载能力的定义及相应评价指标体系;通过改进熵值赋权方法,完善了广义水环境承载能力的集对分析模型;在深入分析广东省水环境特点的基础上,构建了广东省水环境承载能力评价指标体系,并采用基于改进熵值法赋权的集对分析模型,综合评价了3个子系统和区域水环境承载能力;在综合评价的基础上,提出了改善研究区域水环境承载能力的建议。     

The Fourier Integral Method: An efficient spectral method for simulation of random fields

The Fourier Integral Method (FIM) of spectral simulation, adapted to generate realizations of a random function in one, two, or three dimensions, is shown to be an efficient technique of non-conditional geostatistical simulation. The main contribution is the use of the fast Fourier transform for both numerical calculus of the density spectral function and as generator of random finite multidimensional sequences with imposed covariance. Results obtained with the FIM are compared with those obtained by other classic methods: Shinozuka and Jan Method in 1D and Turning Bands Method in 2D and 3D, the points for and against different methodologies are discussed. Moreover, with the FIM the simulation of nested structures, one of which can be a nugget effect and the simulation of both zonal and geometric anisotropy is straightforward. All steps taken to implement the FIM methodology are discussed.     

北京城市下垫面的非均匀性度量研究

城市下垫面非均匀性度量研究对于改进中尺度数值模式、提高城市气象预报准确率具有重要意义.基于分形布朗运动理论和Landsat-TM卫星遥感图像,估算了2011年北京典型下垫面类型个例和整个空间区域的分数维,由此来度量北京城市下垫面的非均匀性特征.研究结果显示:分数维能有效度量北京城市下垫面的非均匀程度,典型下垫面类型的分数维高低顺序为商业区 >大型居民区 >城市绿地 >农田>林地 >水体;北京六环内区域及郊区城镇地表非均匀特征明显,分数维一般在2.50以上,北京城市中心(二环内)存在一个分数维相对低值区,二环—四环之间区域分数维普遍较高,在2.70以上,五环以外分数维则不断降低,反映出北京城市下垫面非均匀性从中心向外呈低—高—低的空间分布;下垫面类型中建筑用地、绿地、未利用地、农田、林地和水体的平均分数维分别为2.71、2.62、2.55、2.38、2.30和2.28,分数维值的高低反映了城市下垫面类型的非均匀程度大小,对定量描述城市边界层参数的复杂特征具有参考意义.     

Oblique wave scattering by undulating porous bottom in a two-layer fluid: Fourier transform approach

The problem involving scattering of oblique waves by small undulation on the porous ocean bed in a two-layer fluid is investigated within the framework of linearised theory of water waves where the upper layer is free to the atmosphere. In such a two-layer fluid, there exist waves with two different wave numbers (modes): wave with lower wave number propagates along the free surface whilst that with higher wave number propagates along the interface. When an oblique incident wave of a particular mode encounters the undulating bottom, it gets reflected and transmitted into waves of both modes so that some of the wave energy transferred from one mode to another mode. Perturbation analysis in conjunction with Fourier transform technique is used to derive the first-order corrections of velocity potentials, reflection and transmission coefficients at both modes due to oblique incident waves of both modes. One special type of undulating bottom topography is considered as an example to evaluate the related coefficients in detail. These coefficients are shown in graphical forms to demonstrate the transformation of water wave energy between the two modes. Comparisons between the present results with those in the literature are made for particular cases and the agreements are found to be satisfactory. In addition, energy identity, an important relation in the study of water wave theory, is derived with the help of the Green’s integral theorem.