碎裂结构边坡变形机理及治理对策研究

碎裂结构边坡稳定性受多组相交结构面控制,且受降雨、地震等多因素影响强烈,具有一定的特殊性。本文以某花岗岩碎裂结构边坡为例,在边坡的地质条件和岩体结构研究的基础上,结合施工及监测反馈信息,深入分析了边坡变形破坏模式,并根据稳定性计算结果,提出锚索、钢筋桩与排水相结合的支护方案。研究结果表明：坡体内部陡倾卸荷裂缝发育形成后缘切割面,中下部滑面追踪陡缓两组结构面发展;支护措施实施后,边坡经历“5•12”地震及雨季,多点位移计监测结果表明,地震和降雨对边坡稳定性影响较大,支护措施较好地控制了边坡变形。     

小山水电站厂房高边坡岩体稳定性研究

本文采用块体极限平衡Sarma法和非线有限单元分析法对小山水电站厂房边坡岩体稳定性进行了分析研究。综合两种方法的计算成果分析, 厂房边坡岩体在自然状态下是基本稳定的, 整体安全系数均大于1.30, 但在边坡岩体内存在部分张应力区和塑性区。若考虑Ⅵ度地震, 厂房边坡岩体Sarma法和有限元计算的安全系数分别为1.18和1.16, 处于极限平衡状态。考虑到长期稳定边坡安全系数大于1.30的规范要求, 需进行一定的加固处理, 保障厂房安全运行。     

映秀—卧龙公路沿线汶川地震地质灾害研究

映秀—卧龙公路是汶川地震灾区距震中最近、震害最为严重的一条公路,本文对沿线地震地质灾害进行了详细的调查研究。依据震害特征,将沿线震害划分为斜坡中上部强风化岩体及土层失稳、结构面切割岩体崩滑失稳、滑坡、泥石流等4类,并分析了沿线震害发育规律。调查表明：龙门山后山断裂两侧地震地质灾害呈现显著的差异性,主要是由深大断裂的消震隔震效应,地貌放大效应,地质结构等三方面因素决定的。通过134条实测剖面分析,研究了地震失稳斜坡坡度和失稳部位。地震诱发失稳斜坡坡度在33°～84°之间,主要分布在41°～65°之间,可以认为地震诱发斜坡失稳灾害主要发生在40°以上的斜坡。斜坡失稳部位主要分布在斜坡中上部以及地貌突出部位,主要失稳部位在04坡高以上。从研究斜坡动力失稳的角度,将沿线斜坡划分为基岩-土层及强风化层斜坡地质结构、不利外倾结构面基岩斜坡地质结构、块状构造基岩斜坡地质结构、块碎石土层斜坡地质结构等几种地质结构模型,分析论述了各种地质结构相应的地震地质灾害类型及特点。
     

Rational solutions of the graphsack problem

A graphsack problem is a certain binary linear optimization problem with applications in optimal network design. From there a rational graphsack problem is derived by allowing the variables to vary continuously between 0 and 1. In this paper we deal with rational graphsack problems. First we develop the concept of compressed solutions and the concept of augmenting cuts. Making use of these concepts a very simple optimality criterion is derived. Finally an efficient algorithm solving rational graphsack problems is given which is polynomially bounded in time and which is closely related to the simplex algorithm.     

Improved Bohr’s inequality for locally univalent harmonic mappings

We prove several improved versions of Bohr’s inequality for the harmonic mappings of the form $f=h+\overline{g}$, where $h$ is bounded by 1 and $\left|g^{\prime }\left(z\right)\right|\le \left|h^{\prime }\left(z\right)\right|$. The improvements are obtained along the lines of an earlier work of Kayumov and Ponnusamy, i.e. (Kayumov and Ponnusamy, 2018) for example a term related to the area of the image of the disk $D(0,r)$ under the mapping $f$ is considered. Our results are sharp. In addition, further improvements of the main results for certain special classes of harmonic mappings are provided.     

A strong bound on the integral of the central path curvature and its relationship with the iteration-complexity of primal-dual path-following LP algorithms

The main goals of this paper are to: i) relate two iteration-complexity bounds derived for the Mizuno-Todd-Ye predictor-corrector (MTY P-C) algorithm for linear programming (LP), and; ii) study the geometrical structure of the LP central path. The first iteration-complexity bound for the MTY P-C algorithm considered in this paper is expressed in terms of the integral of a certain curvature function over the traversed portion of the central path. The second iteration-complexity bound, derived recently by the authors using the notion of crossover events introduced by Vavasis and Ye, is expressed in terms of a scale-invariant condition number associated with m × n constraint matrix of the LP. In this paper, we establish a relationship between these bounds by showing that the first one can be majorized by the second one. We also establish a geometric result about the central path which gives a rigorous justification based on the curvature of the central path of a claim made by Vavasis and Ye, in view of the behavior of their layered least squares path following LP method, that the central path consists of long but straight continuous parts while the remaining curved part is relatively “short”. R. D. C. Monteiro was supported in part by NSF Grants CCR-0203113 and CCF-0430644 and ONR grant N00014-05-1-0183. T. Tsuchiya was supported in part by Japan-US Joint Research Projects of Japan Society for the Promotion of Science “Algorithms for linear programs over symmetric cones” and the Grants-in-Aid for Scientific Research (C) 15510144 of Japan Society for the Promotion of Science.     

低氧低分压环境下泡塑吸附原子吸收光谱法测定矿石中的金

在青海低氧低分压环境下,试样用王水分解,在王水介质中用多孔聚氨酯泡沫振荡吸附富集,然后用硫脲加热解脱,再直接用火焰原子吸收分光光度计测定。通过对泡塑的吸附振荡,解脱时间,硫脲浓度等条件的探讨,确定了最佳分析条件,解决了低氧低分压环境下常量A u的测定。     

A globally convergent method for computing multiple vortices in a supersymmetric field theory

Computation of the solutions to the gauge field equations is known of great importance for the simulation of various particle physics systems. In this work, we establish a globally convergent iterative method for computing the multiple vortex solutions arising in a self-dual system of non-Abelian gauge field equations derived in a supersymmetric theory model. Using this method, we present a few numerical examples which demonstrate the effectiveness of the method and, at the same time, provide a concrete realization of the soliton-like behavior of the vortexlines concentrated around centers of vortices, which is believed to be essential for linear confinement in QCD.     

Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points

H. Minkowski proved C= convext C whenever C is a compact convex subset of a finite-dimensional linear space. If C is bounded but not closed, this representation does not hold anymore. In this case, we introduce the set of so-called γ-extreme points extγC of C and show C = convext γ C = raco extγ C, where raco M denotes the rational convex hull of M.