关于最小二乘问题近似解误差估计的进一步分析

Brezinski等人给出了最小二乘问题近似解的一族误差估计。该误差估计含有1个实参数。本文的贡献有3个方面:其一是给出了1种参数选择策略;其二是对该族误差估计的性质做出进一步分析;其三是分析了应用于Tikhonov正则化时应注意的一些问题。     

The penetration experiment to predict liquefaction resistance of reclaimed soils

The liquefaction resistance of the soils used to be estimated through the in situ tests, such as standard penetration test and cone penetration test; or by means of cyclic triaxial test in laboratory. However, both in situ tests and cyclic triaxial test are time-consuming and costly; this study introduces a quick and cost-effective method to evaluate the liquefaction resistance of soils under certain confining pressure in laboratory. A particular device modified from the conventional triaxial compression test apparatus, namely “Triaxial Cone Penetration Test”, was developed to obtain the peak values of cone resistance in soils so as to correlate the liquefaction resistance of the reclaimed soils evaluated by cyclic triaxial tests. The test result indicates a good correlation between the peak value of cone resistance and the corresponding cyclic stress ratio (CSR) at the state of initial liquefaction, in which the correlation for loose samples is better than that for dense samples. Besides, both peak values of cone resistance and corresponding CSR increase with fine content of soils reaches 10% and decreased with fine content varying between 10% and 50%. By examining the compositions of the soils with scanning electron microscopy and X-ray diffraction, it is found that the proportion and characteristics of the fines plays an important role on the liquefaction resistance of the reclaimed soils.     

海底浅表层不同土类静力触探参数与物理力学性质对比研究

海底土的物理、力学特性是海洋地质学、海洋土工学、海洋地质灾害等调查研究及海洋资源开发环境条件调查和评价等方面非常重要的资料,海底静力触探试验(CPT)是获取这方面资料的一种快速高效、成本低、测试精度高的原位测试方法。它可同时获取海底土锥尖阻力、侧摩阻力等方面的连续原位测试数据,这些数据与海底土取样样品测试分析资料及物探资料结合,可对海底土的工程特性等作比较全面的分析和评价。本文对采集的海底土样的静力触探参数与海底土样的物理力学指标进行相关分析,分粘性土和砂类土二类,建立了海底浅表层土的静力触探参数与物理力学指标之间的相关方程。利用相关方程可以通过静力触探的数据来推算土的物理力学指标,进而对海底土的工程情况作较全面的评价。     

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基于构造约束的波阻抗边界刻画

通过边界保护正则化和约束反演,在反演的目标函数中引入各种先验信息约束,以解决波阻抗反演的病态问题和带限问题.为了克服波阻抗模型边界过于平滑,在反演中引入地层和断层等构造信息约束,并且通过调整地层分界面和断层处的正则参数值来实现构造约束.此外,采用各向异性扩散法进行平滑处理,改善反演结果.通过合成数据测试和实际资料反演,证明了本文提出的方法对刻画模型边界是有效的.     

GNSS船姿测量方法及对多波束测深精度的影响分析

GNSS船姿测量以其观测误差不随时间累积的特点得到了广泛研究和应用,本文基于三天线GNSS船姿测量方式,构建了波束脚印误差与姿态误差间的关系模型,设计仿真实验分析了基线长度对姿态误差的影响,以及不同水深环境下姿态误差与GNSS定位误差的关系。为突破传统RTK在测量距离上的限制,本文采用PPP、PPK、MBD (动态参考站差分)三种方法进行GNSS船姿计算,并通过海上实验与高精度惯性导航系统进行对比分析,结果表明使用MBD测姿结果要优于PPK和PPP模式,得到的航偏角、横摇角、纵摇角标准差均在0.1°左右,可满足通常情况下多波束测深对姿态精度的要求。     

非稳腔主动式直接获取纳秒近似无衍射贝塞尔绿光

通过对基于轴棱锥的贝塞尔谐振腔和贝塞尔-高斯谐振腔的研究,设计了一台腔内倍频Nd:YAG纳秒近似无衍射贝塞尔绿光激光器. 非稳激光器谐振腔由轴棱锥和凸面镜组成. 实验采用单灯脉冲抽运激光增益介质Nd:YAG晶体,倍频晶体选用KTP. 当抽运电压为350 V时,由主动式直接产生纳秒近似零阶贝塞尔绿光,其脉冲宽度为55.1 ns,波长为532 nm,线宽为0.8 nm,近似无衍射零阶贝塞尔绿光的中心光斑直径为192 μm. 利用Fresnel-Kirchhoff 衍射积分和Fox-Li迭代法,通过数值计算得出     

阶变折射率轴棱锥产生局域空心光束

提出利用折射率成阶跃性变化的轴棱锥产生局域空心光束(bottle beam).讨论了折射率沿径向成阶跃式减小或增加两种模型,从几何光学角度分析了它们产生bottle beam的原理,利用衍射积分理论数值模拟两种轴棱锥光传输的光场分布和不同距离处的二维光斑图,研究结果表明折射率沿径向阶跃减小的轴棱锥产生单个bottle beam,而折射率沿径向阶跃增加的轴棱锥产生具有周期再现的bottle beams.bottle beam在原子引导和囚禁、光学俘获及光镊等方面有广泛的应用, 因此本文的研究对bottle