Solution of the nonlinear roll model by a generalized asymptotic method

Mathematical modeling of the nonlinear roll motion of ships is one subject widely dealt with in nonlinear ship dynamics. This paper investigates setting up a form of nonlinear roll motion model and developing its periodic solution by the generalized Krylov–Bogoliubov asymptotic method in the time domain. In this model, nonlinearities are introduced through damping and restoring terms. The restoring term is approximated as a third-order odd polynomial whereas the quadratic term is favored to represent the nonlinear damping. The ship is assumed to be under the influence of a sinusoidal exciting force. Although the method is expressible to contain any order of the perturbing term, a single degree is chosen to avoid cumbersome mathematical complexity. In order to improve the solution a first-order correction term is also included. Moreover, a numerical example is carried out for a small vessel in order to validate the solution scheme.     

Electromagnetic Studies Of The Lithosphere And Asthenosphere

In geodynamic models of the Earth's interior, the lithosphere and asthenosphere are defined in terms of their rheology. Lithosphere has high viscosity, and can be divided into an elastic region at temperatures below 350 °C and an anelastic region above 650 °C. Beneath the lithosphere lies the ductile asthenosphere, with one- to two-orders of magnitude lower viscosity. Asthenosphere represents the location in the mantle where the melting point (solidus) is most closely approached, and sometimes intersected. Seismic, gravity and isostatic observations provide constraints on lithosphere-asthenosphere structure in terms of shear-rigidity, density and viscosity, which are all rheological properties. In particular, seismic shear- and surface-wave analyses produce estimates of a low-velocity zone (LVZ) asthenosphere at depths comparable to the predicted rheological transitions. Heat flow measurements on the ocean floor also provide a measure of the thermal structure of the lithosphere.Electromagnetic (EM) observations provide complementary information on lithosphere-asthenosphere structure in terms of electrical conductivity. Laboratory studies of mantle minerals show that EM observations are very sensitive to the presence of melt or volatiles. A high conductivity zone (HCZ) in the upper mantle therefore represents an electrical asthenosphere (containing melt and/or volatile) that may be distinct from a rheological asthenosphere and the LVZ. Additionally, the vector propagation of EM fields in the Earth provides information on anisotropic conduction in the lithosphere and asthenosphere. In the last decade, numerous EM studies have focussed on the delineation of an HCZ in the upper mantle, and the determination of melt/volatile fractions and the dynamics of the lithosphere-asthenosphere. Such HCZs have been imaged under a variety of tectonic zones, including mid-ocean ridges and continental rifts, but Archaean shields show little evidence of an HCZ, implying that the geotherm is always below the mantle solidus. Anisotropy in the conductivity of oceanic and continental lithosphere has also been detected, but it is not clear if the HCZ is also anisotropic. Although much progress has been made, these results have raised new and interesting questions of asthenosphere melt/volatiles porosity and permeability, and lithosphere-upper mantle heterogeneity. It is likely that in the next decade EM will continue to make a significant contribution to our understanding of plate tectonic processes.     

北部湾北海─临高海区的空气微生物

对北部湾的北海-临高海区作了空气微生物含量考察。结果表明,测区的空气平均细菌、真菌、总菌量及真菌/总菌的百分比分别为632．3,1324．0,1956．3CFU·m-3及67．7％。数据分析显示：测区空气微生物含量呈北高、南低、中间最少的势态;近岸海区的比相邻陆区的低,海上部分的平均比环海南岛上空的稍大,比粤西海区的稍少。其昼夜变化显示出空气细菌量峰值出现在晨间,谷值在中午。真菌量的峰值出现在黄昏,谷值在上午。其状态基本上不同于北海市区的,但近似于相邻海区的。空气做生物含量与气温间无显著相关关系。结果意味着空气污染近岸区重于海上区,人为活动的影响也较海上区的大。     

常Q滞弹性介质地震波动数值模拟——时域本构优化逼近

在地震波动模拟中计入常Q滞弹性阻尼,可有效降低模拟波形的误差.就时域有限差分和有限元模拟而言,常基于广义标准线性体建立阻尼介质的时域本构逼近.广义标准线性体由若干标准线性体并联得到,增加标准线性体个数能有效提高模拟精度,但计算量及计算存储将成倍增长.目前尚未有普适的标准线性体个数优化取值方案.本文基于广义标准线性体参数的非线性优化拟合方法,详细分析了时域本构逼近误差的影响因素,清楚揭示了逼近误差仅取决于频带宽度,与频带上下限取值无关这一特性,阐明了构建具有普适性标准线性体个数优化取值方案的可行性.论证了波形模拟精度主要取决于波传播距离与模拟波长的比值以及标准线性体的个数取值.综合考虑上述两个控制因素,结合在波动正反演问题中广为采纳的波形时频误差衡量准则,对不同Q值介质给出了标准线性体个数优化取值表.进一步,本文提出采用不同个数标准线性体以近似不同Q值的阻尼介质时域本构,解决了以往波动数值模拟中统一采用相同个数标准线性体而导致的计算量及计算存储浪费或模拟精度低下等问题,并基于数值实验验证了这一方法的精度.本文工作对推进滞弹性介质波动数值模拟及其在全波形反演问题中的应用具有理论价值和实践意义.     

基于广义模型约束的时间域航空电磁反演研究

由于航空电磁具有海量数据,因此快速有效的成像和反演手段至关重要.本文针对层状介质模型推导与实现了广义模型约束条件下时间域航空电磁一维反演.从正则化反演的目标函数出发,通过改变模型约束项构造Lp范数反演和聚焦反演,进而通过改变模型求解域构造出基于小波变换的稀疏约束反演.针对不同反演方法目标函数的构建方式,本文进一步从数学原理上分析不同反演方法的预期效果,并通过理论模型和实测数据进行验证.结果表明L0.8范数反演、聚焦反演和基于小波变换的稀疏约束反演可以得到更符合地下层状介质陡变界面的反演结果.     

黄土高原中东部沙尘与非沙尘天气花粉组成及来源范围

通过黄土高原两个不同地区(浑源、洛川)沙尘与非沙尘天气花粉组合的对比来探讨主要花粉类型最大传播距离。结果表明：沙尘天气花粉汇集量明显高于非沙尘天气,特别是蒿属和藜科花粉,沙尘天气平均是非沙尘天气的3倍以上。随风速增大,花粉可能的最大源区范围明显增大。风速低于3.3 m/s时,蒿属和藜科花粉多来自100 km范围内,其他类型花粉来源范围不超过20 km;风速大于5.9 m/s时,蒿属和藜科花粉源区范围增至300 km以上;其他类型花粉不超过100 km。风速达到12.5 m/s时,蒿属及藜科最大花粉源区范围可达1000 km,其他类型花粉不超过300 km。浑源地区不论平均风速还是最大风速均明显高于洛川地区,因此,主要花粉类型可能的最大源区范围达200 km,大于洛川地区(低于100 km)。     

自适应移动盒子的机载LiDAR点云去噪算法

针对现有LiDAR点云去噪算法难以实现自适应的问题,该文提出了基于空间盒子结构的自适应移动盒子去噪算法。基于经验模型建立盒子自适应准则,较好规避了现有算法的去噪阈值确定问题;采用聚类分析实现噪声点与有效点的精确标示。基于不同类型噪声的点云数据实验结果表明:与现有去噪算法相比,基于自适应移动盒子的去噪算法具有更好的适应性和去噪效果。     

辽东半岛五龙金矿床航空电磁场特征及找矿意义

五龙金矿床位于五龙矿集区中部,是矿集区内规模大的石英脉型金矿。为查明矿集区深部构造及指导深部找矿预测,需结合深部地球物理资料综合分析研究。本文基于五龙矿集区航空探测任务,并结合其成矿地质特征,研究了五龙金矿在平面、剖面、空间等维度的航磁、航空TEM、航空大地电磁特征及其找矿意义。研究表明：平面上矿体位于鸡心沟断裂东侧负磁背景场中NE与近SN、NW向弱磁异常带交汇处,中等 强剩余磁异常带的转折端、梯度带,视电阻率低阻区及中低阻梯度带,深部存在团块状视磁化率高值区;剖面上矿体位于“左低右高,上高下低”的视电阻率梯度带上,呈中低阻、低阻特征及强磁场区至弱磁场区的视磁化率梯度带上,呈浅部“上高下低”、深部“下高上低”的中等 弱磁特征;空间上矿体位于鸡心沟断裂东侧的断裂构造低阻带与岩体高阻异常带的梯度带。五龙金矿地质地球物理找矿标志的建立和深部高视磁化率异常区的存在,表明矿区深部1000~2000m空间与五龙金矿体视电阻率、视磁化率特征相似的地段,仍具有较好找矿潜力。     

机载三线阵传感器航空摄影测量的坐标转换方法研究

由于机载GPS获取的数据是WGS84坐标系,定向测图时首先要进行坐标转换。本文讨论了7参数平面转换模型与GPS水准测量拟合高程异常的方法,研究了数字航空摄影测量的像控点布设问题,并对数字航空摄影测量只在测区四角布设控制点即可满足空三精度要求的观点进行了分析。实验结果表明,机载三线阵航空摄影测量中高精度的7参数转换与似大地水准面精化成果是获取高精度空三的前提。     

结合强度信息的LIDAR数据滤波方法

机载激光扫描系统可以直接生成扫描区域的数字表面模型,但是为了提取数字地面模型还须对LIDAR数据进行滤波处理。本文分析了用坡度法对机载LIDAR数据进行滤波的不足,并结合LIDAR数据中的强度信息,提出了一种结合强度信息的LIDAR数据滤波方法。与坡度法相比,该方法提高了滤波的精度和效率。试验结果表明该方法计算速度快,并能够有效地滤除LIDAR数据中的地物。