Green''''s functions for uniformly distributed loads acting on an inclined line in a poroelastic layered site

Based on one type of practical Biot's equation and the dynamic-stiffness matrices of a poroelastic soil layer and half-space, Green's functions were derived for uniformly distributed loads acting on an inclined line in a poroelastic layered site. This analysis overcomes significant problems in wave scattering due to local soil conditions and dynamic soil-structure interaction. The Green's functions can be reduced to the case of an elastic layered site developed by Wolf in 1985. Parametric studies are then carried out through two example problems.     

部分变量误差模型的整体抗差最小二乘估计

部分变量误差模型(partial EIV model)的加权整体最小二乘(weighted total least-squares,WTLS)估计不具备抵御粗差的能力。鉴于粗差可能同时出现在观测值和系数矩阵中,本文在提出部分变量误差模型WTLS估计的两步迭代解法的基础上,运用抗差M估计的等价权方法,发展了一种整体抗差最小二乘(TRLS)估计方法,并采用一致最大功效统计量确定降权因子。针对WTLS估计两步迭代解法的特点,设计了两个不同的降权方案:第1个方案是在估计系数矩阵元素时,不对观测值降权,仅对系数矩阵降权;第2个方案是在估计系数矩阵元素时,既对系数矩阵降权,同时也对观测值降权。通过对模拟2D仿射变换和线性拟合实例进行计算和分析,结果表明第1方案优于第2方案,并且优于基于残差和验后单位权方差的抗差估计和现有的变量误差模型抗差估计。     

震源系统小震调制比（r＿m）和异常面积（Sr＿m）起伏加剧的时空特征与强震的中、短期预报

本文对强震前震源系统的调制比ｒ＿ｍ和调制比异常面积Ｓｒ＿ｍ随时间变化的起伏加剧现象进行回顾性研究，得到下列研究结果：（１）强震前近源区以及中强震前近源区大多出现调制比ｒ＿ｍ的起伏加剧，并大多在起伏频次达三次时有大震或中强震发生。（２）大多数中、强地震前ｒ＿ｍ异常面积Ｓｒ＿ｍ围绕震源区呈现由小至大、由大至小的过程，因此引入最小异常面积Ｓｒ＿（ｍｉｎ）和最大异常面积Ｓｒ＿（ｍａｘ）之比γ作为中、短期预报指标，根据统计得到异常指标［γ］如下式某些震例在震前出现异常面积Ｓｒ＿ｍ起伏的加剧过程，初步认为是震源区周围调整单元调整能力较差导致的结果。（３）ｒ＿ｍ、Ｓｒ＿ｍ起伏加剧开始时间与震级有关，震级愈大，起伏加剧出现愈早。根据半年步长逐月滑动得到的ｒ＿ｍ－Ｔ图，起伏加剧开始至发震的时间与震级Ｍ的统计，得到如下关系（Ｔ以月计）Ｍ＝４．２９＋０．１１Ｔ（４）强震前场区异常一般呈现随机异常型、波动型和衰减型三种。若场区某统计区出现ｒ＿ｍ的三次起伏加剧时，说明该统计区未来有强震发生。（５）由自治系统和非自治系统原理初步解释了震前震源区周围调整区调制比ｒ＿ｍ及调制比异常面积Ｓｒ＿ｍ起伏现象的周期特征。     

关于带有协作/竞争机制时变积分器网络一致性的收敛速率

本文探讨了时变无向网络达到状态一致过程中的收敛速率问题.首先基于一般的时变无向网络展开研究,证明了其收敛速率随耦合权重的增加而提高.同时,给出了收敛速率的明确下界,并指出这个下界是耦合权重的线性函数.基于这些结论,本文研究了带符号网络的收敛速率问题,发现只要带有正权值的边具有（δ,T）连通性,就可以增大这些边的权重而保持其余边（带有负权值）不变,使一致性以指数的速率达到.本文的证明过程主要基于完全一致可观这一概念.另外,本文也得到了这样的结论：一致性误差值可以从系统一段时间内的相对状态值中重建.这对于分布式网络中滤波器的状态估计有一定的借鉴意义.     

A 15-year-Long catalog of seismicity in the Eastern Tennessee Seismic Zone (ETSZ) using matched filter detection

We present a detailed catalog of 13 671 earthquakes in the Eastern Tennessee Seismic Zone (ETSZ) that spans January 1, 2005 to July 31, 2020. We apply a matched filter detection technique on over 15 years of continuous data, resulting in arguably the most complete catalog of seismicity in the ETSZ yet. The magnitudes of newly detected events are determined by computing the amplitude ratio between the detections and templates using a principal component fit. We also compute the b-value for the new catalog and comparatively relocate a subset of newly detected events using XCORLOC and hypoDD, which shows a more defined structure at depth. We find the greatest concentration along and to the east of the New York-Alabama Lineament, as defined by the magnetic anomaly, supporting the argument that this feature likely is related to the generation of seismicity in the ETSZ. We examine seismicity in the vicinity of the Watts Bar Reservoir, which is located about 5 ?km from the epicenter of the M_W 4.4 December 12, 2018 Decatur, Tennessee earthquake, and find possible evidence for reservoir modulated seismicity in this region. We also examine seismicity in the entire ETSZ to search for a correlation between shallow earthquakes and seasonal hydrologic changes. Our results show limited evidence for hydrologically-driven shallow seismicity due to seasonal groundwater levels in the ETSZ, which contradicts previous studies hypothesizing that most intraplate earthquakes are associated with the dynamics of hydrologic cycles.     

Morphodynamics of a bedrock‐alluvial meander bend that incises as it migrates outward: approximate solution of permanent form

In meandering rivers cut into bedrock, erosion across a channel cross‐section can be strongly asymmetric. At a meander apex, deep undercutting of the outer bank can result in the formation of a hanging cliff (which may drive hillslope failure), whereas the inner bank adjoins a slip‐off slope that connects to the hillslope itself. Here we propose a physically‐based model for predicting channel planform migration and incision, point bar and slip‐off slope formation, bedrock abrasion, the spatial distribution of alluvial cover, and adaptation of channel width in a mixed bedrock‐alluvial channel. We simplify the analysis by considering a numerical model of steady, uniform bend flow satisfying cyclic boundary conditions. Thus in our analysis, ‘sediment supply’, i.e. the total volume of alluvium in the system, is conserved. In our numerical simulations, the migration rate of the outer bank is a specified parameter. Our simulations demonstrate the existence of an approximate state of dynamic equilibrium corresponding to a near‐solution of permanent form in which a bend of constant curvature, width, cross‐sectional shape and alluvial cover distribution migrates diagonally downward at constant speed, leaving a bedrock equivalent of a point bar on the inside of the bend. Channel width is set internally by the processes of migration and incision. We find that equilibrium width increases with increasing sediment supply, but is insensitive to outer bank migration rate. The slope of the bedrock point bar varies inversely with both outer bank migration rate and sediment supply. Although the migration rate of the outer bank is externally imposed here, we discuss a model modification that would allow lateral side‐wall abrasion to be treated in a manner similar to the process of bedrock incision. Copyright © 2016 John Wiley & Sons, Ltd.     

采用变系数回归模型提取GPS坐标序列季节性信号

提出采用变系数回归模型提取连续GPS坐标序列中包含的振幅时变季节性信号。对模拟数据及实际GPS坐标序列两组数据的分析结果表明,变系数回归模型在提取GPS坐标序列季节信号方面比传统模型更有效。经处理,GPS坐标序列能获得更合理的速度及噪声估计。     

新型FMCW地基合成孔径雷达在大桥变形监测中的应用

地基合成孔径雷达（GB-SAR）是一种新型的建筑变形监测技术,相较于传统的监测手段,该方法拥有高精度,覆盖面大等优点。基于FMCW技术的Fast-GBSAR系统采用调频连续波技术,相较于国内已有的基于步进连续波技术的类似系统,该系统处理速度提高30倍,并拥有更高的可靠性。Fast-GBSAR在国内已对多座大桥进行了公开测试,监测结果表明Fast-GBSAR测量精度能达到0.01 mm,在变形监测领域极具潜力。     

Banach空间中非扩张映像的强收敛性

在实光滑和一致凸Banach空间中通过引入广义度量投影,证明了一个关于非扩张映像的修正Mann迭代序列的强收敛性定理。目的是利用广义度量投影来修改Nakajo与Takahashi的迭代方案,并将Nakajo与Taka—hashi文中所对应的主要结果由Hilbert空间推广到实光滑和一致凸Banach空间。