Exact solution of earth-flattening transformation for P-SV waves: Taking surface wave as an example

Taking surface wave as an example this paper proposes an exact solution of earth-flattening transformation for P-SV waves and discusses the applicability of the approximate methods. The results show that the transform parameter m has little influence on the final results, and on the condition of short wave approximation, approximate earth-flattening transformation is suitable. Moreover, the efficiency of approximate transformation is twice of that of exact transformation. For low frequency problems exact earth-flattening transformation should be used.     

Calculation of reflection and transmission coefficients for qP waves incident on a planar interface between isotropic and triclinic media

In the paper by Chattopadhyay and Rajneesh (2006, “Reflection and refraction of waves at the interface of an isotropic medium over a highly anisotropic medium’, Acta Geophysica, vol. 54, no. 3, pp. 239–249), the authors proposed a process to calculate R/T (reflection and transmission) coefficients at the interface between isotropic and triclinic half-spaces, with incident qP waves in triclinic media. Unfortunately, besides several misprints, the authors made a fatal assumption that there is no transmitted SH wave generated in isotropic media, which led the successive analytical derivations and numerical calculations thoroughly wrong. In this paper, the errors are analyzed at length and corrections are given. Then an alternative approach to solve the problem is proposed and numerical results are shown and discussed.     

变权组合预测模型在地下水水位预测中的应用

为探讨变权组合预测模型在地下水水位预测中的应用,以内蒙古通辽市东郊为研究区,利用该区1997-2008年的地下水水位埋深数据,采用基于指数预测法、灰色预测法以及线性回归预测法的变权组合预测方法进行水位埋深的模拟和预测。经计算,以上3种单项预测方法的预测值以及组合预测方法的预测值与实际值的误差平方和分别为5.116 1、5.080 1、4.914 8、4.672 3。这表明,利用变权组合预测方法比单纯运用某一种预测方法预测精度更高。并且,由预测值可以看出,到2015年该研究区水位埋深将达到15.39 m,相比2008年递增幅度将达到20%。     

近断层地震动的频谱周期参数和非平稳特征分析

分析地震动的频谱周期参数和频率非平稳特征,是地震危险性分析和结构抗震设计的重要内容.本文对近断层地震动记录按照不同的运动特征分组,进行了Hilbert-Huang变换分析.结合相关的定义得到了表征地震动频谱特性的7个周期参数,包括:Fourier幅值谱平均周期Tm、Hilbert边际谱平均周期Tmh、特征周期Tc、卓越周期等,并计算了地震动的Hilbert谱瞬时频率时程变异系数.计算结果表明,从整体上把握地震动频谱特性的三个周期参数Tm 、Tmh 和Tc适合于表征近断层地震动的频谱成份.近断层地震动的频率非平稳特征显著,Hilbert谱瞬时频率变异系数良好地反映了地震动的频率非平稳性质和程度.而且,考察了近断层地震动运动特征对地震动频谱周期参数和频率非平稳性的影响.     

变质玄武岩体系相平衡及矿物 熔体微量元素分配：限定TTG/埃达克岩形成条件和大陆壳生长模型

埃达克质岩石是高Na、Al和Sr、低Y和HREE以及Nb、Ta亏损的钠质花岗质岩石,奥长花岗岩-英云闪长岩-花岗闪长岩(TTG)是早期(太古宙)大陆壳主要组分,成分与埃达克质岩石相似,这些成分独特的岩石总体上认为是俯冲洋壳、下地壳和拆沉的下地壳中变质玄武岩部分熔融的产物。文中综述我们近年来在变质玄武岩体系相平衡和矿物-熔体微量元素分配实验研究成果:相平衡实验和熔体微量元素特征研究表明,变质玄武岩部分熔融过程中金红石是导致TTG/埃达克岩浆Nb、Ta亏损的必要残留矿物,从而否定了前人“TTG由无金红石的角闪岩熔融产生”的观点;证实金红石仅仅在压力1.5GPa以上才能稳定存在,从而限定TTG/埃达克岩熔体必定产生在大约50km以上,表明TTG/埃达克岩是在相对较深的含金红石榴辉岩相条件下熔融产生的。矿物(石榴子石、角闪石,单斜辉石和金红石)-熔体微量元素分配系数测定和部分熔融模拟结果进一步限定俯冲洋壳和下地壳起源的TTG/埃达克岩浆由含金红石角闪榴辉岩熔融产生,而拆沉下地壳起源的埃达克岩浆的产生要求软流圈地幔高温,由无水或含有少量含水矿物的榴辉岩熔融产生。     

Part II. Discontinuous Galerkin method applied to a single phase flow in porous media

Discontinuous Galerkin numerical simulations of single phase flow problem are described in this paper. The simulations show the advantages of using discontinuous approximation spaces. hp convergence results are obtained for smooth solutions. Unstructured meshes and unsmooth solutions are also considered.     

浅基础竖向极限承载力的可靠度分析

结合各种地基土的原始载荷板试验资料,用太沙基理论公式、汉森理论公式和魏西克理论公式进行了浅基础极限承载力的计算,对计算模式的不确定性、土性固有的变异性及由其引起的极限承载力的不确定性等进行了研究;根据以上计算结果,计算了各类地基土承载力的可行度指标;结合上部结构的荷载标准及分项系数,计算了各类地基土承载力的分项系数。     

New views of Betelgeuse: multi-wavelength surface imaging and implications for models of hotspot generation

We report contemporaneous multi-wavelength interferometric imaging of the red supergiant star Betelgeuse ( α Orionis), using the Cambridge Optical Aperture Synthesis Telescope (COAST) and the William Herschel Telescope (WHT), at wavelengths of 700, 905 and 1290 nm. We find a strong variation in the apparent symmetry of the stellar brightness distribution as a function of wavelength. At 700 nm the star is highly asymmetric, and can be modelled as the superposition of three bright spots on a strongly limb-darkened disc. However, at 905 nm only a single low-contrast feature is visible and at 1290 nm the star presents a featureless symmetric disc. The change in spot contrast with wavelength is consistent with a model in which the bright spots represent unobscured areas of elevated temperature, owing perhaps to convection, on a stellar disc that itself has a different appearance, i.e. geometrical extent and limb-darkening profile, at different wavelengths. The featureless centre-to-limb brightness profile seen at 1290 nm is consistent with this model and suggests that future interferometric monitoring of the star to quantify the size changes associated with radial velocity variations should be performed at similar wavelengths in the near-infrared.     

Wavelength dependence of angular diameters of M giants: an observational perspective

We discuss the wavelength dependence of angular diameters of M giants from an observational perspective. Observers cannot directly measure an optical-depth radius for a star, despite this being a common theoretical definition. Instead, they can use an interferometer to measure the square of the fringe visibility. We present new plots of the wavelength-dependent centre-to-limb variation (CLV) of intensity of the stellar disc as well as visibility for Mira and non-Mira M giant models. We use the terms 'CLV spectra' and 'visibility spectra' for these plots. We discuss a model-predicted extreme limb-darkening effect (also called the narrow-bright-core effect) in very strong TiO bands which can lead to a misinterpretation of the size of a star in these bands. We find no evidence as yet that this effect occurs in real stars. Our CLV spectra can explain the similarity in visibilities of R Dor (M8IIIe) that have been observed recently, despite the use of two different passbands. We compare several observations with models, and find that the models generally underestimate the observed variation in visibility with wavelength. We present CLV and visibility spectra for a model that is applicable to the M supergiant α Ori.