Development of the second-order derivatives of the Earth’s potential in the local north-oriented reference frame in orthogonal series of modified spherical harmonics

The second-order derivatives of the Earth’s potential in the local north-oriented reference frame are expanded in series of modified spherical harmonics. Linear relations are derived between the spectral coefficients of these series and the spectrum of the geopotential. On the basis of these relations, recurrence procedures are developed for evaluating the geopotential coefficients from the spectrum of each derivative and, inversely, for simulating the latter from a known geopotential model. Very simple structure of the derived expressions for the derivatives is convenient for estimating the geopotential coefficients by the least-squares procedure, at a certain step of processing satellite gradiometry data. Due to the orthogonality of the new series, the quadrature formula approach can be also applied, which allows avoidance of aliasing errors caused by the series truncation. The spectral coefficients of the derivatives are evaluated on the basis of the derived relations from the geopotential models EGM96 and EIGEN-CG01C at a mean orbital sphere of the GOCE satellite. Various characteristics of the spectra are studied corresponding to the EGM96 model. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

全球大气能量演变及其与太阳活动的关系

利用1979—2010年间的JRA-25再分析资料、太阳常数观测资料,重现了1979—2010年间的各能量的时间序列,并对整层大气、对流层大气和平流层大气这3个大气层能量的演变规律及其与太阳活动的关系进行了分析。结果表明:(1)整层大气的总能量和对流层大气的总能量,两者都存在一个显著的3.7 a的周期;而平流层大气的总能量具有一个显著的11~22 a的振荡周期;平流层大气对太阳活动的响应,与对流层大气对太阳活动的响应有所不同:平流层大气的总能量的变化略落后于太阳常数的变化,但是整层大气和对流层大气的总能量的变化均是超前于太阳常数的变化。(2)整层大气、对流层大气和平流层大气这3个层次的总能量和太阳常数分别具有显著的4~11 a的共振周期、5.5~7.3 a的共振周期和3.7~11 a的共振周期。     

At‐a‐station hydraulic geometry relations, 2: calibration and testing

Using a large number of data sets obtained from various sources, the geometric relations derived in Part 1 are calibrated and verified using the split sampling approach. The calibration of parameters shows that the change in stream power is not shared equally among hydraulic variables and that the unevenness depends on the boundary conditions to be satisfied by the channel under consideration. The agreement between the observed values of the hydraulic variables and those predicted by the derived relations is close for the verification data set and lends credence to the hypotheses employed in this study. Copyright © 2007 John Wiley & Sons, Ltd.     

广西防城-灵山断裂带活动性分段与潜在震源区划分研究

本文通过对广西防城-灵山断裂带的地质地貌调查,结合地震活动资料,将该断裂带划分为活动性不同的4个段落,自南向北依次为防城段、平吉盆地段、灵山段和石南段。并在此基础上,划分了相应的潜在震源区,潜在震源区边界与分段边界一致,震级上限依次为6级、6．5级、7级和6级。     

华东地区大震前的地震平静及发震模式研究

Wyss 等人的地震平静理论是一种较系统的、目前较为广泛认同的平静理论。根据该平静理论, 以累计频度定量计算方法对华东地区( 苏、鲁、沪、皖, 黄海) 1970 年以来大震前的平静现象进行了研究, 并对该地区MS ≥5.5 地震的发震模式进行了探讨。结果表明, 多数震例在震前出现了平静异常, 平静异常大多出现在震前半年至一年内, 发震模式形式多样, 说明了震源区及其邻近断层结构的不均匀和复杂程度的差异。     

Propagation of oblique waves over small bottom undulation in an ice-covered two-layer fluid

Scattering of oblique incident waves by small bottom undulation in a two-layer fluid, where the upper layer has a thin ice-cover while the lower one has the undulation, is investigated within the framework of linearized water wave theory. The ice-cover is being modeled as an elastic plate of very small thickness. There exist two modes of time-harmonic waves–one with lower wave number propagating along the ice-cover (ice-cover mode) and the other with higher wave number along the interface (interfacial mode). A perturbation analysis is employed to solve the corresponding boundary value problem governed by modified Helmholtz equation and thereby evaluating the reflection and transmission coefficients approximately up to first order for both modes. A patch of sinusoidal ripples, having two different wave numbers over two consecutive stretches, is considered as an example and the related coefficients are determined. It is observed that when the wave is incident on the ice-cover surface we always find energy transfer to the interface, but for interfacial incident waves there are parameter ranges for which no energy transfer to the ice-cover surface is possible. Also it is observed that for small angles of incidence, the reflected energy is more as compared to the other angles of incidence. These results are demonstrated in graphical form. From the derived results, the solutions for problems with free surface can be obtained as particular cases.     

Oblique surface wave propagation over a small undulation on the bottom of an ocean

The problem of oblique water wave diffraction by small undulation of the bottom of a laterally unbounded ocean is considered using linear water wave theory. A perturbation analysis is employed to obtain the velocity potential, the reflection and the transmission coefficients up to the first order in terms of integrals involving the shape functions c(x) representing the bottom undulation. Finite cosine transform is used to find the first order potential, and this potential is utilised in obtaining the first order reflection and transmission coefficients. Some particular forms of the shape function representing an exponentially damped undulation, a single hump and a patch of sinusoidal ripples are considered and the integrals for the reflection and transmission coefficients are evaluated. For the exponentially damped undulation, it is observed that the reflection ceases much before transmission while for the single hump, reflection and transmission go hand in hand up to a certain value of the wavenumber, after which they vanish. For the patch of sinusoidal ripples having the same wavenumber, the reflection coefficient up to the first order is found to be an oscillatory function in the quotient of twice the component of the wavenumber along x-axis and the ripple wavenumber. When this quotient becomes one, the theory predicts a resonant interaction between the bed and free surface, and the reflection coefficient becomes a multiple of the number of ripples. High reflection of the incident wave energy occurs if this number is large. Also, when a patch of ripples having different wavenumbers is considered the same result follows. Known results for the normal incidence are recovered as special cases for the patch of sinusoidal ripples. The theoretical observations are shown computationally.     

Response of shear wave from a corrugated interface between elastic solid/viscoelastic half‐spaces

The propagation of plane shear wave at a corrugation interface between elastic solid and viscoelastic liquid half‐spaces has been investigated. Adopting Rayleigh's method of approximation, the reflection and refraction coefficients corresponding to reflected and refracted SH‐waves have been derived for the first order of approximation of the corrugated interface. These coefficients are derived in the closed form for a periodic interface. Numerical computation has been performed for a particular model and the results are depicted graphically. The results of Asano (Bull. Earthquake Res. Inst. 1960; 38 (2):177–197) and Kielczynski and Pajewski (J. Acoust. Soc. Am. 1987; 81 (3):599–605) are recovered from this study. Copyright © 2010 John Wiley & Sons, Ltd.     

渤海海域郯庐断裂带新生代活动方式与演化规律——以青东凹陷为例

青东凹陷东边界为郯庐断裂带在渤海海域内西支断裂所在,平面上由4条北北东向断裂呈左阶雁列式排列,剖面上以上盘下降为主,局部具有张扭性和压扭性花状构造现象。青东凹陷东界上的郯庐断裂新生代经历了古近纪右行平移正断层活动、古近纪末盆地挤压反转中的逆右行平移、新近纪的弱拉张活动和第四纪以来的逆右行平移4个演化阶段。古近纪断陷期,先存的郯庐断裂带由于具有较低的强度,在南北向伸展应力场作用下复活并表现为具有右行平移分量的斜向拉张活动,在浅部新生4条左阶雁列式断层,并与盆地内北西向基底断裂系统和东西向新生正断层共同控制了古近系的沉积格局。古近纪末发生了盆地反转,结束了断陷盆地发育阶段,在北东东-南西西向区域挤压应力作用下郯庐断裂表现为逆右行平移活动。新近纪坳陷阶段,盆地内构造活动较弱,主要受控于岩石圈热沉降作用,但郯庐断裂仍具有较弱的伸展活动。第四纪以来,郯庐断裂再次转变为逆右行平移活动。     

云南香格里拉红山地区多金属矿床特征及成矿模式

红山铜钼铅锌银金多金属矿区位于扬子西缘多岛—弧—盆系之印支期义敦岛弧带内.矿区主要出露上三叠统曲嘎寺组地层,岩浆活动强烈.燕山晚期酸性岩浆活动是该区多金属矿床形成的主要成矿作用,并有后期成矿作用叠加复合成矿.并依据矿化、蚀变及成矿的分带性特征,初步建立起斑岩—矽卡岩—热液脉型的综合成矿模式.