Deflection of the vertical and refraction in three-dimensional adjustment of terrestrial networks

Summary In this paper statistical tests are exploited in order to verify the hypotheses about the refraction and the deflection of the vertical pertaining to a geometrical model for the three-dimensional adjustment of terrestrial networks. The deflections of the vertical and the refraction coefficients can be assumed either as unknowns or fixed input data, at some or all the points of the network. The geometrical model, reported in the appendix for convenience, assumes as observables the slant distances, zenith and horizontal angles, without any reduction neither to the marks on the ground nor to the surface of reference. Further, the observation equations are derived and linearized in terms of Cartesian coordinates in Geocentric or Topocentric system; direction cosines of the vertical and of the ellipsoidal normal are adopted as the relevant direction parameters. Finally, an application to a network from Hradilek (1984), performed under different assumptions about the unknowns and the corrections of the angular observations due to the deflections of the vertical, shows the effectiveness of the proposed approach.     

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Search for Spatial Variability in the Solar Acoustic Spectrum

Motivated by the various examples of spatial variability in the power of the acoustic spectrum, we attempted to look for spatial variability in the peak frequency of the spectrum. However, the determination of this peak frequency on a spatial scale of a single pixel (8 arc sec for the GONG data) is limited by the stochastic variations in the power spectrum presumably caused by the stochastic nature of the excitation process. Averaging over a large number of spectra (100 spectra from a 10 × 10 pixel area) produced stabler spectra. The peak frequencies of 130 such locations were found to be distributed with a FWHM of about 130 Hz. A map of the spatial variation of this peak frequency did not show any strong feature with statistically significant deviation from the mean of the distribution. Likewise, the scatter in the peak frequencies masked the detection of magnetic-field-induced changes in the peak frequency. On a much larger scale, the N latitudes showed a slightly lower value of the peak frequency as compared to the S latitudes, although the difference (25 Hz) is barely larger than the r.m.s. spread (20 Hz).     

Franz Zorell †

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Franz Zorell

     

Consideration of the interaction between dam and bedrock in a coupled mechanic-hydraulic FE-program

Summary The behaviour of existing dams and some accidents have shown the great importance of the interaction between dam and bedrock with respect to mechanic and hydraulic effects.The mechanic and hydraulic properties of a fissured rock mass are mainly determined by the discontinuities. When their opening widths change due to stresses, the permeability is affected. This causes alterations in the piezometric head distribution which again affect the state of stress.The paper presents a new concept to take into account the mechanic-hydraulic interaction in a 3-dimensional Finite-Element-program. The concept is illustrated by an example (gravity dam).     

Asthenospheric parameters of dipping plate regions by magnetotelluric investigations

The multifrequency resolving capability of the electromagnetic surface impedance parameter, employed in magnetotelluric investigations, has been examined for an upper mantle model incorporating (1) a deep-seated lithosphere-asthenosphere boundary and (2) preferred orientations of olivine crystals in the lithosphere, usually associated with the subducting plate boundary zones. Numerical results display the quantitative errors in the resolution of various anisotropic and dipping plate conditions. It is found that (1) conductivity anisotropy, particularly with higher dips, causes a significant dispersion in the impedance values and higher resolving power, and (2) variations in the geometrical/physical parameters are reflected predominantly in the phase component of the surface impedance. The study has relevance to the understanding of the electrical nature of materials, its relationship with physical properties and associated geothermal and seismic activities in the dipping plate regions.