End-point contributions to synthetic seismograms

Summary . Synthetic seismograms represented by integrals generally display signals associated with the limits of integration. Sometimes these 'end-point' contributions are spurious (e.g. in the WKBJ seismogram) and sometimes they are the main physical interest (e.g. the Kirchhoff integral for an edge). The end-point contributions may be asymptotically approximated using integration by parts or Laplace's method and it may then be possible to reduce them if desired. We describe examples in the WKBJ seism ogram for reflected or transmitted waves in homogeneous layers and for turning waves. We also study signals due to discontinuities in reflection coefficients, by partitioning the real slowness integral so that the discontinuities lie at end points. Examples are the head wave, which is a physically correct signal, and spurious diffractions caused by using plane-wave coefficients for grazing rays in the WKBJ seismogram.     

Application of the Maslov Seismogram Method in Three Dimensions

Asymptotic methods provide an efficient way to compute seismograms in heterogeneous media. However, zeroth-order ray theory, the simplest of the asymptotic methods, often fails because of the presence of caustics. Maslov theory is an extension of zeroth-order ray theory, which gives a uniformly valid expression of the wavefield everywhere, including the caustics. This result is given in terms of an integral of ray data over one or two ray parameters. It is shown in this paper how geometrical arrivals are constructed in the one and two-parameter Maslov integrals.In practice Maslov seismograms have been computed using only one ray parameter. However, in three-dimensional media two parameters are needed to uniquely define a ray. In this paper we present an efficient algorithm to compute two-parameter Maslov integrals. The Maslov integral is evaluated by computing the frequency-to-time Fourier transform prior to integration over the ray parameters. The wavefield is then discretized by smoothing with a boxcar function. The resulting expression, which only requires the results of ordinary kinematic and dynamic ray tracing, cen be computed efficiently and robustly. A numerical example is given that illustrates the use of this algorithm.     

Abstract databases as information sources in economic geography

The limitations of existing information sources on mergers/acquisitions within the EU are a serious obstacle to the study of the restructuring of the European production system. The experience of using a computerized abstracting service as a source of information on mergers/acquisitions in the chemical industry is reviewed. This experience informs an assessment of the strengths and weaknesses of similar databases as information sources in economic geography. The proliferation of such databases, together with advances in text management software, suggests that their potential has not been fully appreciated. This potential is considerable in providing easy access to detailed factual information on economic events and processes at continental and global scales. It is, however, strictly limited when it comes to interpreting the corporate strategies and motivations responsible for these developments.     

Digital Photogrammetry for Automatic Close Range Measurement of Textureless and Featureless Objects

Diffraction grating based simultaneous projection of a large number of distinct and circular laser dots was adopted to solve correspondence and accuracy problems during automatic three dimensional measurement of a textureless and featureless object at close range. After rigid placement of the projector over the telescope of a geodimeter, accurate calibration and derivation of a camera model of the virtual active camera (the projector) was done without a control field and using a bundle adjustment procedure. While automatic detection and labelling of the actively placed target points over any given object remained a problem, algorithms were developed to locate and label these target points placed over a nearly flat and textureless surface. A conventional thresholding method was combined with least squares matching (LSM) to provide automatic subpixel image co-ordinate measurement of the target points placed over a textureless object but, considering the real object conditions, semi-automatic image co-ordinate measurement was done by LSM. The system provided an intersection parallax of 0.3 mm during a laboratory test scan of a planar object at 4.5 m distance.     

Some statistics concerning the daily geomagnetic character figureCp

Summary The frequency distribution ofCp over its range 0 to 2.5 has been determined and is discussed for groups of days selected according to (a) calendar month and (b) season (D, E, J)—1932–1965 inclusive—and for each of eleven year-groups selected in various ways on the basis of the annual mean sunspot number. For each group the median, mean and root-mean-square value ofCp has been found. The results favor the equinoctial hypothesis for the semi-annual variation of geomagnetic disturbance.     

The age and origin of younger granitic plutons of the Shaw Batholith in the Archaean Pilbara Block,Western Australia

The whole-rock Pb-Pb method has been used to date four of the younger, mainly adamellite, late-tectonic plutonic phases within the ca. 3.5 Ga Shaw Batholith of the Archaean east Pilbara Block. Three suites give ages within error of 2966 Ma (Porphyritic Granites at 2948±50 Ma, Leuco-adamellites at 2943±46 Ma and Garden Creek Adamellite at 3007±48 Ma). The post-tectonic Cooglegong Adamellite gives an age of 2847±34 Ma. The Sm-Nd model isotopic systematics of all four suites indicate derivation from crust ranging between ca. 3200 and 3600 Ma in age. The sources for these four younger plutonic phases were heterogeneous and, although exhibiting some isotopic characteristics of the older (3.5–3.3 Ga) calc-alkali plutonic suites, were more depleted in the LIL elements Rb, U and Th. In addition, the Garden Creek Adamellite and the Cooglegong Adamellite lack the very fractionated and HREE-depleted REE patterns characteristic of both the older calc-alkali plutonic rocks and the Porphyritic Granites and Leuco-adamellites. The crust underlying the Shaw Batholith at ca. 2950 Ma must have been both markedly heterogeneous and variably depleted, a conclusion consistent with the complex tectonic and plutonic evolution of this region.