Continuation by integral equation methods: A note on surface integration over the double layer   总被引：1，自引：0，他引：1  

Richard D. Ray 《Pure and Applied Geophysics》1984,122(5):725-730

Upward continuation from a non-level surface may be performed by an integral equation method as shown previously by Bhattacharyya and Chan. Integration over the double layer is often computed using a centroid rule quadrature formula, but under certain circumstances more accurate formulae are required. One such formula may be found using a geometric approach. The result is equivalent to an expression recently published by Hansen and Miyazaki.  相似文献   

Dynamic analysis of structures using lanczos co-ordinates     

Bahram Nour-Omid  Ray W. Clough 《地震工程与结构动力学》1984,12(4):565-577

A procedure for deriving the Lanczos vectors is explained and their use in structural dynamics analysis as an alternative to modal co-ordinates is discussed. The vectors are obtained by an inverse iteration procedure in which orthogonality is imposed between the vectors resulting from successive iteration cycles. Using these Lanczos vectors the equations of motion are transformed to tridiagonal form, which provides for a very efficient time-stepping solution. The effectiveness of the method is demonstrated by a numerical example.  相似文献   

Spherically symmetric electromagnetic mass models with cosmological parameter ⋀     

Saibal Ray  Dipankar Ray 《Astrophysics and Space Science》1993,203(2):211-216

An exact solution has been obtained for the Einstein-Maxwell field equation with corresponding to a spherically-symmetric charged perfect fluid distribution. Here the cosmological constant is assumed to be a scalar variable depending on the radial coordinater of the spherical system, viz., = (r). The solution set thus obtained presents an electromagnetic mass model.  相似文献   

Sm-Nd Isotopic and Geochemical Study of the Archean Tonalite-Amphibolite association from the eastern Indian Craton     

Mukul Sharma  Asish R. Basu  Sagar L. Ray 《Contributions to Mineralogy and Petrology》1994,117(1):45-55

We report the results of a Sm-Nd isotopic, major element and rare earth element (REE) study of the Older Metamorphic Group (OMG) tonalite-amphibolite association of the eastern Indian Craton. The Older Metamorphic Tonalite Gneisses (OMTG) have been previously dated to be 3.8 Ga using Sm-Nd isotope systematies, and 3.2–3.4 Ga by Rb-Sr and Pb-Pb dating. The results of this study indicate that the protoliths of the OMG amphibolites are 3.3 Ga isochron age=3.30±0.06 Ga, _Nd= +0.9 ± 0.7), and therefore, the OMTG, which intrude into the associated amphibolites, cannot be any older than 3.3 Ga. The amphibolites display light REE enrichment ((Ce/Yb)_N=2.2–6.7; La=30–100 x chondrite) and nearly flat heavy REE patterns ((Tb/Lu)_N=1.2–1.9); the basaltic parents of the amphibolites were probably generated by the partial melting of a spinel lherzolite mantle. Strong linear relationships between the amphibolites and tonalites in ¹⁴⁷Sm/¹⁴⁴Nd-¹⁴³Nd/¹⁴⁴Nd space (isochron age =3.29±0.04 Ga, _Nd= +0.8 ± 0.8) imply that they are genetically related. The tonalites display fractionated REE patterns (La=100–300 x chondrite) with moderate heavy REE depletions ((Tb/Lu)_N=1.9–3.4). The isotopic, major element and REE data are consistent with the derivation of the OMTG from partial melting of OMG amphibolites or equivalent rocks at amphibolegarnet stabilization depths. An initial _Nd(t) value of +0.9±0.7 for the amphibolites indicates the presence of a slightly depleted mantle source at 3.3 Ga with ¹⁴⁷Sm/¹⁴⁴Nd. between 0.20 and 0.22. It is suggested that the growth of continental crust in the eastern Indian craton occurred in response to magmatic underplating in a plume setting.  相似文献   

Historical changes in heavy metals in the Yangtze Estuary, China   总被引：1，自引：0，他引：1  

Meng Yang  Ray Kostaschuk  Zhongyuan Chen 《Environmental Geology》2004,46(6-7):857-864

A 6-m-long core was used to examine historical changes in heavy metals on tidal flats in the Yangtze Estuary, China. Over the last 100 years, human impact was minimal. However, over the last few decades, vertical metal concentrations have been affected by human activities such as local industrialization, urbanization and construction of major sewage outlets. Copper, lead and arsenic were identified as contaminants in the Yangtze Estuary on the basis of national pollution standards and a comparison of metals in the upper core with those in the lower core.  相似文献   

Detection of Cyclic Patterns Using Wavelets: An Example Study in the Ormskirk Sandstone, Irish Sea     

Nestor A. Rivera  S. Ray  Jerry L. Jensen  Andrew K. Chan  Walter B. Ayers 《Mathematical Geology》2004,36(5):529-543

This study shows how wavelet analysis can be used on well log and drill core data to identify cyclicity in sedimentary sequences. Three possible methods for determining wavelength were investigated: the Morlet wavelet, the Fourier transform, and the semivariogram. When applied to several hypothetical signals similar to those observed in petrophysical measurements in hydrocarbon reservoirs, all three methods could identify the presence of cyclicity. Only the wavelet scalogram, however, gave a clear indication of when the cyclic element was present and where frequency changes occurred in the signal. To illustrate the wavelet analysis, we processed well log and core data from a well in the Ormskirk Sandstone and determined the wavelet coefficients for each zone and the wavelengths of the strongest cyclicities. The cyclicities observed corresponded well with sedimentary features of the formation (e.g., channels and channel sets). Also, ratios of the cyclicity wavelengths corresponded with ratios of the Milankovitch precession, obliquity, and eccentricity periods. This result is in agreement with other investigators, who have proposed that Milankovitch-driven climate changes exercised an important control on Ormskirk Sandstone deposition.  相似文献   

THE PACIFIC IN TRANSITION. GEOGRAPHICAL PERSPECTIVES ON ADAPTATION AND CHANGE. Edited by Harold Brookfield     

Ray  Watters 《New Zealand geographer》1976,32(2):198-200

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Hydromagnetic stability of coronal arcade structures: The effects of photospheric line tying     

Alak Ray  Gerard Van Hoven 《Solar physics》1982,79(2):353-364

A model is given of the magnetic-field equilibrium and possible dynamic excitations of a solar coronal arcade. Such structures are well observed in the spectral range from H to X-rays and often give rise to two-ribbon flares. However, the preflare state must be stable to ideal magnetohydrodynamic disturbances, and we treat this problem with particular attention to the necessary foot-point boundary conditions. Having devised a reasonably general perturbation set, we use an energy-principle analysis to show the strong stabilizing influence of inertial field-line tying at the photosphere.Address from October 1981: Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India.  相似文献   

Productivity optimisation in weak sedimentary formations for improved coal production and roof stability—an approach     

V. M. S. R. Murthy  Santosh Kumar Ray 《Geotechnical and Geological Engineering》2002,20(3):273-290

Far-field peak particle velocity (PPV) measurements were made in the roof while blasting in coal development drivages at Tandsi Mine, Western Coalfields Limited, India. The roof was fragile at this mine and was posing constant support problems for mining, resulting in low productivity. The PPV measurements have been used to decipher the damage zone in the roof. The extent of damage obtained has been compared to establish the threshold limits for the damage zone. Conversely, the maximum charge per delay that can be exploded is calculated and a suitable blast design has been recommended for maintaining the roof stability and pull. A roof vibration predictor equation has been developed that shows a consistent trend indicating that it may have future use in a similar geo-mining setup. The blast pattern recommended has reduced the damage extent, though marginally, but helped in improving pull. Critical PPV for incipient rock damage in underground coal mine development drivages under fragile roof were computed. The PPV level for incipient crack growth was found to vary from 500 to 800 mm/s while for overbreak it varied from 800 to 1200 mm/s. It was also observed that the location of cut holes, charge concentration and firing sequence were found to be responsible for the difference in their damage potential.  相似文献   

Short-arc analysis of intersatellite tracking data in a gravity mapping mission   总被引：1，自引：0，他引：1  

D. D. Rowlands  R. D. Ray  D. S. Chinn  F. G. Lemoine 《Journal of Geodesy》2002,76(6-7):307-316

 A technique for the analysis of low–low intersatellite range-rate data in a gravity mapping mission is explored. The technique is based on standard tracking data analysis for orbit determination but uses a spherical coordinate representation of the 12 epoch state parameters describing the baseline between the two satellites. This representation of the state parameters is exploited to allow the intersatellite range-rate analysis to benefit from information provided by other tracking data types without large simultaneous multiple-data-type solutions. The technique appears especially valuable for estimating gravity from short arcs (e.g. less than 15 minutes) of data. Gravity recovery simulations which use short arcs are compared with those using arcs a day in length. For a high-inclination orbit, the short-arc analysis recovers low-order gravity coefficients remarkably well, although higher-order terms, especially sectorial terms, are less accurate. Simulations suggest that either long or short arcs of the Gravity Recovery and Climate Experiment (GRACE) data are likely to improve parts of the geopotential spectrum by orders of magnitude. Received: 26 June 2001 / Accepted: 21 January 2002  相似文献