THE SPECTRAL FUNCTION OF A LAYERED SYSTEM AND THE DETERMINATION OF THE WAVEFORMS AT DEPTH*     

E. A. ROBINSON  S. TREITEL 《Geophysical Prospecting》1977,25(3):434-459

Consider the mathematical model of a horizontally layered system subject to an initial downgoing source pulse in the upper layer and to the condition that no upgoing waveforms enter the layered system from below the deepest interface. The downgoing waveform (as measured from its first arrival) in each layer is necessarily minimum-phase. The net downgoing energy in any layer, defined as the difference of the energy spectrum of the downgoing wave minus the energy spectrum of the upgoing wave, is itself in the form of an energy spectrum, that is, it is non-negative for all frequencies. The z-transform of the autocorrelation function corresponding to the net downgoing energy spectrum is called the net downgoing spectral function for the layer in question. The net downgoing spectral functions of any two layers A and B are related as follows: the product of the net downgoing spectral function of layer A times the overall transmission coefficient from A to B equals the product of the net downgoing spectral function of layer B times the overall transmission coefficient from B to A. The net downgoing spectral function for the upper layer is called simply the spectral function of the system. In the case of a marine seismogram, the autocorrelation function corresponding to the spectral function can be used to recursively generate prediction error operators of successively increasing lengths, and at the same time the reflection coefficients at successively increasing depths. This recursive method is mathematically equivalent to that used in solving the normal equations in the case of Toeplitz forms. The upgoing wave-form in any given layer multiplied by the direct transmission coefficient from that layer to the surface is equal to the convolution of the corresponding prediction error operator with the surface seismogram. The downgoing waveform in this given layer multiplied by the direct transmission coefficient from that layer to the surface is equal to the convolution of the corresponding hindsight error operator (i.e., the time reverse of the prediction error operator) with the surface seismogram.  相似文献   

OPTIMUM DIGITAL FILTERS FOR SIGNAL TO NOISE RATIO ENHANCEMENT*     

SVEN TREITEL  ENDERS A. ROBINSON 《Geophysical Prospecting》1969,17(3):248-293

One of the main objectives of seismic digital processing is the improvement of the signal-to-noise ratio in the recorded data. Wiener filters have been successfully applied in this capacity, but alternate filtering devices also merit our attention. Two such systems are the matched filter and the output energy filter. The former is better known to geophysicists as the crosscorrelation filter, and has seen widespread use for the processing of vibratory source data, while the latter is. much less familiar in seismic work. The matched filter is designed such that ideally the presence of a given signal is indicated by a single large deflection in the output. The output energy filter ideally reveals the presence of such a signal by producing a longer burst of energy in the time interval where the signal occurs. The received seismic trace is assumed to be an additive mixture of signal and noise. The shape of the signal must be known in order to design the matched filter, but only the autocorrelation function of this signal need be known to obtain the output energy filter. The derivation of these filters differs according to whether the noise is white or colored. In the former case the noise autocorrelation function consists of only a single spike at lag zero, while in the latter the shape of this noise autocorrelation function is arbitrary. We propose a novel version of the matched filter. Its memory function is given by the minimum-delay wavelet whose autocorrelation function is computed from selected gates of an actual seismic trace. For this reason explicit knowledge of the signal shape is not required for its design; nevertheless, its performance level is not much below that achievable with ordinary matched filters. We call this new filter the “mini-matched” filter. With digital computation in mind, the design criteria are formulated and optimized with time as a discrete variable. We illustrate the techniques with simple numerical examples, and discuss many of the interesting properties that these filters exhibit.  相似文献   

A Test for Directional Bias in Intraurban Migration     

J. S. WHITELAW  S. ROBINSON 《New Zealand geographer》1972,28(2):181-193

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Diamond Discovered in High-Al Chromitites of the Sartohay Ophiolite, Xinjiang Province, China   总被引：1，自引：0，他引：1  

TIAN Yazhou  YANG Jingsui  Paul T. ROBINSON  XIONG Fahui  LI Yuan  ZHANG Zhongming  LIU Zhao  LIU Fei  NIU Xiaolu 《《地质学报》英文版》2015,89(2):332-340

In recent years diamonds and other exotic minerals have been recovered from mantle peridotites and high-Cr chromitites of a number of ophiolites of different age and different tectonic environments. Here we report a similar collection of minerals from the Sartohay ophiolite of Xinjiang Province,western China,which is characterized by having high-Al chromitites. Several samples of massive podiform chromitite with an aggregate weight of nearly 900 kg yielded diamonds,moissanite and other highly reduced minerals,as well as common crustal minerals. Thus far,more than 20 grains each of diamond and moissanite have been recovered from heavy mineral separates of the chromitites. The diamonds are all 100-200 μm in size and range in color from pale yellow to reddish-orange to colorless. Most of the grains are anhedral to subhedral octahedra,commonly with elongate forms exhibiting well-developed striations. They all display characteristic Raman spectra with shifts between 1325 cm-1 and 1333 cm-1,mostly 1331.51 cm-1 or 1326.96 cm-1. The moissanite grains are light blue to dark blue,broken crystals,50-150 μm across,commonly occurring as small flakes or fragments. Their typical Raman spectra have shifts at 762 cm-1,785 cm-1,and 966 cm-1. This investigation extends the occurrence of diamonds and moissanite to a Paleozoic ophiolite in the Central Asian Orogenic Belt and demonstrates that these minerals can also occur in high-Al chromitites. We conclude that diamonds and moissanite are likely to be ubiquitous in ophiolitic mantle peridotites and chromitites.  相似文献   

The Discovery of Diamonds in Chromitites of the Hegenshan Ophiolite, Inner Mongolia, China   总被引：1，自引：0，他引：1  

HUANG Zhu  YANG Jingsui  Paul T. ROBINSON  ZHU Yongwang  XIONG Fahui  LIU Zhao  ZHANG Zhongming  XU Wei 《《地质学报》英文版》2015,89(2):341-350

Diamond,moissanite and a variety of other minerals,similar to those reported from ophiolites in Tibet and northern Russia,have recently been discovered in chromitites of the Hegenshan ophiolite of the Central Asian Orogenic Belt,north China. The chromitites are small,podiform and vein-like bodies hosted in dunite,clinopyroxene-bearing peridotite,troctolite and gabbro. All of the analysed chromite grains are relatively Al-rich,with Cr# [100Cr/(Cr+Al)] of about 47–53. Preliminary studies of mainly disseminated chromitite from ore body No. 3756 have identified more than 30 mineral species in addition to diamond and moissanite. These include oxides(mostly hematite,magnetite,rutile,anatase,cassiterite,and quartz),sulfides(pyrite,marcasite and others),silicates(magnesian olivine,enstatite,augite,diopside,uvarovite,pyrope,orthoclase,zircon,sphene,vesuvianite,chlorite and serpentine) and others(e.g.,calcite,monazite,glauberite,iowaite and a range of metallic alloys). This study demonstrates that diamond,moissanite and other exotic minerals can occur in high-Al,as well as high-Cr chromites,and significantly extends the geographic and age range of known diamond-bearing ophiolites.  相似文献   

Geological Evidence does not Support a Shallow Origin for Diamonds in Ophiolite     

YANG Jingsui  LIAN Dongyang  Paul T ROBINSON  QIU Tian  XIONG Fahui  WU Weiwei 《《地质学报》英文版》2020,94(Z1):70-72

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Geochemical Characterizations of Source and Depositional Environment of Hydrocarbons in the Lake Albert Rift Basin     

YU Yixin  PENG Wenxu  SHI Shengbao  SUN Hefeng  LU Man  SHANG Peng  Delores ROBINSON  LU Yuehan 《《地质学报》英文版》2022,96(1):261-272

Despite the upsurge in hydrocarbon exploration in the Lake Albert Rift Basin(LARB)over the past three decades,systematic characterization of hydrocarbon compositions remains lacking,leading to uncertainties in source rock and oil generation determination.We characterized crude oil compositions and oil sand samples in the northern and southern subbasins of LARB.The relative abundance of normal and branched linear alkanes,hopanes,steranes,and aromatic hydrocarbon suggest that northern and southern hydrocarbons were deposited in anoxic to suboxic lacustrine environments and share similar biological source compositions(i.e.,a mixture of plants and aquatic algae and bacteria).Relative to southern samples,northern samples show more negative δ¹³C values for oils,saturates and aromatics,indicating longer migration paths,and exhibit higher MPI-1,DNR-1 and 4-/1-MDBT ratios,indicating higher maturity.Between the two possible sets of source rocks(upper Miocene and Jurassic strata),the positive δ¹³C values of saturated hydrocarbons(average=-20.5‰)suggest that the upper Miocene lacustrine shale is the most likely candidate.Oleanane index(<5% in our samples)does not exclude either source rock possibility,and C₂₈/C₂₉ regular sterane(average=0.63)may be biased by high terrestrial inputs in a lacustrine setting.Together,our data show that northern and southern oils originate from the same source rocks but different oil kitchens.Given the similar geochemical characteristics of southern and northern oils,previous exploration successes in the northern subbasin likely suggest similar potential in the southern sector,while other elements influencing exploration success must be also evaluated.  相似文献   

A comparison of the hydrology of moorland under natural conditions,agricultural use and forestry     

MARK ROBINSON  BEATE GANNON  MAX SCHUCH 《水文科学杂志》2013,58(6):565-577

Abstract

Long term research has been conducted into the hydrological effects of different land usage of a wetland mire in southern Germany. Drainage for agriculture lowered the water table and reduced evaporation from about 110% of open water losses to just under the Penman short grass potential rate. The runoff regime was altered and peak flows increased. Afforestation of agricultural land increased evaporation losses to much higher levels than open water evaporation, and annual runoff was nearly halved. Forest growth reduced soil water and baseflows. Peak flows became smaller; the rate of reduction was particularly rapid in the early years of tree growth.  相似文献   

Compositional variations in mafic phyllosilicates from regional low-grade metabasites and application of the chlorite geothermometer   总被引：5，自引：0，他引：5  

R. E. BEVINS  D. ROBINSON  G. ROWBOTHAM 《Journal of Metamorphic Geology》1991,9(6):711-721

Abstract Mafic phyllosilicates in metabasites affected by low-grade regional metamorphism from Wales and eastern North Greenland show variations in their structure and chemistry. These variations are related to four mineral zones in these metabasites, which are recognized on the presence/absence of various key calc-silicate minerals and also actinolite. Zones 1 and 2 equate with the zeolite facies, zone 3 with the prehnite–pumpellyite facies (or prehnite–actinolite facies in rocks with appropriate bulk rock composition) and zone 4 with the greenschist facies. Whilst variations in Fe/(Fe + Mg) in chlorite correlate closely with Fe/(Fe + Mg) ratios in the whole-rock, other chemical variations are clearly unrelated to whole-rock compositions. Contents of Al^iv are seen to increase systematically in samples from zone 1 through to zone 4, which relate to an increase in temperature. Calibration of alteration temperatures, calculated using the chlorite geothermometer (based on Al^iv contents) developed for meta-andesites in the Los Azufres geothermal system (Mexico), against x values (an estimate of the proportion of chlorite to swelling component in the mafic phyllosilicates) shows a decrease in the swelling component in passing from zone 1 to zone 4, i.e. with an increase in temperature. Calculated temperatures compare favourably with published stability estimates for the various key calc-silicates and actinolite. These data indicate that the chlorite geothermometer, although developed for meta-andesites from a hydrothermal system, does show a correlation with temperatures estimated from calc-silicate assemblages in metabasites affected by low-grade metamorphism developed on a regional scale.  相似文献   

豆荚状铬铁矿成因的新模式     

熊发挥  杨经绥  Paul T. ROBINSON  郭国林  刘钊  陈松永  徐向珍  李源 《地质学报》2013,87(Z1):17-17

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