Rain‐gauge network evaluation and augmentation using geostatistics     

Ke‐Sheng Cheng  Yun‐Ching Lin  Jun‐Jih Liou 《水文研究》2008,22(14):2554-2564

Rain‐gauge networks are often used to provide estimates of area average rainfall or point rainfalls at ungauged locations. The level of accuracy a network can achieve depends on the total number and locations of gauges in the network. A geostatistical approach for evaluation and augmentation of an existing rain‐gauge network is proposed in this study. Through variogram analysis, hourly rainfalls are shown to have higher spatial variability than annual rainfalls, with hourly Mei‐Yu rainfalls having the highest spatial variability. A criterion using ordinary kriging variance is proposed to assess the accuracy of rainfall estimation using the acceptance probability defined as the probability that estimation error falls within a desired range. Based on the criterion, the percentage of the total area with acceptable accuracy A_p under certain network configuration can be calculated. A sequential algorithm is also proposed to prioritize rain‐gauges of the existing network, identify the base network, and relocate non‐base gauges. Percentage of the total area with acceptable accuracy is mostly contributed by the base network. In contrast, non‐base gauges provide little contribution to A_p and are subject to removal or relocation. Using a case study in northern Taiwan, the proposed approach demonstrates that the identified base network which comprises of approximately two‐thirds of the total rain‐gauges can achieve almost the same level of performance (expressed in terms of percentage of the total area with acceptable accuracy) as the complete network for hourly Mei‐Yu rainfall estimation. The percentage of area with acceptable accuracy can be raised from 56% to 88% using an augmented network. A threshold value for the percentage of area with acceptable accuracy is also recommended to help determine the number of non‐base gauges which need to be relocated. Copyright © 2007 John Wiley & Sons, Ltd.  相似文献   

Metamorphic evolution of kyanite–staurolite-bearing epidote–amphibolite from the Early Palaeozoic Oeyama belt, SW Japan     

T. Tsujimori  J. G. Liou 《Journal of Metamorphic Geology》2004,22(4):301-313

Early Palaeozoic kyanite–staurolite‐bearing epidote–amphibolites including foliated epidote–amphibolite (FEA), and nonfoliated leucocratic or melanocratic metagabbros (LMG, MMG), occur in the Fuko Pass metacumulate unit (FPM) of the Oeyama belt, SW Japan. Microtextural relationships and mineral chemistry define three metamorphic stages: relict granulite facies metamorphism (M1), high‐P (HP) epidote–amphibolite facies metamorphism (M2), and retrogression (M3). M1 is preserved as relict Al‐rich diopside (up to 8.5 wt.% Al₂O₃) and pseudomorphs after spinel and plagioclase in the MMG, suggesting a medium‐P granulite facies condition (0.8–1.3 GPa at > 850 °C). An unusually low‐variance M2 assemblage, Hbl + Czo + Ky ± St + Pg + Rt ± Ab ± Crn, occurs in the matrix of all rock types. The presence of relict plagioclase inclusions in M2 kyanite associated with clinozoisite indicates a hydration reaction to form the kyanite‐bearing M2 assemblage during cooling. The corundum‐bearing phase equilibria constrain a qualitative metamorphic P–T condition of 1.1–1.9 GPa at 550–800 °C for M2. The M2 minerals were locally replaced by M3 margarite, paragonite, plagioclase and/or chlorite. The breakdown of M2 kyanite to produce the M3 assemblage at < 0.5 GPa and 450–500 °C suggests a greenschist facies overprint during decompression. The P–T evolution of the FPM may represent subduction of an oceanic plateau with a granulite facies lower crust and subsequent exhumation in a Pacific‐type orogen.  相似文献   

Impact of absorbing aerosol deposition on snow albedo reduction over the southern Tibetan plateau based on satellite observations     

Lee  Wei-Liang  Liou  K. N.  He  Cenlin  Liang  Hsin-Chien  Wang  Tai-Chi  Li  Qinbin  Liu  Zhenxin  Yue  Qing 《Theoretical and Applied Climatology》2017,129(3-4):1373-1382

We investigate the snow albedo variation in spring over the southern Tibetan Plateau induced by the deposition of light-absorbing aerosols using remote sensing data from moderate resolution imaging spectroradiometer (MODIS) aboard Terra satellite during 2001–2012. We have selected pixels with 100 % snow cover for the entire period in March and April to avoid albedo contamination by other types of land surfaces. A model simulation using GEOS-Chem shows that aerosol optical depth (AOD) is a good indicator for black carbon and dust deposition on snow over the southern Tibetan Plateau. The monthly means of satellite-retrieved land surface temperature (LST) and AOD over 100 % snow-covered pixels during the 12 years are used in multiple linear regression analysis to derive the empirical relationship between snow albedo and these variables. Along with the LST effect, AOD is shown to be an important factor contributing to snow albedo reduction. We illustrate through statistical analysis that a 1-K increase in LST and a 0.1 increase in AOD indicate decreases in snow albedo by 0.75 and 2.1 % in the southern Tibetan Plateau, corresponding to local shortwave radiative forcing of 1.5 and 4.2 W m⁻², respectively.

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THE NARAGH METEORITE: A NEW OLIVINE-BRONZITE CHONDRITE FALL     

D. Adib  J.G. Liou 《Meteoritics & planetary science》1979,14(3):257-272

At 9:20 A.M. on August 18, 1974, a stony meteorite of approximately 3200 grams struck the roof of a secondary school at Naragh, Central Iran, (51°30′E, 33°45′N). The ellipsoidal dark-gray meteorite was 17 × 15 × 13 cm (density 3.62 gr/cm³). XRF and wet chemical analysis yields the bulk composition of the meteorite as follows in weight percent: Fe 11.95, Ni 1.05, Co 0.07, FeS 5.49, SiO₂ 37.15, TiO₂ 0.15, Al₂O₃ 2.43, Cr₂O₃0.62, FeO 14.25, MnO 0.23, MgO 23.79, CaO 1.61, Na₂O 0.92, K₂O 0.08, P₂O₅ 0.26. Modal mineral contents (in volume percent) are olivine 40, orthopyroxene 25, clinopyroxene 3, plagioclase 10.5, chromite 0.80, phosphate 0.70, troilite 6, metal phases 14. The meteorite is fine-grained, with average grain size about 0.4–0.6 mm and contains numerous recrystallized glassy chondrules. Olivine occurs as laths and radiating crystals in chondrules and as coarse-grained phenocrysts and interstitial microcrystalline grains in the matrix. These olivines have relatively uniform composition (Fo_80–82Fa_20–18). Fine-grained skeletal orthopyroxenes of average composition (En₁₆Fs₈₂Wo₀₁) are inter-grown with olivine in both chondrules and matrix. Clinopyroxene and plagioclase of average composition (En_6.5Fs₄₈Wo_45.5) and (Ab₈₂An₁₂Or₀₆) respectively, are evenly distributed in the matrix, together with kamacite (Fe_92–95), plessite (Fe_69.6–82.2) and taenite (Fe_46.7–66.1), troilite (Ni-free) and chromite grains. The high ratios of total Fe to SiO₂ of 0.71, metallic Fe to total Fe of 0.54, and SiO₂ to MgO of 1.56 in the bulk composition, the Fa component of olivine grains of 17.5–19.6, and the high Ca content of orthopyroxenes between 0.53 and 0.87 wt % suggest that the Naragh meteorite belongs to the H-group and petrologic type 6 of Van Schmus and Wood (1967) classification. In addition, the occurrence of fine-grained clear sodic plagioclase, the presence of numerous recrystallized chondrules with homogeneous silicate minerals, and the absence of Ni in the sulfide phase indicate that the Naragh meteorite has been metamorphosed after the initial crystallization in the parental body.  相似文献   

Low δO zircons, U-Pb dating, and the age of the Qinglongshan oxygen and hydrogen isotope anomaly near Donghai in Jiangsu Province, China     

Douglas Rumble  David GiorgisTrevor Ireland  Zeming ZhangHuifen Xu  T.F. YuiJingsui Yang  Zhiqin XuJ.G. Liou 《Geochimica et cosmochimica acta》2002,66(12):2299-2306

Zircons from metamorphosed granites exposed near Qinglongshan have δ¹⁸O_VSMOW values of −7 to 0‰ in both grain rims and cores. The concordant ²³⁸U/²⁰⁶Pb ages of zircon cores are 684 to 754 Ma with rims at 221 Ma. Discordant ²³⁸U/²⁰⁶Pb ages range from 242 to 632 Ma. Results demonstrate a Neoproterozoic age for the origin of the Qinglongshan oxygen and hydrogen isotope anomaly. The low δ¹⁸O values were imprinted on the rocks by a hydrothermal system charged with meteoric water from a cold climate. Groundwater circulation was driven by heat from cooling granitic magma. The geologic age of the hydrothermal system correlates with that of the Nantuo tillite in the Sinian strata of the South China block, suggesting that Qinglongshan’s cold climate may be a manifestation of Neoproterozoic “snowball Earth.”  相似文献   

Analcime equilibria     

J. G. Liou 《Lithos》1971,4(4):389-402

The stability fields of analcime and analcime+quartz have been investigated using conventional hydrothermal techniques, over the approximate range of conditions 160–600 °C and 500–5000 bars fluid pressure. The dehydration of analcime (Na₂Al₂Si_3·3O_11·6 · nH₂O) to albite, nepheline and H₂O occurs at temperatures of 492±5 °C at 500 bars, 538±5 °C at 1000 bars, 578±5 °C at 2000 bars and 598±5 °C at 3000 bars. In the presence of quartz, analcine dehydrates to highly disordered albite and H₂O at about 200 °C and 2000 bars, 196°±5 °C and 3000 bars, about 190 °C and 4000 bars, and 183±5 °C at 5000 bars P_fluid. The synthetic phase equilibria appear to be compatible with field observations that primary analcimes occur as phenocrysts or in groundmass in some volcanic and hypabyssal rocks and secondary analcimes in sedimentary, hydrothermally altered and low-grade metamorphic rocks.  相似文献   

Long wave reflection from submerged trapezoidal breakwaters   总被引：1，自引：0，他引：1  

Hsien-Kuo Chang  Jin-Cheng Liou 《Ocean Engineering》2007,34(1):185-191

This study addresses the reflection and transmission of long waves from a trapezoidal breakwater and a series of trapezoidal breakwaters, using the matching method. A systematic shape transfer is derived to determine wave reflection and transmission. The peak Bragg reflection of long waves from a series of trapezoidal breakwaters is shifted toward low frequency. In spite of the spacing between any pair of breakwaters, the top plane width and the arrangement of the series of breakwaters are found to be the two major parameters in designing multiply composite Bragg breakwaters.  相似文献   

Ice cloud microphysics,radiative transfer and large-scale cloud processes     

Prof. K. N. Liou  J. L. Lee  S. C. Ou  Q. Fu  Y. Takano 《Meteorology and Atmospheric Physics》1991,46(1-2):41-50

Summary Parameterization programs for cloud microphyscs and radiative transfer involving ice clouds have been developed in terms of the mean effective size and ice water path. The mean effective size appears to be adequate in representing the ice crystal size distribution for radiative parameterizations. For a given ice water path, smaller mean effective sizes reflect more solar radiation, emit more IR radiation and enhance net radiative heating/cooling at the cloud top and bottom than larger sizes. The presence of small ice crystals may generate steeper lapse rates in clouds. A 3-D global cloud model that prescribes the horizontal wind fields in a 24 hour period is used to investigate the sensitivity of the mean effective size of ice crystals on the simulation of radiative heating, temperature, cloud cover and ice water content. A variation in the mean effective size from 75 to 50 m in a 24 hour prediction on simulation generates more cooling above the high cloud top and a decrease of temperature. These results lead to an increase of high cloud cover in some latitudes by as much as 4% and, at the same time, a decrease of middle cloud cover by 3–4% in latitudes between 60°S and 60°N.With 7 Figures  相似文献   

Glaucophane chloritoid-bearing assemblages from NE Oman: petrologic significance and a petrogenetic grid for high P metapelites     

A. K. El-Shazly  J. G. Liou 《Contributions to Mineralogy and Petrology》1991,107(2):180-201

Pelitic layers and lenses interbedded with blueschists and eclogites in Saih Hatat, NE Oman contain chloritoid- and sodic amphibole-bearing mineral assemblages that are useful for reconstructing the P-T history of the area. Textural and mineral chemical relations suggest that coexisting glaucophane (Gln) and chloritoid (Ctd) formed at the expense of chlorite (Chl)+paragonite (Pg) and later broke down to garnet (Gt)+Pg during prograde metamorphism according to the reaction: Gln+Ctd+Qz=Gt+Pg+H₂O. During retrogression, Gln and Chl first formed at the expense of Gt and Pg, followed by the breakdown of Ctd and Gt to Chl. The final stages of retrogression are marked by the breakdown of Gln to an aggregate of Chl+albite (Ab). A projection from quartz (Qz), H₂O and phengite (Ph) on the (Al₂O₃+Fe₂O₃)-(FeO+MgO)-Na₂O plane in the system NFMASH is best suited for the representation of the phase relations in high P metapelites. Petrogenetic grids for the model systems NMASH and NFASH were calculated using program GEO-CALC (Berman et al. 1987) and its database (Berman 1988) after the retrieval of S _i ^o and H _f ^o for Gln and Ctd by mathematical programming and calculating all possible reactions among Gln, Ctd, Chl, jadeite (Jd), Ab, Gt, Pg, talc (Tc), pyrophyllite (Prl) and kyanite (Ky). The calculated petrogenetic grid for the system NFASH shows that Fe-Ctd and ferroglaucophane coexist at P>6.5 kbar and T<525°C, whereas the assemblage: Ct-Gln-Pg is stable between 435 and 630°C and P>6 kbar. This grid is consistent with the P-T estimates for high P metapelites from Oman, New Caledonia, Seward Peninsula, Ile de Groix, Sifnos and Peloponnese, where Gln+Ctd bearing units are interbedded with cofacial mafic blueschists and eclogites. The grid also explains the observed textural relations in the metapelites of Oman, and is consistent with the clockwise P-T path proposed for this area, but differs from the grids of Guiraud et al. (1990) in showing a larger stability field for Gln+Ctd that overlaps with the stability fields of Jd+Qz as well as Ab. The petrogenetic grid calculated for the system NMASH shows that Mg-Ctd+Gln-bearing assemblages require unusually low geothermal gradients to form in metapelites. It also shows that Mg-rich Ctd+Tc coexist at high pressures over a wider P-T range than predicted by Guiraud et al. (1990). This grid can therefore be applied to high P metamorphic assemblages from the eastern and western Alps.Abbreviations Ab Albite - Act Actinolite - Alm Almandinc - a _i activity of component i - Cal Calcite - Car Carpholite - Chl Chlorite - Co Corundum - Coes Coesite - Cpx Clinopyroxene - Cr Crossite - Ctd Chloritoid - Czo Clinozoisite - Dap Daphnite - Ep Epidote - Fgl Ferroglaucophane - G _f ^o Standard state Gibbs free energy of formation of phase i - Gln Glaucophane - Grph Graphite - Gt Garnet - H _f,i ^m Standard state enthalpy of formation of phase i - Hem Hematite - Ilm Ilmenite - Jd Jadeite - Ky Kyanite - Lws Lawsonite - Mgt Magnetite - Omph Omphacite - Pg Paragonite - Ph Phengite - Prl Pyrophyllite - Qz Quartz - Rt Rutile - S _i ^a Third law entropy of phase i - St Staurolite - Tc Talc - Tr Tremolite - Ttn Titanite (Sphene) - V H₂O - WM white mica - Zo Zoisite  相似文献   

Metamorphic evolution of the coesite-bearing ultrahigh-pressure terrane in the North Qaidam, Northern Tibet, NW China   总被引：37，自引：0，他引：37  

S. G. Song  J. S. Yang  Z. Q. Xu  J. G. Liou  R. D. Shi 《Journal of Metamorphic Geology》2003,21(6):631-644

Widespread evidence for ultrahigh‐pressure (UHP) metamorphism is reported in the Dulan eclogite‐bearing terrane, the North Qaidam–Altun HP–UHP belt, northern Tibet. This includes: (1) coesite and associated UHP mineral inclusions in zircon separates from paragneiss and eclogite (identified by laser Raman spectroscopy); (2) inclusions of quartz pseudomorphs after coesite and polycrystalline K‐feldspar + quartz in eclogitic garnet and omphacite; and (3) densely oriented SiO₂ lamellae in omphacitic clinopyroxene. These lines of evidence demonstrate that the Dulan region is a UHP metamorphic terrane. In the North Dulan Belt (NDB), eclogites are characterized by the peak assemblage Grt + Omp + Rt + Phn + Coe (pseudomorph) and retrograde symplectites of Cpx + Ab and Hbl + Pl. The peak conditions of the NDB eclogites are P = 2.9–3.2 GPa, and T = 631–687 °C; the eclogite shows a near‐isothermal decompression P–T path suggesting a fast exhumation. In the South Dulan Belt (SDB), three metamorphic stages are recognized in eclogites: (1) a peak eclogite facies stage with the assemblage Grt + Omp + Ky + Rt + Phn at P = 2.9–3.3 GPa and T = 729–746 °C; (2) a high‐pressure granulite facies stage with Grt + Cpx (Jd < 30) + Pl (An24–29) + Scp at P = 1.9–2.0 GPa, T = 873–948 °C; and (3) an amphibolite facies stage with the assemblage Hbl + Pl + Ep/Czo at P = 0.7–0.9 GPa and T = 660–695 °C. The clockwise P–T path of the SDB eclogites is different from the near‐isothermal decompression P–T path from the NDB eclogites, which suggests that the SDB was exhumed to a stable crustal depth at a slower rate. In essence these two sub‐belts formed in different tectonic settings; they both subducted to mantle depths of around 100 km, but were exhumed to the Earth's surface separately along different paths. This UHP terrane plays an important role in understanding continental collision in north‐western China.  相似文献