Numerical Method for Conditional Simulation of Levy Random Fields   总被引：2，自引：0，他引：2  

Scott Painter 《Mathematical Geology》1998,30(2):163-179

Stochastic simulations of subsurface heterogeneity require accurate statistical models for spatial fluctuations. Incremental values in subsurface properties were shown previously to be approximated accurately by Levy distributions in the center and in the start of the tails of the distribution. New simulation methods utilizing these observations have been developed. Multivariate Levy distributions are used to model the multipoint joint probability density. Explicit bounds on the simulated variables prevent nonphysical extreme values and introduce a cutoff in the tails of the distribution of increments. Long-range spatial dependence is introduced through off-diagonal terms in the Levy association matrix, which is decomposed to yield a maximum likelihood type estimate at unobserved locations. This procedure reduces to a known interpolation formula developed for Gaussian fractal fields in the situation of two control points. The conditional density is not univariate Levy and is not available in closed form, but can be constructed numerically. Sequential simulation algorithms utilizing the numerically constructed conditional density successfully reproduce the desired statistical properties in simulations.  相似文献   

Fractals and the accuracy of geographical measures   总被引：20，自引：0，他引：20  

Michael F. Goodchild 《Mathematical Geology》1980,12(2):85-98

The problems of estimating line length, area, and point characteristics in the earth sciences have generated substantial but independent literatures. All three problems are of increasing concern given the current interest in digital capture, processing, and the storage of geographically referenced data. In the case of qualitative maps, all three are shown to be related to Mandelbrot's fractional dimension D (Mandelbrot, 1977) which allows the dependence of each on sampling density to be predicted. The general results are confirmed by simulation on surfaces of constant D. They also imply that certain improvements can be made in a number of previously proposed methods.  相似文献   

BIB-SEM characterization of pore space morphology and distribution in postmature to overmature samples from the Haynesville and Bossier Shales     

《Marine and Petroleum Geology》2015

Four Haynesville Shale and four Bossier Shale samples were investigated using a combination of Scanning Electron Microscopy (SEM) and Broad Ion Beam (BIB) polishing. This approach enables the microstructure and porosity to be studied down to the mesopore size (<50 nm) in representative areas at the scale of the BIB cross-sections. The samples vary in mineralogy, grain size and TOC and the maturity ranges from 2.42 to 2.58 VR_r in the Haynesville Shale to 1.79–2.26 VR_r in the Bossier Shale. This variety within the samples enabled us to study controls on the porosity distribution in these shales. Visible pores exist as intraparticle pores mainly in carbonate grains and pyrite framboids and as interparticle pores, mainly in the clay-rich matrix. Pores in organic matter show a characteristic porosity with respect to the type of organic matter, which mainly consists of mixtures of amorphous organic matter and minerals, organic laminae and discrete macerals. A clear positive trend of organic-matter porosity with maturity was found. Pore sizes are power law distributed in the range of 4.4 μm to at least 36 nm in equivalent diameter. The differences in power law exponents suggest that a more grain supported, coarse-grained matrix may prevent pores from mechanical compaction. Porosities measured in the BIB cross-sections were significantly lower in comparison to porosities obtained by Mercury Intrusion Porosimetry (MIP). This difference is mainly attributed to the different resolution achieved with BIB-SEM and MIP and type of pore network. Extrapolation of pore size distributions (PSDs) enables the BIB-SEM porosity to be estimated down to the resolution of the MIP and thus to upscale microstructural observation at the confined space of the BIB-SEM method to bulk porosity measurement. These inferred porosities are in good agreement with the MIP determined porosities, which underpins the assumption that pores segmented in BIB-SEM mosaics are representative of the MIP methodology.  相似文献   

南华北盆地青白口系—侏罗系层序界面时空分布特征研究     

田景春  张翔  许珉  时国  朱迎堂  夏青松  王峰  阳伟  黄龙  何明喜  杨波  郭双亭  曹健康  严永新  杜建波 《西安地质学院学报》2010,(4):331-337

以位于秦岭—大别造山带之北、华北陆块南部、地跨华北陆块稳定块体、陆块南部边缘变形带的南华北盆地为研究对象,通过对研究区42条不同时代的野外剖面详细观测,运用层序地层学理论,把南华北盆地作为一个整体系统,对青白口系—侏罗系层序界面特征及时空分布规律进行了系统分析,共识别出了8种类型层序界面的物质表现形式,分别是不整合面、渣状层、古喀斯特作用面、冲刷侵蚀面、超覆面、岩性岩相转换面、最大海泛面、最大湖泛面。并重点讨论了各类型界面的时空分布特征。结果表明：在时间演化上,从早到晚由海相—海陆过渡相—陆相,层序界面经历了海相沉积不整合、古喀斯特作用面、渣状层到陆相不整合面、冲刷侵蚀面等;在空间上,同一层序界面在不同相带表现形式不同,同一种类型的界面可在不同相带出现,但不同相带表现特征有一定差异性。  相似文献   

Methodological recommendations for ungulate mortality analyses in paleoanthropology     

Henry T. Bunn  Travis Rayne Pickering 《Quaternary Research》2010,74(3):388-394

Age profiling of fossil faunal samples relies on the correlation of animal tooth-wear patterns with life history stages, but the criteria used to infer these stages are not necessarily valid. Here we redefine some commonly used prey age classes, such as “juvenile,” “prime-age adult,” and “old adult,” based on the variable characteristics of tooth wear that we have observed in different ungulate size classes, and argue that prey vulnerability to predation is not so clearly predicted by the simplified age classes in widespread use by zooarchaeologists. We recommend instead classifying the youngest animal remains as either young juvenile or subadult juvenile, and adult remains as early prime, late prime or old, and provide specific criteria of dental eruption and occlusal wear for making these determinations. We argue this refined age profiling system, when used in combination with other types of zooarchaeological and taphonomic data, can provide accurate inferences of faunal accumulation processes.  相似文献   

Bovid mortality profiles in paleoecological context falsify hypotheses of endurance running–hunting and passive scavenging by early Pleistocene hominins     

Henry T. Bunn  Travis Rayne Pickering   《Quaternary Research》2010,74(3):395-404

The world’s first archaeological traces from 2.6 million years ago (Ma) at Gona, in Ethiopia, include sharp-edged cutting tools and cut-marked animal bones, which indicate consumption of skeletal muscle by early hominin butchers. From that point, evidence of hominin meat-eating becomes increasingly more common throughout the Pleistocene archaeological record. Thus, the substantive debate about hominin meat-eating now centers on mode(s) of carcass resource acquisition. Two prominent hypotheses suggest, alternatively, (1) that early Homo hunted ungulate prey by running them to physiological failure and then dispatching them, or (2) that early Homo was relegated to passively scavenging carcass residues abandoned by carnivore predators. Various paleontologically testable predictions can be formulated for both hypotheses. Here we test four predictions concerning age-frequency distributions for bovids that contributed carcass remains to the 1.8 Ma. old FLK 22 Zinjanthropus (FLK Zinj, Olduvai Gorge, Tanzania) fauna, which zooarchaeological and taphonomic data indicate was formed predominantly by early Homo. In all but one case, the bovid mortality data from FLK Zinj violate test predictions of the endurance running-hunting and passive scavenging hypotheses. When combined with other taphonomic data, these results falsify both hypotheses, and lead to the hypothesis that early Homo operated successfully as an ambush predator.  相似文献   

Size‐frequency distributions of Joania cordata and Argyrotheca cuneata (Brachiopoda: Megathyrididae) from the Central Tyrrhenian Sea     

Francesca Evangelisti  Paolo G. Albano  Bruno Sabelli 《Marine Ecology》2014,35(3):377-386

Size‐frequency distributions can support reliable inferences concerning population dynamics of brachiopods, but only a few data are available so far. In this study, length and width frequency distributions of dead specimens of the Recent brachiopods Joania cordata and Argyrotheca cuneata from the Marine Protected Area ‘Secche di Tor Paterno’, Central Tyrrhenian Sea, Italy (41°35′ N, 12°20′ E), are reported in order to add new data about size‐frequency distributions of brachiopods. The studied specimens came from death assemblages in the coralligenous substrate, in the Posidonia oceanica meadows, and in the sand channels. The observed patterns vary from left‐skewed (J. cordata) to right‐skewed (A. cuneata), indicating respectively a low and high mortality of smaller individuals. Significant differences between the coralligenous substrate and the P. oceanica meadow were observed for both species, revealing a variation among different habitats. All length and width distributions are clearly polymodal, but the biological meaning of the peaks is difficult to interpret, as the two species seem to have a 2‐year life span. A biometric analysis of shell sizes revealed that length and width are the most variable parameters during the growth of the animal.  相似文献   

Bayesian area-to-point kriging using expert knowledge as informative priors     

《International Journal of Applied Earth Observation and Geoinformation》2014

Area-to-point (ATP) kriging is a common geostatistical framework to address the problem of spatial disaggregation or downscaling from block support observations (BSO) to point support (PoS) predictions for continuous variables. This approach requires that the PoS variogram is known. Without PoS observations, the parameters of the PoS variogram cannot be deterministically estimated from BSO, and as a result, the PoS variogram parameters are uncertain. In this research, we used Bayesian ATP conditional simulation to estimate the PoS variogram parameters from expert knowledge and BSO, and quantify uncertainty of the PoS variogram parameters and disaggregation outcomes. We first clarified that the nugget parameter of the PoS variogram cannot be estimated from only BSO. Next, we used statistical expert elicitation techniques to elicit the PoS variogram parameters from expert knowledge. These were used as informative priors in a Bayesian inference of the PoS variogram from BSO and implemented using a Markov chain Monte Carlo algorithm. ATP conditional simulation was done to obtain stochastic simulations at point support. MODIS (Moderate Resolution Imaging Spectroradiometer) atmospheric temperature profile data were used in an illustrative example. The outcomes from the Bayesian ATP inference for the Matérn variogram model parameters confirmed that the posterior distribution of the nugget parameter was effectively the same as its prior distribution; for the other parameters, the uncertainty was substantially decreased when BSO were introduced to the Bayesian ATP estimator. This confirmed that expert knowledge brought new information to infer the nugget effect at PoS while BSO only brought new information to infer the other parameters. Bayesian ATP conditional simulations provided a satisfactory way to quantify parameters and model uncertainty propagation through spatial disaggregation.  相似文献   

Characteristics of high arsenic groundwater in Hetao Basin, Inner Mongolia, northern China   总被引：2，自引：0，他引：2  

YangChun Zhu  XueYong Zhao  Min Chen  YongQing Luo  Xin Zhou 《寒旱区科学》2015,7(1):0104-0110

It is well known that the Hetao Basin is one of the most seriously arsenic-affected groundwater areas in China. In order to understand the characteristics of high arsenic(As) groundwater in the Basin, a brief overview of arsenic in groundwater follows. High arsenic in the Basin commonly occurs in shallow groundwater and the total arsenic concentrations range from 0.58 to 572 μg/L(average 99.73 μg/L), exceeding the maximum mandated value of 10 μg/L for drinking water in China; As(Ш) is the predominant species. The regional distribution pattern of arsenic in the groundwater increases from south/southeast to north/northwest. Hangjinhouqi and Wuyuan counties are considered as the most seriously affected areas, with high incidences of endemic arsenicosic diseases in the Hetao Basin. High groundwater arsenic correlates with the increase of well depth. Previous studies proposed that groundwater arsenic in the Basin is mainly originated from desorption of some natural solid materials in the sediments, under reducing condition. Generally, reducing condition is believed to be the primary factor for arsenic releasing from the sediment to groundwater in the region. Under inorganic or bacterial processes, Fe2O3 changes to Fe S and arsenic adsorbed to Fe(OH)3 dissolves into groundwater, and As(V) is reduced to As(Ш). Besides, reducing environments, groundwater hydraulic gradients, organic matter, p H, evapotranspiration, and soil texture are presumed to be the predominant factors that control arsenic mobilization.  相似文献   

2011年长江中下游旱涝急转及汛期暴雨的对流条件研究     

黄明策  沈新勇  刘会鹏  李小凡 《热带气象学报》2020,36(5):590-602

利用ERA-Interim及雨量和土壤水分观测资料,对比诊断了2011年5—6月长江中下游梅汛前极旱期急转为梅汛期洪涝的极端天气事件的对流条件（水汽、不稳定、抬升作用）差异及特征,并研究条件性湿位涡垂直通量（CMF）指数与暴雨之间的定量关系。结果表明:在极旱期,干冷的东北气流控制,西太平洋副热带高压偏东,低层水汽通量弱且以偏北风输送为主,中低层为下沉气流,无低空急流,等θ_se线稀疏,边界层抬升机制缺乏,是干旱加剧的主要因子;在梅汛期,西南气流增强,西太平洋副热带高压西伸,低层气流在长江地区辐合,低层水汽通量增加且转为西南和东南风输送为主,伴随高低空急流耦合和深厚的上升运动,等θ_se线密集形成梅雨锋,增强不稳定暖湿空气强迫抬升和垂直输送,造成暴雨频发,引起区域性洪涝。暴雨中心600 hPa以下为负湿位涡的不稳定层,对流不稳定与条件性对称不稳定共同作用是强降水发生的不稳定机制。CMF指数与旱涝变化、暴雨过程演变非常一致,在极旱（梅汛）期,CMF指数低（高）,变化平缓（剧烈）,CMF指数在暴雨开始时逐步剧增,结束时迅速减小。   相似文献