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Pardo-Igúzquiza Eulogio Dowd Peter A. Rizo-Decelis Luis David 《Mathematical Geosciences》2020,52(5):639-650
Mathematical Geosciences - The universality of fractals implies that very different physical processes can give rise to similar complex spatial patterns. Sinkholes (dolines) and galaxies provide a... 相似文献
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Mathematical Geosciences - Closed terrain depressions are geomorphic features that show scale invariance over the wide range of scales on which they occur, from metres to thousands of kilometres.... 相似文献
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A benthic focussed food web model of intermediate complexity was developed for the intertidal sand flat in the Kejimkujik National Park Seaside, NS, Canada. The goal was to understand the role of invasive green crabs and to investigate potential effects of its removal on the ecosystem. Inputs of biomass, production, consumption and diet composition for each model compartment were obtained through targeted field collections in summers 2008–2010. Simulation (via Ecosim) was used to develop a data-driven baseline steady-state food web of summer conditions and to evaluate effects of ecosystem perturbations that included moderate and extreme removal of crab biomass, in the presence and absence of migrating shorebirds. In the baseline model, green crabs were important benthic predators and also prey for fishes and birds. Ecosystem properties (e.g. size, energetics, organisation) suggested a stable ecosystem. Scenario analyses predicted that crab removal caused only slight perturbations to overall ecosystem properties, but affected some trophic components. Predators that consumed mainly crabs (e.g. gulls) decreased in biomass with crab removal because diet changes could not compensate for lost crab prey. Predators that consumed crabs and also other prey (e.g. plovers) increased in biomass with crab removal because shared benthic prey increased. Migrating shorebirds had a greater impact on the food web than crab removal. Our study suggests that removal of invasive green crabs will likely not drastically change food web biomass and productivity. This study illustrates how field data can be synthesised with food web models for effective management of coastal ecosystems. 相似文献
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Fractures and fracture networks are the fundamental components of enhanced geothermal systems and determine their technical and economic viability. A realistic fracture model that can adequately describe a fracture-stimulated reservoir is critical for subsequent flow and heat transfer analyses of the system. Fractures in these systems are essentially the product of hydraulic stimulations of the reservoir that, together with ground conditions and the local stress regime, determine how fractures are formed and propagated. This paper describes three methods for generating realistic fracture models for enhanced geothermal systems; two of them incorporate the fracture propagation process in the modelling and hence provide a stochastic fracture propagation model. The methods are: a Bayesian framework in the form of Markov Chain Monte Carlo simulation, an extended Random Sampling Consensus model and a Point and Surface Association Consensus model. The conditioning data used in these methods are seismic events recorded during fracture stimulation. Geodynamics’ Habanero reservoir in the Cooper Basin of South Australia is used as a case study to test these methods. 相似文献
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Modeling the effects of atmospheric drag is one of the more important problems associated with the determination of the orbit of a near-earth satellite. Errors in the drag model can lead to significant errors in the determination and prediction of the satellite motion. The uncertainty in the drag acceleration can be attributed to three separate effects: (a) errors in the atmospheric density model, (b) errors in the ballistic coefficient, and (c) errors in the satellite relative velocity. In a number of contemporary satellite missions, the requirements for performing the orbit determination and predictions in near real-time has placed an emphasis on density model computation time as well as the model accuracy. In this investigation, a comparison is made of three contemporary atmospheric density models which are candidates for meeting the current orbit computation requirements. The models considered are the analytic Jacchia-Roberts model, the modified Harris-Priester model, and the USSR Cosmos satellite derived density model. The computational characteristics of each of the models are compared and a modification to the modified Harris-Priester model is proposed which improves its ability to represent the diurnal variation in the atmospheric density.This investigation was supported by the NASA Goddard Spaceflight Center under contract NAS5-20946 and Contract NSG 5154. 相似文献
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Connectivity is an important measure for assessing flow transport in rock, especially through fractures. In this paper, rock
fracture systems are modelled by a discrete fracture model simulated by a marked point process. A connectivity index is then
introduced to quantify the connectivity between any two points in space. Monte Carlo simulation is used to evaluate the connectivity
index for stationary cases and relationships between the connectivity index and the parameters of the discrete fracture model
are analysed. The average number of intersections per fracture, Xf, and the fracture intensity, P12 (P32), are calculated and the relationships between these parameters and the connectivity index are investigated, concluding that
Xf is the more suitable parameter for the classification of rock mass flow properties. The relationships between the connectivity
index and the percolation state of the fractured medium are also discussed. An edge correction is briefly discussed and a
practical example is used to demonstrate the method of computing the connectivity index. 相似文献
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Methods reported in the literature for rock fracture simulations include approaches based on stochastic geometry, multiple-point
statistics and a combination of geostatistics for fracture density and object-based modelling for fracture geometries. The
advantages and disadvantages of each of these approaches are discussed with examples. By way of review, the authors begin
with the geostatistical indicator simulation method, based on the truncated–Gaussian algorithm; this is followed by multiple-point
statistical simulation and then the stochastic geometry approach, which is based on marked point process simulation. A new
approach, based on pluriGaussian structural simulation, is then introduced. The new approach incorporates in the simulation
the spatial correlation between different sets of fractures, which in general, is very difficult, if not impossible, to accomplish
in the three methods reviewed. Each simulation method is summarised together with detailed simulation procedures for each.
A published two-dimensional fracture dataset is used as a means of assessing the performance of each simulation method and
of demonstrating the concepts discussed in the text. 相似文献
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Mathematical Geosciences - Fractal analysis has, for some time, been used to evaluate the roughness of both natural and engineered surfaces. Since the introduction of fractal geometry, evidence of... 相似文献
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S. Seifollahi P. A. Dowd C. Xu A. Y. Fadakar 《Rock Mechanics and Rock Engineering》2014,47(4):1225-1235
Fracture network modelling plays an important role in many application areas in which the behaviour of a rock mass is of interest. These areas include mining, civil, petroleum, water and environmental engineering and geothermal systems modelling. The aim is to model the fractured rock to assess fluid flow or the stability of rock blocks. One important step in fracture network modelling is to estimate the number of fractures and the properties of individual fractures such as their size and orientation. Due to the lack of data and the complexity of the problem, there are significant uncertainties associated with fracture network modelling in practice. Our primary interest is the modelling of fracture networks in geothermal systems and, in this paper, we propose a general stochastic approach to fracture network modelling for this application. We focus on using the seismic point cloud detected during the fracture stimulation of a hot dry rock reservoir to create an enhanced geothermal system; these seismic points are the conditioning data in the modelling process. The seismic points can be used to estimate the geographical extent of the reservoir, the amount of fracturing and the detailed geometries of fractures within the reservoir. The objective is to determine a fracture model from the conditioning data by minimizing the sum of the distances of the points from the fitted fracture model. Fractures are represented as line segments connecting two points in two-dimensional applications or as ellipses in three-dimensional (3D) cases. The novelty of our model is twofold: (1) it comprises a comprehensive fracture modification scheme based on simulated annealing and (2) it introduces new spatial approaches, a goodness-of-fit measure for the fitted fracture model, a measure for fracture similarity and a clustering technique for proposing a locally optimal solution for fracture parameters. We use a simulated dataset to demonstrate the application of the proposed approach followed by a real 3D case study of the Habanero reservoir in the Cooper Basin, Australia. 相似文献