rock size
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Minerals ◽  
2022 ◽  
Vol 12 (1) ◽  
pp. 62
Author(s):  
Gaojian Hu ◽  
Gang Ma ◽  
Jie Liu ◽  
Kuan Qi

The number of parallel joints has an impact on the size effect of the uniaxial compressive strength and characteristic strength of a rock; however, the relationships between them are yet to be derived. We studied the influence of the number of joints and rock size on the uniaxial compressive strength of the rock. This study established ten numerical simulation programs using numerical simulations and the RFPA software. Stress–strain curves of different numbers of parallel joints and sizes of rocks were analyzed. Relationships between the uniaxial compressive strength and number of parallel joints and rock size were proposed, and their special functions were obtained. Mathematical models between rock characteristic size, rock characteristic strength and the number of parallel joints were established. Simulations of the verification program confirmed that these relationships are still applicable after the angle of parallel joints changes.


2021 ◽  
Author(s):  
M. P. Golombek ◽  
A. Trussell ◽  
N. Williams ◽  
C. Charalambous ◽  
H. Abarca ◽  
...  

2021 ◽  
Author(s):  
◽  
Nicolai Truemper

<p>Intertidal boulder fields are heterogeneous mosaics of different micro-habitat patches providing high structural complexity and spatial variability of environmental conditions that shape the heterogeneity of abundance of species. The influence of the spatial scale at which ecological patterns are measured has gained much attention over the last two decades. The adaptations to environmental conditions as well as the ability to disperse vary among species and, consequently, result in species-specific responses to heterogeneous environments. Understanding the causes and consequences of spatial patterns of abundance of organisms is a central problem in ecology and insight in underlying mechanisms may have important implications for fisheries management and conservation biology. The competing demands organisms are subject to require compromises to optimise fitness and facilitate the persistence of a population. Reproductive trade-offs, for example, may be largely the result of adaptive processes, constrained by phylogenetic effects. Generally, trade-offs are regarded as a key to understand the evolution of life history characteristics.  The present study investigates the spatial dynamics and life history adaptations of an aggregating species, the New Zealand half crab, Petrolisthes elongatus. This species has a biphasic lifecycle and occurs in geographically isolated benthic metapopulations that are associated with cobble beaches, where it reaches extremely high densities. Even though sampling was conducted exclusively in the Wellington region, sites at Cook Strait as well as within Wellington Harbour exhibited considerable differences in habitat structure and temperatures as well as wave exposure and food supply. Cobble size was an excellent predictor of both population density and mean carapace width on almost every scale of observation and, therefore, appeared to be an important indicator of habitat quality for P. elongates because cobble size is closely related to availability and size of interstitial space between boulders the crabs utilize as shelters against predation and desiccation pressure. Crab densities were significantly (6-fold) higher within the harbour compared to south coast sites, presumably due to 1) the different availability of shelter space, 2) lower settlement and recruitment rates at Cook Strait, and 3) higher food supply within the harbour. Population structure was mainly influenced by settlement and recruitment, but also by rock size (i.e. shelter size), size selective predation and a higher mobility of larger crabs. Under laboratory conditions, predation rates among small crabs strongly depended on rock size, whereas large crabs were generally rarely to never preyed upon. Migrated distances did not exceed 100cm over 25h in most cases but were different at different sites. While structural complexity could affect mobility (i.e. easier movement among larger rocks), local density and resulting levels of intraspecific competition were possibly the main drivers of limited mobility of adult crabs. P. elongatus exhibits a high phenotypic plasticity of reproductive traits in response to the variable environmental conditions across sites. Female crabs at Island Bay (Cook Strait) showed the highest fecundity, higher percentage of ovigerous females, higher proportion of clutch to body weight (i.e. reproductive output) and higher egg numbers among large individuals compared to similarsized individuals at other sites at the harbour entrance (Breaker Bay) as well as within the harbour (Hutt River mouth). Larvae of P. elongatus strongly responded to waterborne settlement cues released by conspecific adults both in the laboratory and in the field. The average numbers of settlers was 4-fold higher in basket traps deployed in the field if conspecific adults were present. Therefore, settlement patters are strongly influenced by conspecific density, even on a small spatial scale (tens of centimetres). Recently metamorphosed individuals may still respond to conspecific cues, presumably providing guidance to conspecific adults that protect juveniles from predation and desiccation pressure in addition to shelters between boulders. Under laboratory conditions, individual growth rates as well as mortality depended on density but not on food level. Differences in density dependent growth rates and mortality varied with body size and were both more pronounced among smaller crabs. Limb loss significantly influenced the increase in body weight over time, especially among small individuals; however, no differences could be detected regarding changes in body size due to few moults over the course of the experiment. Crabs with removed chelipeds gained more weight over 7 weeks relative to uninjured individuals, presumably due to the limb regeneration process. Reproductive output, however, appeared not to be affected by limb loss and the associated costs of regenerating chelipeds; however, sample sizes were low to reliably detect such differences. The results of my thesis underline the importance of the consideration of spatial scale in ecological studies in order to meaningfully compare results with other studies. Additionally, the present study contributes to elucidate the influence of environmental conditions on density dependence and reproductive traits of mobile intertidal invertebrates.</p>


2021 ◽  
Author(s):  
◽  
Nicolai Truemper

<p>Intertidal boulder fields are heterogeneous mosaics of different micro-habitat patches providing high structural complexity and spatial variability of environmental conditions that shape the heterogeneity of abundance of species. The influence of the spatial scale at which ecological patterns are measured has gained much attention over the last two decades. The adaptations to environmental conditions as well as the ability to disperse vary among species and, consequently, result in species-specific responses to heterogeneous environments. Understanding the causes and consequences of spatial patterns of abundance of organisms is a central problem in ecology and insight in underlying mechanisms may have important implications for fisheries management and conservation biology. The competing demands organisms are subject to require compromises to optimise fitness and facilitate the persistence of a population. Reproductive trade-offs, for example, may be largely the result of adaptive processes, constrained by phylogenetic effects. Generally, trade-offs are regarded as a key to understand the evolution of life history characteristics.  The present study investigates the spatial dynamics and life history adaptations of an aggregating species, the New Zealand half crab, Petrolisthes elongatus. This species has a biphasic lifecycle and occurs in geographically isolated benthic metapopulations that are associated with cobble beaches, where it reaches extremely high densities. Even though sampling was conducted exclusively in the Wellington region, sites at Cook Strait as well as within Wellington Harbour exhibited considerable differences in habitat structure and temperatures as well as wave exposure and food supply. Cobble size was an excellent predictor of both population density and mean carapace width on almost every scale of observation and, therefore, appeared to be an important indicator of habitat quality for P. elongates because cobble size is closely related to availability and size of interstitial space between boulders the crabs utilize as shelters against predation and desiccation pressure. Crab densities were significantly (6-fold) higher within the harbour compared to south coast sites, presumably due to 1) the different availability of shelter space, 2) lower settlement and recruitment rates at Cook Strait, and 3) higher food supply within the harbour. Population structure was mainly influenced by settlement and recruitment, but also by rock size (i.e. shelter size), size selective predation and a higher mobility of larger crabs. Under laboratory conditions, predation rates among small crabs strongly depended on rock size, whereas large crabs were generally rarely to never preyed upon. Migrated distances did not exceed 100cm over 25h in most cases but were different at different sites. While structural complexity could affect mobility (i.e. easier movement among larger rocks), local density and resulting levels of intraspecific competition were possibly the main drivers of limited mobility of adult crabs. P. elongatus exhibits a high phenotypic plasticity of reproductive traits in response to the variable environmental conditions across sites. Female crabs at Island Bay (Cook Strait) showed the highest fecundity, higher percentage of ovigerous females, higher proportion of clutch to body weight (i.e. reproductive output) and higher egg numbers among large individuals compared to similarsized individuals at other sites at the harbour entrance (Breaker Bay) as well as within the harbour (Hutt River mouth). Larvae of P. elongatus strongly responded to waterborne settlement cues released by conspecific adults both in the laboratory and in the field. The average numbers of settlers was 4-fold higher in basket traps deployed in the field if conspecific adults were present. Therefore, settlement patters are strongly influenced by conspecific density, even on a small spatial scale (tens of centimetres). Recently metamorphosed individuals may still respond to conspecific cues, presumably providing guidance to conspecific adults that protect juveniles from predation and desiccation pressure in addition to shelters between boulders. Under laboratory conditions, individual growth rates as well as mortality depended on density but not on food level. Differences in density dependent growth rates and mortality varied with body size and were both more pronounced among smaller crabs. Limb loss significantly influenced the increase in body weight over time, especially among small individuals; however, no differences could be detected regarding changes in body size due to few moults over the course of the experiment. Crabs with removed chelipeds gained more weight over 7 weeks relative to uninjured individuals, presumably due to the limb regeneration process. Reproductive output, however, appeared not to be affected by limb loss and the associated costs of regenerating chelipeds; however, sample sizes were low to reliably detect such differences. The results of my thesis underline the importance of the consideration of spatial scale in ecological studies in order to meaningfully compare results with other studies. Additionally, the present study contributes to elucidate the influence of environmental conditions on density dependence and reproductive traits of mobile intertidal invertebrates.</p>


2021 ◽  
Author(s):  
Matthew P. Golombek ◽  
Allyson R. Trussell ◽  
Nathan Robert Williams ◽  
Constantinos Charalambous ◽  
Hallie Abarca ◽  
...  

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Qiang Han ◽  
Yaohui Gao ◽  
Yan Zhang

Size effect has always been the focus of rock mechanics as a bridge between laboratory test and engineering site. Previously, the research conditions and objects of the rock size effect have mostly focused on cylindrical rock samples with different height-to-diameter ratios (H/Ds) under uniaxial or conventional triaxial compression, while there has been little research on the rock size effect under true triaxial compression (TTC), especially rectangular rock samples with different sizes and the same length-to-width-to-height ratio. Based on this, the deformation, strength, and failure characteristics of Beishan (BS) granite and Baihetan (BHT) basalt with different sample sizes under TTC were studied by a comparative analysis method. The size effect of deformation and failure characteristics under TTC are not obvious, including stress-strain curves, Young’s modulus, peak strains, failure angles, and macrofailure mode. However, the damage stress (σcd) and peak strength (σp) have obvious size effect; that is, the smaller the sample size is, the higher the strength is. Additionally, the relationship among the peak strength, sample size, and intermediate principal stress (σ2) is power function. In addition, by comparing the peak strength increment caused by the sample size of the two types of rocks, the σp of the fine-grained BHT basalt is more sensitive to sample size than that of the coarse-grained BS granite. Finally, by analyzing the relationship between the size of the mineral grains or clusters in the two types of hard rocks and the complexity of crack propagation in the fracture surface under TTC, it is suggested that the minimum side length of rock samples should not be less than 10 times the maximum mineral clusters (such as feldspar phenocrysts in BHT basalt). In addition, the method of estimating elastic strain is established by analyzing the relationship between the size of the rock sample σ2 and the elastic strain under TTC.


Author(s):  
Lei Jin ◽  
Yawu Zeng ◽  
Jingjing Li ◽  
Hanqing Sun

Based on the discrete element method and the proposed virtual slicing technique for three-dimensional discrete element model, random pore-structural models of soil-rock mixtures are constructed and voxelized. Then, the three-dimensional lattice Boltzmann method is introduced to simulate the seepage flow in soil-rock mixtures on the pore scale. Finally, the influences of rock content, rock size, rock shape and rock orientation on the simulated permeability of soil-rock mixtures are comprehensively investigated. The results show that the permeability of soil-rock mixtures remarkably decreases with the increase of rock content. When the other conditions remain unchanged, the permeability of soil-rock mixtures increases with the increase of rock size. The permeability of soil-rock mixtures with bar-shaped rocks is smaller than that of soil-rock mixtures with block-shaped rocks, but larger than that of soil-rock mixtures with slab-shaped rocks. The rock orientation has a certain influence on the permeability of SRMs, and the amount of variation changes with the rock shape: when the rocks are bar-shaped, the permeability is slightly decreased as the major axes of these rocks change from parallel to perpendicular with respect to the direction of main flow; when the rocks are slab-shaped, the permeability decreases more significantly as the slab planes of these rocks change from parallel to perpendicular with respect to the direction of main flow.


Author(s):  
Paulo Ivonir Gubiani ◽  
Caroline Andrade Pereira ◽  
Jussara Santoli Cauduro ◽  
Colin Campbell ◽  
Leonardo Rivera ◽  
...  

2021 ◽  
Vol 280 ◽  
pp. 01004
Author(s):  
Valerii Korniyenko ◽  
Yevhenii Malanchuk ◽  
Andriy Khrystyuk ◽  
Valentyna Kostrychenko ◽  
Assel Shampikova ◽  
...  

The article considers the features of the distribution of technological indicators (product output, content and extraction of copper) by size classes, the main factors influencing the crushing process are identified and regression dependences of productivity on influencing factors are received. The parabolic nature of the dependences of the output of crushed rock on the size class is established. The high adequacy of the obtained models was confirmed and the most promising classes of rock size for copper extraction were determined. The obtained results and models will allow to develop a generalized model of the process of native copper mining and to implement this process with rational and optimal parameters. Also, the received models will allow to carry out an estimation of productivity of a research site of processing of raw materials of basalt quarries.


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