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Impact of the hen egg size on its fracture point measuring the eggshell deformation.

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A digital holographic interferometer is used to measure surface deformation and fracture points in hen eggs under mechanical compression. All samples were subjected to a constant compression load until they fractured. Three different tests are performed to analyze the eggs' mechanical response. In the first test, the egg is vertically oriented, and so the applied load; meanwhile, for the second test, the egg is horizontally oriented with the load applied vertically. The third test keeps the egg horizontal, but on this occasion, the applied load is also horizontal. As the mechanical load is applied, a camera records full-field holograms that retrieve the entire surface deformation of each egg. The influence of the egg's orientation and the load direction modifies the eggshell surface deformation and fracture pattern. In general, fracture propagation is aligned with the load direction. From the results, samples compressed along the length of the egg show fractures, but remained in one piece. A different behavior is observed when the load is applied at the egg's width, which separates the eggshell into two semispheres, allowing the egg's content to drain out. A multivariate analysis was used to integrate the egg dimensions with the resulting optical data, showing a strong relationship between egg size and the fracture point. Larger eggs tend to exhibit more extensive fractures, while smaller and medium-sized eggs showed minor damage. Even though some of this information is empirically known, this is the first time it has been proven by a full imaging inspection showing eggshell deformation and cracks across eggs, independent of egg size. The latter is an advantage as there is no need to limit the study to particular dimensions to measure the exact moment of the fracture, its position, and distribution.

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A study was undertaken to predict the correlation between egg weight and egg characteristics in quail. Data was collected on 102 eggs collected from female quails at 28 weeks. Eggs were numbered, weighed and classified into six egg weight groups: below 9.0g, 9.0-9.5g, 9.6-10.0g, 10.1-10.5g, 10.6-11.0g, and above 11g group. There were 17 eggs per egg weight group. Data was collected on egg weight, shell weight, shell ratio, albumen height, albumen weight, albumen ratio, albumen index, yolk height, yolk diameter, yolk weight, yolk ratio and Haugh Unit. Data collected were analysed using the General Linear Model (GLM) procedure of the Genstat edition 11. The correlation between the various characteristics of egg were determined. The result shows that Albumen diameter, albumen length and albumen width were influenced by size of egg (<i>p</i><0.05). Albumen diameter and albumen length increases with increasing egg size. There was a positive correlation between egg length and albumen (0.448), albumen diameter (0.463), shell surface area (<i>p</i><0.01). Egg width, height, shape index, shell ratio and shell surface area were significantly (<i>p</i>>0.05) influenced by the sizes of quail eggs. The egg sizes of above 11g had the best egg length followed by 10.6g-11.0g, 10.1g-10.5g, 9.6g-10.5g, 9.0g-9.5g and below 9.0 g had the least egg length indicating a direct relationship between egg length and egg weight. The positive correlations between the internal and external egg quality traits indicated that the traits can be improved through selection.

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Some freshwater turtles appear unable to produce eggs large enough to achieve the balance between size and number of eggs predicted by optimal egg size theory. We present evidence that pelvic girdle structure constrains egg size and thus offspring size in females of smaller-bodied species (Chrysemys picta and Deirochelys reticularia). The constraint is demonstrated by the correspondence of slopes of the increase of the pelvic aperture and egg width with increasing body size. This constraint appears to be relaxed in a larger-bodied species (Pseudemys scripta), in which the increase in pelvic aperture relative to body size is greater than the increase in egg width. This type of structural constraint on a reproductive trait should not occur unless there is strong selection on pelvic architecture for other functions, such as locomotion, support, and limb retraction, that prevent expansion of the pelvic aperture. Although other explanations may exist for other groups of organisms that appear to vary egg size, the large variation in egg size associated with body size in some species of turtles can be reconciled with optimal egg size theory only if a pelvic constraint model is accepted.

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Fracture propagation and reservoir permeability in limestone-marl alternations of the Jurassic Blue Lias Formation (Bristol Channel Basin, UK)
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In layered reservoirs characterised by low matrix permeability, fracture networks control the main fluid flow paths. In limestone-marl alternations, however, the vertical fractureassociated permeability varies considerably between distinct layers. Within a succession, various sedimentological features (e.g. sedimentary layering or diagenetic bedding) lead to contrasting rock properties and thus may act as stress barriers. Stress barriers such as lithological contacts or thick marl layers can prevent the fracture propagation in layered rocks, making the prediction of potential fluid flow paths in such successions even more complicated. To improve the prediction of potential fluid flow path, it is crucial to find several layers without stress barriers, which act mechanically as a single unit (‘mechanical unit’). The aim of this doctoral study is to assess the impact of sedimentological and diagenetic features and petrophysical properties on vertical fracture propagation in limestone-marl alternations of the Jurassic Blue Lias Formation (Bristol Channel Basin, United Kingdom), in order to define different kinds of stress barriers and mechanical units. For this purpose, six sections characterised by different morphological variations (e.g. from limestone-dominated to marldominated) were comprehensively investigated combining sedimentological (e.g. field observations, thin section petrography, scanning electron microscopy, CaCO3- and Corgmeasurements), quantitative structural geological (e.g. characterisation of fracture networks) and petrophysical data (e.g. tensile and compressive strength-, rock hardness- and porositymeasurements). Concerning the quantitative structural geological approach, more than 4000 fractures were traced over several layers along a 15 m scan-line using a modified scan-line method (i.e. a combination of scan-line and window sampling). It is generally assumed that the spacing between tension fractures increases and the fracture density decreases with increasing bed thicknesses. This study revealed, however, that in the respective beds of these alternations this relationship is only limitedly applicable and can only be applied in cases of beds with laterally planar surfaces (i.e. well-bedded limestones). Even in beds with the same thickness the fracture spacing varies significantly in beds with irregular surfaces (i.e. semi-nodular limestones). That means fractures are unregularly spaced in seminodular limestones and more regularly spaced in well-bedded limestones. Furthermore, wellbedded limestones in the successions are generally characterised by higher percentages of stratabound fractures (57 %), while semi-nodular limestones show higher percentages of nonstratabound fractures (67 %). Not only is the fracture distribution in single beds crucial for the fracture propagation in layered rocks, but also stress barriers such as lithological contacts, thicknesses and heterogeneities within marl layers inhibit fracture propagation, as well. Stress barriers were identified based on vertical fracture termination at and crossing through lithological contacts and vertical fracture extension through layers (stratabound vs. nonstratabound fractures). Since not all lithological contacts prevent the fracture propagation in layered rock, the term was only used in this doctoral project for 50 % of fracture terminations at these contacts (i.e. ‘mechanical interfaces’). In addition thick marl layers (>0.20 m) bounded by mechanical interfaces and less than 50 % non-stratabound fractures are defined as ‘mechanical buffer’. Given the high heterogeneity of the Blue Lias Formation in fracture distribution also the impact of diagenesis varies significantly from section to section. For instance, three subsections in Wales were studied in detail, despite of their close vicinity and relative contemporaneous time, all three subsections reveal different sedimentological and diagenetic features on metre to micrometre scales (from early lithified over physically compacted) and are all characterised by dissimilar patterns of fracture terminating at and crossing through lithological contacts and fracture extension (e.g. percentages of nonstratabound fractures) within beds. Lithological contacts in diagenetic influenced successions are more gradual and hence are no mechanical interfaces, if additionally the contrast of CaCO3 contents between limestones and marls is low the succession can be defined as a mechanical unit which promotes the fracture propagation. The prediction of fracture network connectivity is difficult in lithological heterogeneous limestone-marl alternations such as the Blue Lias Formation with high heterogeneity in fracture distribution, different impact of diagenesis and effect of different stress barriers. This is particularly problematic for the characterisation of fracture networks and its application in outcrop analogue studies, which are commonly used to predict main fluid flow paths in such systems. The findings of this study are crucial to improve the quantification of fracture distribution and propagation in heterogeneous rock successions and, consequently, to refine definitions of mechanical units, being an important prerequisite for the prediction of fractureassociated permeability and fluid flow models.

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