Discontinuity spacing analysis in rock masses using 3D point clouds

The complete characterization of rock masses implies the acquisition of information of both, the materials which compose the rock mass and the discontinuities which divide the outcrop. Recent advances in the use of remote sensing techniques – such as Light Detection and Ranging (LiDAR) – allow the accurate and dense acquisition of 3D information that can be used for the characterization of discontinuities. This work presents a novel methodology which allows the calculation of the normal spacing of persistent and non-persistent discontinuity sets using 3D point cloud datasets considering the three dimensional relationships between clusters. This approach requires that the 3D dataset has been previously classified. This implies that discontinuity sets are previously extracted, every single point is labeled with its corresponding discontinuity set and every exposed planar surface is analytically calculated. Then, for each discontinuity set the method calculates the normal spacing between an exposed plane and its nearest one considering 3D space relationship. This link between planes is obtained calculating for every point its nearest point member of the same discontinuity set, which provides its nearest plane. This allows calculating the normal spacing for every plane. Finally, the normal spacing is calculated as the mean value of all the normal spacings for each discontinuity set. The methodology is validated through three cases of study using synthetic data and 3D laser scanning datasets. The first case illustrates the fundamentals and the performance of the proposed methodology. The second and the third cases of study correspond to two rock slopes for which datasets were acquired using a 3D laser scanner. The second case study has shown that results obtained from the traditional and the proposed approaches are reasonably similar. Nevertheless, a discrepancy between both approaches has been found when the exposed planes members of a discontinuity set were hard to identify and when the planes pairing was difficult to establish during the fieldwork campaign. The third case study also has evidenced that when the number of identified exposed planes is high, the calculated normal spacing using the proposed approach is minor than those using the traditional approach.

Datasets and results of the research [Discontinuity spacing analysis in rock masses using 3D point clouds]

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Sample descriptions, d-spacing and geochemistry at DSDP Holes 68-501 and 69-504B

Mössbauer analyses were conducted on a sample of saponite selected from DSDP Leg 69 basalt core. The sample was initially placed within a nitrogen-purged container on-board Glomar Challenger approximately three hours after recovery, where it remained until analysis. The Mössbauer data revealed an original, in situ Fe2O3/FeO ratio of 0.46, with both Fe**2+ and Fe**3+ in octahedral coordination. With controlled exposure to air under ambient laboratory storage conditions, the proportion of Fe**3+ increased from an original 30% to 51% over a period of about 11.5 months. The Fe**3+ thus produced remained in octahedral coordination, and no observable changes occurred in the physical appearance of the sample.

Visibility and spacing of lane control signals for freeway traffic management.

Texas Department of Transportation, Austin

Ideal street spacing tables for balanced progression /

Mode of access: Internet.

The writer's desk book: being a reference volume upon questions of punctuation, capitalization, spelling, division of words, indention, spacing, italics, abbreviations, accents, numerals, faulty diction, letter writing, postal regulations, etc., etc.,

Mode of access: Internet.

The spacing of pumped wells /

Mode of access: Internet.

A practical method of determining proper lengths of runs, sizes of furrow streams and spacing of furrows on irrigation lands : provisional /

Mode of access: Internet.

Effects of age, plant spacing, and other variables on growth, yield, and fiber quality of kenaf, Hibiscus cannabinus L.

Bibliography: p. 19.

Effect of spacing on some agronomic and fiber characteristics of irrigated cotton /

Includes bibliographical references (p. 60-62).

Seven species of broadleaf deciduous trees for windbreaks : effect of spacing distance and age on their survival and growth at Cheyenne, Wyo. /

Caption title.

Fringe spacing and phase of interfering matter waves

We experimentally investigate the outcoupling of atoms from Bose-Einstein condensates using two radio-frequency (rf) fields in the presence of gravity. We show that the fringe separation in the resulting interference pattern derives entirely from the energy difference between the two rf fields and not the gravitational potential difference between the two resonances. We subsequently demonstrate how the phase and polarization of the rf radiation directly control the phase of the matter wave interference and provide a semiclassical interpretation of the results.

The spacing and timing of [a chic] critique

This rejoinder reflects an important step, for me, in a preoccupation with methodology that has provided me with many hours of enjoyable reading, not to mention anxiety. For me the ‘reality’ of the incommensurable nature of paradigms and acceptance of the legitimacy of a range of conceptual and philosophical traditions came late. As a constructionist I find myself on the ‘anything goes’ end of methodology choice. This paper and my main paper ought not to be read as a critique of ‘middle range’ theory, but as a critique of an important and necessary aspect of the way we all seek to inscribe facts and structure our writing. What follows is a reflection of the influence Bruno Latour’s writings have had on my ways of seeing and perhaps an unhealthy emphasis on the small things that combine to produce convincing arguments and ‘facts’.