Clay Characterisation from Nanoscopic to Microscopic Resolution

Total Page:16

File Type:pdf, Size:1020Kb

Clay Characterisation from Nanoscopic to Microscopic Resolution Radioactive Waste Management NEA/RWM/CLAYCLUB(2013)1 May 2013 www.oecd-nea.org Clay characterisation from nanoscopic to microscopic resolution NEA CLAY CLUB Workshop Proceedings Karlsruhe, Germany 6-8 September 2011 NEA Unclassified NEA/RWM/CLAYCLUB(2013)1 Organisation de Coopération et de Développement Économiques Organisation for Economic Co-operation and Development 28-May-2013 ___________________________________________________________________________________________ _____________ English - Or. English NUCLEAR ENERGY AGENCY RADIOACTIVE WASTE MANAGEMENT COMMITTEE Unclassified NEA/RWM/CLAYCLUB(2013)1 Cancels & replaces the same document of 24 May 2013 Integration Group for the Safety Case (IGSC) CLAY CHARACTERISATION FROM NANOSCOPIC TO MICROSCOPIC RESOLUTION NEA CLAY CLUB Workshop Proceedings Karlsruhe, Germany 6-8 September 2011 Update of the title of the document on the official OLIS cover page. For any additional information, please contact Mr. Hiroomi AOKI at [email protected]. English JT03340363 Complete document available on OLIS in its original format - This document and any map included herein are without prejudice to the status of or sovereignty over any territory, to the delimitation of Or. English international frontiers and boundaries and to the name of any territory, city or area. NEA/RWM/CLAYCLUB(2013)1 FOREWORD A wide spectrum of argillaceous media are being considered in Nuclear Energy Agency (NEA) mem- ber countries as potential host rocks for the final, safe disposal of radioactive waste, and/or as major constituent of repository systems in which wastes will be emplaced. In this context, the NEA estab- lished the Working Group on the "Characterisation, the Understanding and the Performance of Argil- laceous Rocks as Repository Host Formations" in 1990, informally known as the "Clay Club". The Clay Club examines various argillaceous rocks that are being considered for the underground disposal of radioactive waste, ranging from soft clays to indurated shales. Very generally speaking, these clay rocks are composed of fine-grained minerals showing pore sizes from < 2nm (micropores) up to > 50nm (macropores). The water flow, solute transport and mechanical properties are largely determined by this microstructure, the spatial arrangement of the minerals and the chemical pore water composition. Examples include anion accessible ("geochemical") porosity and macroscopic membrane effects (chemical osmosis, hyperfiltration), geomechanical properties and the characteristics of two-phase flow properties (relevant for gas transport). At the current level of knowl- edge, there is a strong need to improve the nanoscale description of the phenomena observed at a more macroscopic scale. However, based on the scale of individual clay-minerals and pore sizes, for most of the imaging techniques this resolution is a clear challenge. The workshop, hosted by the Institute for Nuclear Waste Disposal (INE), Karlsruhe Institute of Tech- nology (KIT) in the Akademiehotel Karlsruhe (Germany) from the 6th to the 8th of September 2011, was intended to give, inter alia, a discussion platform on: The current state-of-the-art of different spectro- microscopic methods New developments addressing the above mentioned knowledge gaps in clays. The perception of the interplay between geometry and electrostatics of experimentalists and molecular / Monte Carlo modeling groups providing valuable information on a lattice (1 clay surface; Å-scale). This workshop was spo nsored by t he Federal Ministry of Economy and Technology ( BMWi, G er- many). 3 TABLE OF CONTENTS FOREWORD .......................................................................................................................................... 3 EXPECTATIONS, OPEN QUESTIONS TO BE ADDRESSED IN THE WORKSHOP WITHIN THE CONTEXT OF A DEEP GEOLOGICAL REPOSITORY IN CLAY FORMATIONS ................ 6 Synopsis SESSION –I “Chemical Information under high spatial resolution” ................................ 11 Synopsis SESSION –II “Pore structure and connectivity” ............................................................... 13 Synopsis SESSION III & IV “Water and ion mobility, upscaling and implementation in model approaches” ........................................................................................................................ 14 CONCLUSIONS ................................................................................................................................... 17 APPENDIX A – ABSTRACTS OF PRESENTATION ....................................................................... 18 SESSION –I “Chemical Information under high spatial resolution” ............................................... 18 Glass Corrosion and Secondary Clay Mineral Formation: The Fate of Ni and Ce as Revealed by µ-XRF/XAS Techniques ...................................................................................... 19 3D Chemical Information in Clays Using Synchrotron Techniques ............................................. 27 Application of NanoSIMS on Organo‐Mineral Structures ............................................................ 34 Poster Presentations .......................................................................................................................... 40 A SEM-EDX Study of the Processes at the Concrete/Compacted Bentonite Interface ................ 41 A Method for on-Line Measurements of pH in Compacted Bentonite ......................................... 45 Characterization of Colloids Extracted from Two Synthetic Clay Materials by Flow Field Flow Fractionation (FFFF) Coupled to ICP-MS Detector ..................................... 49 Mineralogical and Microfabric investigation of the Sandy Facies of Opalinus Clay (Mont Terri) ...................................................................................................... 53 X-ray Microspectroscopic Investigations of Ni(II) Uptake by Argillaceous Rocks of the Boda Siltstone Formation IN Hungary .............................................................................. 58 Y(III) Binding to the Smectite Hectorite ....................................................................................... 62 Session –II “Pore structure and connectivity” .................................................................................. 66 BIB-SEM of Representative Area Clay Structures: Insights and Challenges ............................... 67 X-ray Tomography and Impregnation Methods to Analyze Pore Space Hetreogeneities at the Hydrated State ............................................................................................................................... 75 Spatial analysis of tomographic data and its implications on mass transport in Opalinus Clay ... 84 X-ray Micro toMography as a Tool for Studying Localized Damage / Deformation in Clay Rock .................................................................................................................................. 91 4 Poster Presentations ........................................................................................................................ 100 On-Going Bentonite Pore Water Studies by NMR and SAXS ................................................... 101 Homogeneity vs. Heterogeneity of Porosity in Boom Clay ........................................................ 105 Qualitative and Quantitative Characterization of Porosity in a Low Porous and Low Permeable Organic Rich Shale by Combining Broad Ion Beam and Scanning Electron Microscopy (BIB-SEM) ........................................................................ 109 SAXS and TEM Investigation of Bentonite Structure ................................................................ 113 Discriminating between Interlayer Pores and Macropores in Na Montmorillonite .................... 117 Comparing Microstructure and Pore Size Distribution of the Shaly and Sandy Facies in Opalinus Clay (Mont Terri, Switzerland) ................................................................... 121 Session –III & IV “Water and ion mobility, upscaling and implementation in model approaches” ..................................................................................................................... 125 Effects of Organics on the Adsorption and Mobility of Metal Cations in Clay Systems: Computational Molecular Modeling Approach........................................................................... 126 Linking the Diffusion of Water in Compacted Clays at Two Different Time Scales: Tracer Through-Diffusion and QENS ......................................................................................... 134 How is the Current Nano/Microscopic Knowledge Implemented in Model Approaches? ......... 142 Poster Presentations ........................................................................................................................ 147 Interaction of Pu with Opalinus Clay Studied by µ-XRF, µ-XRD, and µ-XANES .................... 148 Microstructural Analysis by X-ray Nano-CT and Its Implications on HDO Diffusion in Compacted Montmorillonite ....................................................................................................... 151 Review of Studies of Clay Minerals as Significant Component of Potential Host Rocks or Engineering Barriers for Radioactive Waste Disposals Performed at Comenius University in Bratislava................................................................................................................................ 155 List
Recommended publications
  • Hermaphrodite Edited by Renée Bergland and Gary Williams
    Philosophies of Sex Etching of Julia Ward Howe. By permission of The Boston Athenaeum hilosophies of Sex PCritical Essays on The Hermaphrodite EDITED BY RENÉE BERGLAND and GARY WILLIAMS THE OHIO State UNIVERSITY PRESS • COLUMBUS Copyright © 2012 by The Ohio State University. All rights reserved. Library of Congress Cataloging-in-Publication Data Philosophies of sex : critical essays on The hermaphrodite / Edited by Renée Bergland and Gary Williams. p. cm. Includes bibliographical references and index. ISBN 978-0-8142-1189-2 (cloth : alk. paper) — ISBN 0-8142-1189-5 (cloth : alk. paper) — ISBN 978-0-8142-9290-7 (cd-rom) 1. Howe, Julia Ward, 1819–1910. Hermaphrodite. I. Bergland, Renée L., 1963– II. Williams, Gary, 1947 May 6– PS2018.P47 2012 818'.409—dc23 2011053530 Cover design by Laurence J. Nozik Type set in Adobe Minion Pro and Scala Printed by Thomson-Shore, Inc. The paper used in this publication meets the minimum requirements of the American Na- tional Standard for Information Sciences—Permanence of Paper for Printed Library Materials. ANSI Z39.48–1992. 9 8 7 6 5 4 3 2 1 CONTENTS Acknowledgments vii Introduction GARY Williams and RENÉE Bergland 1 Foreword Meeting the Hermaphrodite MARY H. Grant 15 Chapter One Indeterminate Sex and Text: The Manuscript Status of The Hermaphrodite KAREN SÁnchez-Eppler 23 Chapter Two From Self-Erasure to Self-Possession: The Development of Julia Ward Howe’s Feminist Consciousness Marianne Noble 47 Chapter Three “Rather Both Than Neither”: The Polarity of Gender in Howe’s Hermaphrodite Laura Saltz 72 Chapter Four “Never the Half of Another”: Figuring and Foreclosing Marriage in The Hermaphrodite BetsY Klimasmith 93 vi • Contents Chapter Five Howe’s Hermaphrodite and Alcott’s “Mephistopheles”: Unpublished Cross-Gender Thinking JOYCE W.
    [Show full text]
  • A Voyage Through Scales Zoom Into a Cloud
    vv Blöschl A VOYAGE T THROUGH SCALES est. 2002 hybo Günter Blöschl Hans Thybo S Hubert Savenije avenije A VOY A GE THROUGH SC GE THROUGH A VOYAGE THROUGH SCALES Zoom into a cloud. Zoom out of a rock. Watch The Earth System in Space and Time the volcano explode, the lightning strike, an aurora undulate. Imagine ice A sheets expanding, retreating – pulsating – while continents continue their LES leisurely collisions. Everywhere there are structures within structures … within structures. A Voyage Through Scales is an invitation to contemplate the Earth’s extraordinary variability extending from milliseconds to billions of years, from microns to the size of the universe. T he E arth S ystem in ystem S pace and pace T ime est. 2002 T 2 A Voyage Through Scales A Voyage Through Scales 3L A VOYAGE THROUGH SCALES The Earth System in Space and Time T 4 A Voyage Through Scales A Voyage Through Scales L1 PREFACE Patterns of billions of stars on the night skies, cloud patterns, sea ice whirling in the ocean, rivers meandering in the landscape, vegetation patterns on hillslopes, minerals glittering in the sun, and the remains of miniature crea- tures in rocks – they all reveal themselves as complex patterns from the scale of the universe down to the molecu- lar level. A voyage through space scales. From a molten Earth to a solid crust, the evolution and extinction of species, climate fluctuations, continents moving around, the growth and decay of ice sheets, the water cycle wearing down mountain ranges, volcanoes exploding, forest fires, avalanches, sudden chemical reactions – constant change taking place over billions of years down to milliseconds.
    [Show full text]
  • Clinical Update
    Clinical Update Femtosecond Laser Brings New Level of Precision to Cataract Procedures The femtosecond laser has increased the the time the eye is open and eases stress on accuracy of the most common surgical the eye’s internal structures. And with such procedure in the United States, according to accuracy at our disposal, we anticipate the laser the surgeon who was instrumental in bringing will open new avenues of treatment that have the advanced tool to the UCLA Stein Eye never been possible before.” Institute last year. Surgeons at Stein Eye have been using the The Alcon LenSx, now used for precision cataract femtosecond laser to assist with several procedures at the Institute’s outpatient surgical steps of cataract surgery, including corneal center, emits optical pulses at the unimaginably incisions to remove the cataract and manage short duration of a femtosecond––one-millionth astigmatism, lens softening, and making an of one-billionth of a second. opening in the capsular bag. “A femtosecond laser can be thought of as For cataract procedures, the femtosecond laser a microscalpel, incising the cornea and lens system is gently docked to the patient’s eye capsule and breaking up the cataract on a and optical coherence tomography imaging Dr. Kevin Miller uses the Alcon LenSx femtosecond laser microscopic scale with an incredible level is used to map the eye’s internal structures. to assist with several steps of cataract surgery, under of precision,” says Kevin M. Miller, MD, Before the operation, the surgeon programs imaging guidance. The femtosecond laser enables Kolokotrones Chair in Ophthalmology. “With the location and size of the incisions as well physicians in the UCLA Stein Eye Institute’s new outpatient surgical center to operate more efficiently a femtosecond laser, I can operate more as the region of the lens to be softened.
    [Show full text]
  • An Ultrasound Portrait of the Embryonic Universe by an Dre W E, Lange
    \'1t han~ a cle" \,ICW. ha c k to that moment turn", , ransparcn!. By analog In cosmic h"'StofY when lh·e Ulll,-. .. rSIe y !O a human lifetime .. afler concepdon_b. rh,s IS about six hours r t,orc tht· l Yt;ore• has di"idt-d r:or t IIt fnst. time. ,. H~I~i!lI~G & \ { I E Nt E ... J !OOO An Ultrasound Portrait of the Embryonic Universe by An dre w E, Lange I've been working wirh relescopes carried aloft In fact, the woodcut is preny accurate-there by balloons since I was a graduate studem, We'd is a beyond, and in order to lead yo u to it, [ 'II have launch chern from Palestine, Texas , and my job to take you on a brief and rarher Caltech·cemric was to dri ve like a bat Oll[ of hell all night long tOur of modern cosmology. (That's nor hard to do, to Tuscaloosa, Alabama, to sec up rhe downrange beclluse Gltech has played a remarkably impor­ srarion, Then, when che balloon lost mdio coman ram role,) ['II talk llbom three seminal observa­ with Texas, I could receive rhe data in Alabama, tions. The fiTS[ was made by Edwin H ubble L ~ft: What would w~ s~e if And, as will nor surprise my wife, I was frequeml y at the t.k Wilson Observatory, which overlooks we (ould look beyond the scoPlx·d for spel1:ling--once in Louisiana, which is Pasadena, in 1929, Seveml people, narably Vesco visible heavens? something you never, ever want to have happen to Melvin Slipher, had noticed that the galaxies out­ you.
    [Show full text]
  • NGSS Physics in the Universe
    Standards-Based Education Priority Standards NGSS Physics in the Universe 11th Grade HS-PS2-1: Analyze data to support the claim that Newton’s second law of motion describes PS 1 the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. HS-PS2-2: Use mathematical representations to support the claim that the total momentum of PS 2 a system of objects is conserved when there is no net force on the system. HS-PS2-3: Apply scientific and engineering ideas to design, evaluate, and refine a device that PS 3 minimizes the force on a macroscopic object during a collision. HS-PS2-4: Use mathematical representations of Newton’s Law of Gravitation and Coulomb’s PS 4 Law to describe and predict the gravitational and electrostatic forces between objects. HS-PS2-5: Plan and conduct an investigation to provide evidence that an electric current can PS 5 produce a magnetic field and that a changing magnetic field can produce an electric current. HS-PS3-1: Create a computational model to calculate the change in energy of one PS 6 component in a system when the change in energy of the other component(s) and energy flows in and out of the system are known/ HS-PS3-2: Develop and use models to illustrate that energy at the macroscopic scale can be PS 7 accounted for as either motions of particles or energy stored in fields. HS-PS3-3: Design, build, and refine a device that works within given constraints to convert PS 8 one form of energy into another form of energy.
    [Show full text]
  • Intercommutation of U(1) Global Cosmic Strings
    Prepared for submission to JHEP Intercommutation of U(1) global cosmic strings Guy D. Moore Institut f¨urKernphysik, Technische Universit¨atDarmstadt Schlossgartenstraße 2, D-64289 Darmstadt, Germany E-mail: [email protected] Abstract: Global strings (those which couple to Goldstone modes) may play a role in cosmology. In particular, if the QCD axion exists, axionic strings may control the efficiency of axionic dark matter abundance. The string network dynamics depend on the string intercommutation efficiency (whether strings re-connect when they cross). We point out that the velocity and angle in a collision between global strings \renormalize" between the network scale and the microscopic scale, and that this plays a significant role in their intercommutation dynamics. We also point out a subtlety in treating intercommutation of very nearly antiparallel strings numerically. We find that the global strings of a O(2)- breaking scalar theory do intercommute for all physically relevant angles and velocities. Keywords: axions, dark matter, cosmic strings, global strings arXiv:1604.02356v1 [hep-ph] 8 Apr 2016 Contents 1 Introduction1 2 Global string review3 3 Renormalization of string angle and velocity5 4 Microscopic study of intercommutation9 5 Discussion and Conclusions 12 1 Introduction fsec:introg Cosmic strings [1,2] are hypothetical extended solitonic excitations which may play a sig- nificant role in cosmology. Their original motivation, for structure formation [3{5], appears in conflict with modern microwave sky data [6]. But cosmic strings may be important in other contexts. In particular, if the QCD axion [7,8] exists, the axion field may contain a string network in the early Universe [9] which may dominate axion production and play a central role in the axion as a dark matter candidate.
    [Show full text]
  • Chemistry in the Earth System HS Models: Handout 3
    High School 3 Course Model: Chemistry in the Earth System HS Models: Handout 3 Guiding Questions Chemistry in the Earth System Performance Expectations Instructional What is energy, how is it HS-PS1-3. Plan and conduct an investigation to gather evidence to compare the structure of substances at the bulk scale to infer the Segment 1: measured, and how does it strength of electrical forces between particles. [Clarification Statement: Emphasis is on understanding the strengths of forces between Combustion flow within a system? particles, not on naming specific intermolecular forces (such as dipole-dipole). Examples of particles could include ions, atoms, molecules, What mechanisms allow us and networked materials (such as graphite). Examples of bulk properties of substances could include the melting point and boiling point, to utilize the energy of our vapor pressure, and surface tension.] [Assessment Boundary: Assessment does not include Raoult’s law calculations of vapor pressure.] foods and fuels? (Introduced, but not assessed until IS3) HS-PS1-4. Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy. [Clarification Statement: Emphasis is on the idea that a chemical reaction is a system that affects the energy change. Examples of models could include molecular-level drawings and diagrams of reactions, graphs showing the relative energies of reactants and products, and representations showing energy is conserved.] [Assessment Boundary: Assessment does not include calculating the total bond energy changes during a chemical reaction from the bond energies of reactants and products.] (Introduced, but not assessed until IS4) HS-PS1-7.
    [Show full text]
  • Reduced Order Modelling of Streamers and Their Characterization by Macroscopic Parameters by Colin A
    Reduced order modelling of streamers and their characterization by macroscopic parameters by Colin A. Pavan BASc, University of Waterloo (2017) Submitted to the Department of Aeronautical and Astronautical Engineering in partial fulfillment of the requirements for the degree of Master of Science in Aeronautical and Astronautical Engineering at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2019 ○c Massachusetts Institute of Technology 2019. All rights reserved. Author................................................................ Department of Aeronautical and Astronautical Engineering May 21, 2019 Certified by. Carmen Guerra-Garcia Assistant Professor of Aeronautics and Astronautics Thesis Supervisor Accepted by........................................................... Sertac Karaman Associate Professor of Aeronautics and Astronautics Chair, Graduate Program Committee 2 Reduced order modelling of streamers and their characterization by macroscopic parameters by Colin A. Pavan Submitted to the Department of Aeronautical and Astronautical Engineering on May 21, 2019, in partial fulfillment of the requirements for the degree of Master of Science in Aeronautical and Astronautical Engineering Abstract Electric discharges in gases occur at various scales, and are of both academic and prac- tical interest for several reasons including understanding natural phenomena such as lightning, and for use in industrial applications. Streamers, self-propagating ioniza- tion fronts, are a particularly challenging regime to study. They are difficult to study computationally due to the necessity of resolving disparate length and time scales, and existing methods for understanding single streamers are impractical for scaling up to model the hundreds to thousands of streamers present in a streamer corona. Conversely, methods for simulating the full streamer corona rely on simplified models of single streamers which abstract away much of the relevant physics.
    [Show full text]
  • Antes: Bernabé Lax Rebled
    Empresa: En Activo LAX (Empresa Lax S.A.) Antes: Bernabé Lax Rebled Lleida / Tamarit de Litera (Huesca) Ubicación: Lleida Versión 10/2009 Historial Antes de 1939 Bernabé Lax Rebled ya atendía la línea Lérida - Almacellas - Tamarite de Litera. El 01-12-1952 obtiene la concesión definitiva de la línea V-195 estación de Ferrocarril de Tamarite - Altorrincón - Zaidín. El 17-04-1953 obtiene la de la línea V-284 Lérida - Tamarite de Litera. El 23-06-1967 unifica en una sola concesión (con hijuelas) todas sus líneas, transformandose en la U-97. Antes de 1982 se transforma en SA cambiando su denominación por la de Empresa Lax SA. Notas / Noticias Bus_(HU-8556-D)_Setra_1996-07(MS).jpg Bus_(HU-2627)_Man_(WHeraldo+MGV).jpg Coches Datos de Miquel Segura (actualizado 2008-04) HU-8556-D . Pegaso Setra Seida S154 HU-2845-N . Volvo B12 Noge Touring HU-0854-P . Noge Touring L-6695-U . Volvo B10M Beulas Stergo L-6081-T . Volvo B10M Noge Xaloc L-3608-AH Man 16.372 Noge Etna B-3992-MJ BAIXA. Pegaso 5231 Noge Xaloc II VS15231T2J7V70493 EX (?) -->EX - 91 Pujol i Pujol(GI) // A Froi Line (Roldán-MU-) 4443 BCT Renault Irizar Century II 1538 BXY - Beulas Eurostar 2882 BGK BAIXA. Volvo B12 Noge Touring A ALER,C (LL) 7615 CXZ Volvo Sunsundegui Sideral 4762 DML . Daf Beulas Aura 4957 DML . Daf Beulas Aura C-6311-BH . Daf SB3000 Ati Castrosua Master 35 EX- (?) Empresa: En Activo LAX (Empresa Lax S.A.) Antes: Bernabé Lax Rebled Lleida / Tamarit de Litera (Huesca) Ubicación: Lleida Datos de Concesiones hasta 1968 (de José Antº Tartajo): Timbre: OM Linea Prov Titular Propietario 20-09-1939 Lérida - Almacellas - Tamarite de Litera .
    [Show full text]
  • A Two-Scale Approach to Logarithmic Sobolev Inequalities and the Hydrodynamic Limit
    Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 2009, Vol. 45, No. 2, 302–351 DOI: 10.1214/07-AIHP200 © Association des Publications de l’Institut Henri Poincaré, 2009 www.imstat.org/aihp A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit Natalie Grunewalda,1, Felix Ottob,2, Cédric Villanic,3 and Maria G. Westdickenbergd,4 aInstitute für Angewandte Mathematik, Universität Bonn. E-mail: [email protected] bInstitute für Angewandte Mathematik, Universität Bonn. E-mail: [email protected] cUMPA, École Normale Supérieure de Lyon, and Institut Universitaire de France. E-mail: [email protected] dSchool of Mathematics, Georgia Institute of Technology. E-mail: [email protected] Received 30 May 2007; accepted 7 November 2007 Abstract. We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential. Résumé. Nous étudions un système sur réseau à variable de spin continue. Dans la première partie, nous établissons deux résultats abstraits : des conditions suffisantes pour une inégalité de Sobolev logarithmique avec constante indépendante de la dimension (Théorème 3), et des conditions suffisantes pour la convergence vers la limite hydrodynamique (Theorème 8). Dans la seconde partie, nous utilisons ces résultats abstraits pour traiter un exemple spécifique, à savoir la dynamique de Kawasaki avec un potentiel de type Ginzburg–Landau.
    [Show full text]
  • Time Scales for Rounding of Rocks Through Stochastic Chipping
    Time Scales for Rounding of Rocks through Stochastic Chipping D. J. Priour, Jr1 1Department of Physics & Astronomy, Youngstown State University, Youngstown, OH 44555, USA (Dated: March 10, 2020) For three dimensional geometries, we consider stones (modeled as convex polyhedra) subject to weathering with planar slices of random orientation and depth successively removing material, ultimately yielding smooth and round (i.e. spherical) shapes. An exponentially decaying acceptance probability in the area exposed by a prospective slice provides a stochastically driven physical basis for the removal of material in fracture events. With a variety of quantitative measures, in steady state we find a power law decay of deviations in a toughness parameter γ from a perfect spherical shape. We examine the time evolution of shapes for stones initially in the form of cubes as well as irregular fragments created by cleaving a regular solid many times along random fracture planes. In the case of the former, we find two sets of second order structural phase transitions with the usual hallmarks of critical behavior. The first involves the simultaneous loss of facets inherited from the parent solid, while the second transition involves a shift to a spherical profile. Nevertheless, for mono-dispersed cohorts of irregular solids, the loss of primordial facets is not simultaneous but occurs in stages. In the case of initially irregular stones, disorder obscures individual structural transitions, and relevant observables are smooth with respect to time. More broadly, we find that times for the achievement of salient structural milestones scale quadratically in γ. We use the universal dependence of variables on the fraction of the original volume remaining to calculate time dependent variables for a variety of erosion scenarios with results from a single weathering scheme such as the case in which the fracture acceptance probability depends on the relative area of the prospective new face.
    [Show full text]
  • Chapter1describing the Physical Universe
    Chapter 1 Describing the Physical Universe On June 21, 2004, SpaceShipOne became the first private aircraft to leave Earth's atmosphere and enter space. What is the future of this technology? Private companies are hoping to sell tickets to adventurous people who want to take a trip beyond Earth's atmosphere. Our study of physics can help us understand how such a trip is possible. Many people, when asked the question “What is physics?” respond with “Oh, physics is all about complicated math equations and confusing laws to memorize.” This response may describe the physics studied in some classrooms, but this is not the physics of the world around us, and this is definitely not the physics that you will study in this Key Questions course! In this chapter you will be introduced to what 3 Does air have mass and take up studying physics is REALLY all about, and you will space? What about light? begin your physics journey by studying motion and 3 How can an accident or mistake speed. lead to a scientific discovery? 3 What is the fastest speed in the universe? 3 1.1 What Is Physics? Vocabulary What is physics and why study it? Many students believe physics is a complicated set of rules, natural law, experiment, analysis, equations to memorize, and confusing laws. Although this is sometimes the way physics is taught, mass, system, variable, it is not a fair description of the science. In fact, physics is about finding the simplest and least macroscopic, scientific method, complicated explanation for things. It is about observing how things work and finding the independent variable, dependent connections between cause and effect that explain why things happen.
    [Show full text]