03514nam 2200505 450 991042515880332120210217145925.03-030-52414-010.1007/978-3-030-52414-2(CKB)4100000011457844(DE-He213)978-3-030-52414-2(MiAaPQ)EBC6353690(PPN)250223163(EXLCZ)99410000001145784420210217d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierModelling the evolution of natural fracture networks methods for simulating the nucleation, propagation and interaction of layer-bound fractures /Michael John Welch, Mikael Lüthje, Simon John Oldfield1st ed. 2020.Cham, Switzerland :Springer,[2020]©20201 online resource (XVIII, 230 p. 254 illus., 171 illus. in color.) 3-030-52413-2 Introduction -- Conceptual Model -- Modelling Microfractures -- Modelling Macrofractures -- Active and Static Fractures -- Elastic Moduli and Stress -- Controls on Fracture Evolution -- Some Outcrop Examples -- Application to the Subsurface -- Conclusions and Further Work.This book presents and describes an innovative method to simulate the growth of natural fractural networks in different geological environments, based on their geological history and fundamental geomechanical principles. The book develops techniques to simulate the growth and interaction of large populations of layer-bound fracture directly, based on linear elastic fracture mechanics and subcritical propagation theory. It demonstrates how to use these techniques to model the nucleation, propagation and interaction of layer-bound fractures in different orientations around large scale geological structures, based on the geological history of the structures. It also explains how to use these techniques to build more accurate discrete fracture network (DFN) models at a reasonable computational cost. These models can explain many of the properties of natural fracture networks observed in outcrops, using actual outcrop examples. Finally, the book demonstrates how it can be incorporated into flow modelling workflows using subsurface examples from the hydrocarbon and geothermal industries. Modelling the Evolution of Natural Fracture Networks will be of interest to anyone curious about understanding and predicting the evolution of complex natural fracture networks across large geological structures. It will be helpful to those modelling fluid flow through fractures, or the geomechanical impact of fracture networks, in the hydrocarbon, geothermal, CO2 sequestration, groundwater and engineering industries.Rock deformationMathematical modelsFaults (Geology)Mathematical modelsGeological surface processes (geomorphology)Rock deformationMathematical models.Faults (Geology)Mathematical models.Geological surface processes (geomorphology)551.8Welch Michael John334695Lüthje MikaelOldfield Simon JohnMiAaPQMiAaPQMiAaPQBOOK9910425158803321Modelling the evolution of natural fracture networks2096629UNINA01391nkm 2200373 450 991070267240332120140926145603.0(CKB)5470000002429463(OCoLC)891384759(EXLCZ)99547000000242946320140926d1918 ua iengurmn|||||||||stirdacontentcrdamediacrrdacarrierHelp our town win this flag honor flag, 4th Liberty loan honor roll of subscribersChicago :Edwards & Deutsch Litho. Co.,[1918][Washington, D.C.] :United States, Dept. of the Treasury, Publicity Bureau.1 online poster (1 poster) colorTitle from title screen (viewed Sept. 26, 2014).Publication pre-dates Federal Depository Library Program (FDLP) item numbers. No FDLP item number has been assigned.Help our town win this flag World War, 1914-1918United StatesPostersWorld War, 1914-1918FinancePostersWorld War, 1914-1918World War, 1914-1918FinanceUnited States.Department of the Treasury.Publicity Bureau,GPOGPOBOOK9910702672403321Help our town win this flag3481429UNINA04532nam 2200613 450 991078825570332120170822122859.01-4704-1957-2(CKB)3150000000020208(EBL)3114329(SSID)ssj0001384043(PQKBManifestationID)11786523(PQKBTitleCode)TC0001384043(PQKBWorkID)11327360(PQKB)11330527(MiAaPQ)EBC3114329(RPAM)18064723(PPN)197102697(EXLCZ)99315000000002020820150417h20142014 uy 0engur|n|---|||||txtccrOperator methods in wavelets, tilings, and frames /Veronika Furst, Keri A. Kornelson, Eric S. Weber, editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (177 p.)Contemporary Mathematics,1098-3627 ;626Description based upon print version of record.1-4704-1040-0 Includes bibliographical references at the end of each chapters.""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Participants""; ""Phase retrieval by vectors and projections""; ""1. INTRODUCTION""; ""2. PHASE RETRIEVAL BY VECTORS""; ""3. PHASE RETRIEVAL BY PROJECTIONS""; ""References""; ""Scalable frames and convex geometry""; ""1. Introduction""; ""2. Preliminaries""; ""3. Scalable Frames and Convex Polytopes""; ""4. Topology of the Set of Scalable Frames""; ""ACKNOWLEDGMENTS""; ""References""; ""Dilations of frames, operator-valued measures and bounded linear maps""; ""1. Introduction""; ""2. Frames, Framings, and Operator-Valued Measures""""3. Dilations of Operator-Valued Measures""""4. Dilations of Bounded Linear Maps""; ""5. Some Remarks and Problems""; ""References""; ""Images of the continuous wavelet transform""; ""1. Introduction""; ""2. General notations and definitions""; ""3. Wavelets and square-integrable representations""; ""4. Inside _{\overline{ }}( ) for an irreducible ""; ""5. The _{ } as subspaces of â??Â²( )""; ""References""; ""Decompositions of generalized wavelet representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Direct Integral Decompositions""""4. Irreducibility of the Fiber Representations""""Acknowledgment""; ""References""; ""Exponential splines of complex order""; ""1. Preliminaries on Exponential Splines""; ""2. Brief Review of Polynomial and Exponential B-Splines""; ""3. Polynomial Splines of Complex Order""; ""4. Exponential Splines of Complex Order""; ""5. Summary and Further Work""; ""References""; ""Local translations associated to spectral sets""; ""1. Introduction""; ""2. Local translations""; ""3. Examples""; ""References""; ""Additive spectra of the 1/4 Cantor measure""; ""1. Introduction""; ""2. Background""""3. Isometries""""4. Spectral function decompositions""; ""Acknowledgements""; ""References""; ""Necessary density conditions for sampling and interpolation in de Branges spaces""; ""1. Introduction""; ""2. Homogeneous Approximation Property""; ""3. Necessary Conditions for Sampling and Interpolating""; ""4. The Plancherelâ€?Polya Inequality""; ""References""; ""Dynamical sampling in hybrid shift invariant spaces""; ""1. Introduction""; ""2. Constructing a hybrid shift invariant space""; ""3. Dynamical sampling in hybrid shift invariant spaces""; ""4. Main results""""5. Conclusions and future work""""6. Appendix""; ""Acknowledgment""; ""References""; ""Dynamical sampling in infinite dimensions with and without a forcing term""; ""1. Introduction""; ""2. Dynamical sampling in infinite dimensions""; ""3. Dynamical Sampling with a Forcing Term""; ""References""; ""Back Cover""Contemporary mathematics (American Mathematical Society) ;626.Frames (Combinatorial analysis)Wavelets (Mathematics)Frames (Combinatorial analysis)Wavelets (Mathematics)511/.6Furst Veronika1979-Kornelson Keri A.1967-Weber Eric S.1972-MiAaPQMiAaPQMiAaPQBOOK9910788255703321Operator methods in wavelets, tilings, and frames3855172UNINA