Modelling the Effects of Blasting on Rock BreakageBy V.A. Borovikov

Table of Contents

Prerace -- 1. Theoretical Concepts of Modelling the Effects of Blasting in Different Media -- 1 .1 Elements of Dimensional Analysis -- 1 .2 Fundamental Theor����ms and Additional Conditions of Similarity -- 1.2.1 Parameters determining the class and group of phenomena and a unique phenomenon -- 1.2.2 Concept of similarity -- 1 .2.3 Fundamental theorems and additional conditions of similarity -- 1.3 Concept of Imperfect and Approximate Similarity -- 1 .4 Fundamental Concepts of Modelling -- 2. Application of Theories of Similarity and Dimension to Investigations into Blast Effects in Various Media -- 2.1 Hydrodynamic Similarity Criteria in Blasting in Water and Air Media -- 2.1.1 Similarity criteria in hydrodynamics -- 2.1.2 Similitude criteria in the theory of blasting in water and air media -- 2.2 The Problem of a Powerful Blast (L.I. Sedov's Solution) -- 2.3 Specific Features of Similarity Criteria in the Constraction of Buildings Subjected to Explosion Indirectly -- 2.4 Approximate Evaluation of Pressure Fields in Blasts under Water and in Air in an Unconfined Medium -- 2.4.1 Pressure field induced by blasting in air -- 2.4.2 Pressure field induced by an underwater explosion -- 2.5 Similitude Criteria Applied to Blasting in Rocks -- 2.6 Evaluation of Stress Field while Blasting in Rocks under Conditions of an Unconfined Medium -- 3. Physical Modelling of Blast Effects in Rock Breakage -- 3.1 Essential Features of Physical Modelling Methods Based on Newton's Mechanical Similitude and Illustrations Related to their Use -- 3.1.1 Theoretical principles of mechanical modelling methods -- 3.1.2 Modelling of stress waves by the method of equivalent materials -- 3.1.3 Centrifugal modelling of blast effects in rocks -- 3.1.4 Photoelastic method -- 3.1.5 Solution to certain problems accompanying the blast effect in rocks, by the photoelastic method -- 3.2 Modelling Blast Effects Based on Dynamic and Energetic Similitudes under Laboratory and Full-scale Conditions -- 3.2.1 Methods of recording processes occurring in near-field zone of a blast -- 3.2.2 Methods for conducting model experiments for studying the processes occurring in mid-field zone of a blast -- 3.2.3 Methods of modelling air blasts and seismic waves induced by large-scale blasts in rocks -- 3.3 Modelling Shock and Stress Waves in Near-field Zone of a Blast -- 3.4 Modelling Development of Crater and Rupture Zones in Camouflet Blasting -- 3.5 Modelling Patterns of Propagation of Stress Waves and Blast-induced Stress Waves -- 3.6 Modelling Effects of Blast-induced Seismic Waves and Stress Waves on Buildings and Structures -- 3.6.1 Modelling effects of stress waves -- 3.6.2 Modelling seismic effects -- 3.7 Modelling Various Phenomena Associated with the Piston Effect of Gaseous Products of an Explosion -- 3.7.1 Modelling initial movement of broken rock -- 3.7.2 Modelling inertial motion of rock mass -- 3.7.3 Modelling throw of rock mass and formation of blast cone -- 3.8 Modelling the Muck Pile and its Consolidation -- 3.9 Modelling Fragmentation of Rock by Blasting -- 4. Mathematical Fundamentals of Modelling Blast Effects in Rocks -- 4.1 Theoretical Principles of Mathematical Modelling -- 4.1 .1 Theory of analogue models -- 4.1.2 Fundamentals of the theory of analogue computers -- 4.1 .3 Computing devices -- 4.2 Design of Electric Network Machines and Computing Devices -- 4.2.1 Electric network machines -- 4.2.2 Structured analogue computers -- 4.3 Simulation of Blast Effect by Method of Electrohydrodynamic Analogy -- 4.3.1 Fundamentals of simulating rock fragmentation by blasting, using the method of hydrodynamic analogy -- 4.3.2 Possibility of applying the method of hydrodynamic analogy for simulating various processes of rock fragmentation by blasting and its future prospects -- 4.4 Examples for Simulation of Wave Motion by Using Electric Networks and Computers -- 4.4.1 Solving ordinary differential equations on an analogue computer (ABM) -- 4.4.2 Generating solutions to differential equations in partial derivative form using an ABM -- 4.4.3 Mathematical simulation of wave motion induced Literature Cited by a blast.