Modelling the Effects of Blasting on Rock Breakage

V. A. Borovikov and I.F. Vanyagin

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