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The book discusses methods and results from the theory of homogenization and their applications to flow and transport in porous media. It offers a systematic and rigorous treatment of upscaling procedures related to physical modelling for porous media on micro-, meso-and macro scales.§The chapters are devoted to perocolation, Newtonian, non-Newtonian phenomena, two phase flow, miscible displacement, thermal and elastic effects. Detailed studies of micro-structure systems and computational results for dual-porosity models are presented.