Pergamon Int. Comm. HeatMass Transfer, Vol. 26, No. 4, pp. 539-547, 1999 Copyright © 1999 Elsevier Science Ltd Printed in the USA. All rights reserved 0735-1933/99IS--see front matter PII 80735-1933(99)00040-8 ON HOMOGENIZATION OF DIFFUSION PROCESSES IN MICROPERIODIC STRATIFIED BODIES S.J. Matysiak, R Mieszkowski Institute of Hydrogeology and Engineering Geology, Faculty of Geology, University of Warsaw, A1. Zwirki i Wigury 93, 02-089 Warsaw, Poland (Communicated by J.P. Hartnett and W.J. Minkowycz) ABSTRACT The aim of this contribution is to present the homogenized model of the diffusion processes in microperidic stratified bodies. The considerations are based on the linear Fick's theory of diffusion and the procedure of microlocal modelling [11]. The obtained model takes into account certain microlocal structure of the body. As the illustration of the application of presented model, a simple example is given. © 1999 Elsevier Science Ltd Introduction The bodies with microperiodic layered structures can be made by man (laminated composites) or can be found in nature (warved clays, sandstone-slates, sanstone-shales, thin- layered limestones). The knowledge of diffusion processes in the microperiodic stratified bodies is very important in the chemical engineering, material technology and environmental engineering. The warved clays are applied as natural bariers in the construction of waste dumps. The investigations of microstructures of clay solid with their classification are presented in [8]. The problems of diffusion in heterogeneous media have been investigated by many authors (see for Re£ [ 1-4], [7] and [9] However, the methods of solutions of boundary value diffiusion problem mainly were based on the numerical approaches. 539