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Within the framework of the elastoplastic model, the development of irreversible deformation during horizontal compression of a sedimentary layer lying on a rigid foundation is considered. The influence of strength parameters of the medium and friction in the base on the configuration of plasticity zones and localization of deformation has been studied. Analytical estimates are made of the depths at which irreversible deformation develops, as well as their changes as a result of an increase in horizontal stresses. With the help of numerical simulation, the features of the origin and development of localized shear bands are shown. Schemes are constructed illustrating the nature of the development of localization bands depending on the properties of the medium.