Analytical solutions of long nonlinear internal waves: Part I

The Gardner equation is an extension of the Korteweg–de Vries (KdV) equation. It exhibits basically the same properties as the classical KdV, but extends its range of validity to a wider interval of the parameters of the internal wave motion for a given environment. In this paper, we derive exact solitary wave solutions for the generalized Gardner equation that includes nonlinear terms of any order. Unlike previous studies, the exact solutions are derived without assuming their mathematical form. Illustrative examples for internal solitary waves are also provided. The traveling wave solutions can be used to specify initial data for the incident waves in internal waves numerical models and for the verification and validation of the associated computed solutions.     

Compaction process in sedimentary basins: the role of stiffness increase and hardening induced by large plastic strains

This paper is devoted to the simulation of large strain compaction process in sedimentary basins. Special attention is paid to the effects of large porosity changes on the elastic and plastic mechanical properties of the sediment material. The latter are introduced in the constitutive behaviour in the framework of a micromechanical reasoning. In particular, the proposed approach avoids the problem of negative porosities that are predicted by classical models under high confining pressures. Some closed‐form solutions are presented in the simplified case of one‐dimensional compaction. While the influence of stiffness increase is shown to be negligible as regards the compaction law, it proves to affect significantly the stress and porosity profiles. Copyright © 2004 John Wiley & Sons, Ltd.     

Shear reinforcement effect of reinforced concrete tie-columns on the lateral resistance of confined masonry walls

Tie-columns improve significantly the lateral resistance of masonry bearing walls against persistent, transient and accidental loads. The research work described herein has been carried out to assess the lateral resistance of confined masonry walls, where contribution of the masonry panel is evaluated according to material mechanics and tie-columns effect is estimated by a proposed analytical formulation based on a model reported on previously. This approach takes into account the effect of dowel support on the reaction of its adjacent shear reinforcement: the conditions for the various contributions of transverse reinforcements are better defined following a clear evaluation of the participation ratio of these reinforcements. Lateral resistances of confined masonry walls measured in full-scale tests and gleaned from the literature are compared and checked with resistances calculated using the present approach.     

Parametric study of near-wake structure of spherical and cylindrical bodies in the laboratory

Some aspects of the interaction between metal bodies and streaming rarefied plasmas were studied in a newly constructed Plasma Wind Tunnel as part of an attempt to investigate (via simulation) phenomena relevant to the spacecraft/space plasma interaction. Detailed near-wake ion current profiles for both spherical and cylindrical bodies at different body potentials (φ_S) and at different plasma flow parameters are presented. Various features of the profiles can be correlated, at least qualitatively, with both plasma and body characteristics. For example, the width of the wake zone appears proportional to the Debye length (λ_D) and depends on the potential of the target body although it appears to be relatively insensitive to the ratio $\text{S = V}{}_{\mathrm{<mtext>flow</mtext>}}\text{/(}\text{2kT}{}_{\mathrm{e}}\text{M}{}_{\mathrm{+}}\text{)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$. The amplitude of the ion current peak(s) also appears proportional to λ_D while, for fixed φ_S, the location of the peak is directly related to S and possibly dependent upon body geometry. The general importance of body geometry is qualitatively demonstrated. In addition, a discussion of the relevance of the above studies to previous in situ data obtained from the Ariel I and Gemini/Agena missions is given.     

Répartition des minéraux argileux et contrôle tectono-eustatique dans les bassins de la marge tunisienne

We have studied the clay assemblages found in the different palaeogeographic domains located at the several Tunisian margin basins, ranging in age from Palaeozoic to Neogene. This study has allowed us to characterize and highlight the relationship between the clay distribution in time and space and the geodynamic and eustatic events. Marine regressions, with the intensification of erosion, seem to be responsible for illite increases, whereas transgressions, in concordance with a warm and dry climate, coincide with the smectite dominance. The minimum marine level coincides with the abundance of palygorskite. Mineralogic changes in the clay assemblages as well as in the proportion of the different clay minerals will tentatively be related to erosive tectonic events and/or to subsiding and rifting events, marked by the inheritance or the neoformation of the several clays.     

Two‐dimensional finite element analysis of gravitational and lateral‐driven deformation in sedimentary basins

The paper deals with the modeling of some aspects, such as the formulation of constitutive equations for sediment material or finite element approach for basin analysis, related to mechanical compaction in sedimentary basins. In addition to compaction due to gravity forces and pore‐pressure dissipation, particular emphasis is given to the study of deformation induced by tectonic sequences. The numerical model relies upon the implementation of a comprehensive constitutive model for the sediment material formulated within the framework of finite poroplasticity. The theoretical model accounts for both hydromechanical and elasticity–plasticity coupling due to the effects of irreversible large strains. From the numerical viewpoint, a finite element procedure specifically devised for dealing with sedimentary basins as open systems allows to simulate within a two‐dimensional setting the process of sediment accretion or erosion. Several basin simulations are presented. The main objective is to analyze the behavior of a sedimentary basin during the different phases of its life cycle: accretion phase, pore‐pressure dissipation phase and compressive/extensional tectonic motions. Copyright © 2013 John Wiley & Sons, Ltd.     

Assessment of groundwater vulnerability using a specific vulnerability method: Case of Maritime Djeffara shallow aquifer (Southeastern Tunisia)

Groundwater resources are vulnerable to contamination especially in shallow aquifers. The aquifer hydrogeological parameters and the Land Uses category combinations lead to subdivide areas according to their contamination likelihood. In arid and semi-arid regions, shallow aquifers are more exposed to groundwater contamination due to high population densities (extensive uses) and agricultural activities (nitrate contamination). Moreover, these regions are characterized by low rainfall and high evaporation. Furthermore, the spread of farmland, industrial and domestic sectors, is the principal contaminant producer which threats the groundwater quality. To protect these limited resources, the groundwater vulnerability assessment was developed in Maritime Djeffara shallow aquifer (Southeastern Tunisia). The study area is essentially occupied by agricultural areas (intensive use of chemical fertilizers) in addition to the discharge of industrial zones. The main objective of this study is to assess the aquifer vulnerability using the Susceptibility Index (SI) method as a specific vulnerability model. The results show that the study area is classified into five classes of vulnerability: very low, low, medium, high, and very high (1.54, 20, 41.54, 35.9, and 1.02%, respectively) with an uneven spatial distribution. The risk results exhibit three degrees: low, moderate, and high. The validation of the vulnerability model was performed by using salinity values and nitrate concentrations with a correlation coefficient of about 57 and 55%, respectively. This study could serve as a scientific basis for sustainable land use planning and groundwater management in the study area.