David G. Zeitoun

• PhD
• Research Assistant at Jerusalem College of Technology

This paper addresses the problem of large-scale groundwater modeling where the available groundwater level data and pumping tests are scarce. For a specific pumping area, head data is available, while for other large areas of the aquifer, limited data is available. In such an aquifer, the use of the calibration procedure leads to poorly conditioned...

We study a 1-parameter family of trigonometric definite integrals, showing how the joint usage of Information and Communication Technologies and paper-and-pencil work lead to different outputs, revealing different mathematical meanings and different concrete meanings. This family of integrals is useful for describing a phenomenon in soil mechanics,...

In this chapter, the various mathematical models currently used for the analysis of soil deformation for each type of subsidence are presented. The various models of subsidence are presented in terms of a geometrical model of the porous media is needed and a definition of representative element volume (REV); the variables of the model and the gover...

In this section, the different types of land subsidence are discussed. They are separated into natural causes and man-induced causes. The natural causes are mainly geological causes, such as formations of caves, sinkholes, and karst topography. The man-induced causes are mainly mining or fluid withdrawal (groundwater and/or oil or gas). Also, loads...

In this chapter, first a review of the iterative methods proposed for the numerical solution of the coupled Biot equations is presented. Then, the numerical scheme based on the decoupling method of the solution of the Biot model is presented. The numerical method, called the compartmental model is similar to the finite-volume method. We describe th...

In this chapter, the implementation of the methodology is described on a modeling study of the Bangkok area. The use of historical satellite maps of the urbanization of the Bangkok area is connected with the GIS system. The building of the model data is described in detail. We analyze separately the different types of effects. The computational of...

The maximum permissible land subsidence (or consolidation) is a constraint in various management problems such as: groundwater management (Ramnarong and Buapeng 1991; Brozovic et al. 2006), and the planning of town and the laws on building construction (Corwin et al. 1991). In order to develop a legal framework to litigation, it is essential that d...

In this chapter, we describe the Terzaghi theory of consolidation as a way of decoupling the general Biot equations using the assumption of constant total stress. We detailed the computation of the water pressure and the soil displacement. The classical one-dimensional theory is presented with solved exercises. We also discuss the use of the theory...

In this chapter, the interface of the software is described in general terms, and we have detailed the computation of the different types of loadings and the input data.

In this chapter, we present the constitutive equations of the Biot model. The main difficulties of this model are the coupling of the equations and the application of the superposition principle. We present the general solution of the coupled problem resulting from the Biot model. This solution is based on a new method for decoupling the equations....

Water resource system planners make decisions that guide water management policy. The fundamental tools for assessing management and infrastructure strategies are combined hydro-economic models of river basins (RBHE models). These models have improved the economic efficiency of water use in situations of competition for scarce water resources. In R...

The study of a real function of two real variables can be supported by visualization using a Computer Algebra System (CAS). One type of constraints of the system is due to the algorithms implemented, yielding continuous approximations of the given function by interpolation. This often masks discontinuities of the function and can provide strange pl...

The study of a real function of two real variables can be supported by visualization using a Computer Algebra System (CAS). One type of constraints of the system is due to the algorithms implemented, yielding continuous approximations of the given function by interpolation. This often masks discontinuities of the function and can provide strange pl...

The planning of water resources management needs to coordinate effectively the social needs of the resident population with operational water resources management planning. For this purpose, a pyramidal Hierarchy of water resource management need, similar to that suggested by psychologist Abraham Maslow for human social has been proposed for the pl...

The Kefar Uria group of wells have experienced an increase of salinity of the pumped water in the last two decades. The source of salinity is not known. Geohydrological and geochemical considerations of Part 1 (Avissar et al., in press) suggest two possible mechanisms and sources. The first source is infiltrating at the top of the aquifer, in conta...

The basic elements of groundwater quality monitoring programs in general, and saltwater intrusion control in particular, involve the definition of monitoring policy and objectives. The implementation of these objectives include design of facilities and instruments, field surveys, sample collection, data analysis, evaluation of the information, char...

Models of salt and fresh waters flow in coastal aquifers serve as important tools for assessing the extent of saltwater intrusion and for planning the rational exploitation of water resources. In a few circumstances the seawater is separated from the overlaying freshwater body by a relatively narrow zone which can be approximated by a sharp interfa...

Aquifers are known to display spatial variability of their properties. To account for the seemingly erratic variation and the uncertainty affecting the permeability, the common approach is to regard it as random and to characterize it statistically. The present note studies the steady axisymmetric water table flow toward a well and interface upconi...

We consider the problem of a sharp interface between salt and fresh waters in an aquifer of spatially variable permeability. We assume a layered structure, with permeability a stationary random function of the vertical coordinate, of given mean and two point covariance. The flow is shallow and it obeys the Dupuit assumption.We derive an exact analy...

The late Albian-Turonian Judea Group carbonate aquifer is one of the most important resources of fresh groundwater in the northern Negev and in the central part of Israel. Over three decades ago, various hydrological, hydrochemical, hydrometeorological and geological aspects of this aquifer were thoroughly investigated and served to build up the pr...

Discusses computational methods for the analysis of settlement and differential settlement of shallow foundations due to the spatial variability of soil. The soil is modelled as a random elastic medium with constant Poisson's ratio and a random shear modulus characterized by average value, standard deviation and autocorrelation function. The stocha...

The effect of the spatial variability of soil parameters on the calculated settlement and stresses is analyzed. The soil is taken as an elastic solid with random shear modulus and a constant Poisson's ratio. A wave-number domain approach is proposed for the approximate solution of an elasticity problem in which the shear modulus is a random functio...

A stochastic version of the classical problem of an infinite “beam on elastic support” is analyzed using a functional expansion due to Adomian. In this procedure the solution is represented as an infinite series of multiple integrals. It is shown that the solution series converges in the mean square sense provided that the coefficient of variation...

Simple finite strain versions of the Maxwell and Kelvin-Voigt viscoelastic solids are investigated within the framework of continuum mechanics. Three-dimensional constitutive equations are examined with two different measures of the strain-rate tensor: the standard Eulerian strain rate and the Jaumann rate of the logarithmic strain tensor. The anal...

An analysis of an infinite beam on random Winkler foundation is presented. The solution is based on the small fluctuation approximation which is similar to a first order perturbation procedure. The displacement of the beam is found to be a nonhomogeneous random function with a space dependent spectrum. Explicit expression is presented for the spati...

Lack of information about the spatial distribution of the modulus of subgrade reaction results in significant uncertainty with respect to the true value of the calculated displacements, shear forces and moments in the analysis of “beams on elastic support”. In order to incorporate this uncertainty into the analysis, the spatial distribution of the...

The paper presents an approximate solution of an elasticity problem in which the shear modulas G(x) is a homogeneous random function of position. G(x) is defined by the following statistical moments: average value G0, a (constant) standard deviation σG and the autocorrelation function characterized by the autocorrelation distance r0. Under a “small...