in this paper, fourteen mt stations along a profile perpendicular to the main geological structure were used in order to identify the geology of sabalan geothermal field including the extension of the surface cap-rock and clay-cap layers. the mt data collected between 1-8192 hz is of useful quality and provides good control on the surface layers in many areas. it means that reliable modeling sh...

The small-size partially filled one-dimensional (1D) lattice gas system with 1/r repulsive interactions is numerically studied. Our results indicate that phase change with vacancy ordering involved exists in the partially filled 1D lattice gas systems, and the phase properties of the studied system strongly depend on the occupancy nav and the interaction strength δ. Most interestingly, it is fo...

Radiative transfer (RT) theory is often invoked to describe energy propagation in strongly scattering media. Fitting RT to measured wave field intensities is rather different at late times, when the transport is diffusive, than at intermediate times (around one extinction mean free time), when ballistic and diffusive behavior coexist. While there are many examples of late-time RT fits, we descr...

A model order reduction method is developed and applied to 1D diffusion systems with negative real eigenvalues. Spatially distributed residues are found either analytically (from a transcendental transfer function) or numerically (from a finite element or finite difference state space model), and residues with similar eigenvalues are grouped together to reduce the model order. Two examples are ...

In this paper, we consider a viscous bilayer shallow water model in one space dimension that represents two superposed immiscible fluids. For this model, we prove the existence of strong solutions in a periodic domain. The initial heights are required to be bounded above and below away from zero and we get the same bounds for every time. Our analysis is based on the construction of approximate ...

Fluorine (19F) NMR has emerged as a useful tool for characterization of slow dynamics in 19F-labeled proteins. One-dimensional (1D) 19F NMR spectra of proteins can be broad, irregular and complex, due to exchange of probe nuclei between distinct electrostatic environments; and therefore cannot be deconvoluted and analyzed in an objective way using currently available software. We have developed...

INTRODUCTION Mathematical modelling is a helpful tool to analyse complex systems, but its development and application to the composting process has been rather scarce up to date. The use of mathematical models is common in complex biological processes such as the activated sludge wastewater treatment and the anaerobic digestion process, both systems operating on a single isothermal phase. Compo...