Download The self-potential method : theory and applications in by André Revil; Abderrahim Jardani PDF

By André Revil; Abderrahim Jardani

The self-potential technique allows non-intrusive evaluate and imaging of disturbances in electric currents of conductive subsurface fabrics. It has more and more purposes, from mapping fluid move within the subsurface of the Earth to detecting preferential stream paths in earth dams and embankments. This ebook offers the 1st complete evaluate of the elemental recommendations of this system and its purposes within the box. It discusses a old point of view, laboratory investigations undertaken, the inverse challenge, and seismoelectric coupling, and concludes with the applying of the self-potential technique to geohazards, water assets and hydrothermal platforms. bankruptcy workouts and on-line datasets and analytical software program permit the reader to place the speculation in perform. This publication is a key reference for educational researchers and pros operating within the parts of geophysics, environmental technology, hydrology, and geotechnical engineering. it's going to even be important analyzing for comparable graduate classes

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3 Brief history 15 potential barriers; see Revil et al. (2010). These concepts of geobatteries were also tested and confirmed in the laboratory by Timm and M¨oller (2001), Naudet and Revil (2005), and Castermant et al. (2008), and will be extensively discussed below in Chapters 2 and 3. A second contribution to the development of the self-potential method is related to concentration gradients of ionic species in the pore water, the so-called diffusion current or potential. , 1932, 1933). In this case, the contribution to the measured electrical potential comes from the difference of ionic concentrations between the mud filling the well and the pore water of the formations.

6) where D(±) = kb T β(±) /e is the diffusion coefficient of the ionic species (note the relationship between the diffusion coefficients and the mobilities of the ionic species, both are defined by two different phenomena, diffusion and electromigration, and both are interrelated because they express the movement of the ions in the water phase). Perform a dimensional analysis of Eqs. 6). (2) Starting with Gauss’s law εf ∇ · E = ρ (where ρ is the charge density) for a medium (here the pore water) of dielectric constant εf and where E is the electrical field, demonstrate that the electrostatic potential in the vicinity of the mineral surface obeys the following partial differential equation called the Poisson–Boltzmann equation: 2Cf e eψ(x) d 2 ψ(x) = sinh .

We note u the internal energy of the system. 28) i=1 where ui denotes the internal energy of species i, and Hm is the conductive heat flux including heat transported by mass diffusion (Nitao and Bear, 1996). 1 Non-equilibrium thermodynamic 29 where (positive or negative) denotes the power per unit mass and temperature. The term ρT corresponds to the energy sources provided to the system by external sources and is not accounted for by de Groot and Mazur, 1984). 30) i=1 Q (ui I − σ¯ i /ρi )Jm i .

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