[MGI29-P01] Modelling of self-potential signals associated with groundwater flows
Keywords:self-potential, ground water flow, modelling
SP signals measured in the sandbox during pumping experiment are considered to be due to the electro-kinetic effects. The total current density j is j=sE-ldh/dxi , where s (in S m−1) is the electrical conductivity, E (in Vm-1) is the electric field, l (in A Pa−1 m−1) is the current coupling coefficient, and h (in m) is the hydraulic head. The variation of SP signals of the sandbox gives quasi-instantaneous information on changes of the hydraulic head. Therefore we consider this problem with quasi-static limit condition i.e. div j = 0. It leads div(sgradphi)=-div(lgradh).Where phi (in V) is electric potential. In addition, we assume that s and l are uniform through the sandbox because we assume saturated condition. Finally, the solved equation is sd2phi/dxi2=-ld2h/dxi2. We simulated distribution of hydraulic head during pumping test using finite element method. Then, we modeled the SP generation.
Consequently, the variation of SP modeled and observed are generally consistent with each other. Therefore, we found that groundwater flows control the occurrence of SP in the sandbox experiment. However, in the detail of time variation, modeled SP differ from those of observed partly. We consider that heterogeneity of soil or necessary of 3D modeling could cause these discordances. Details will be shown in our presentation.