Topological Groundwater Hydrodynamics
نویسنده
چکیده
Topological groundwater hydrodynamics is an emerging subdiscipline in the mechanics of ¯uids in porous media whose objective is to investigate the invariant geometric properties of subsurface ¯ow and transport processes. In this paper, the topological characteristics of groundwater ¯ows governed by the Darcy law are studied. It is demonstrated that: (i) the topological constraint of zero helicity density during ¯ow is equivalent to the Darcy law; (ii) both steady and unsteady groundwater ¯ows through aquifers whose hydraulic conductivity is an arbitrary scalar function of position and time are con®ned to surfaces on which the streamlines of the ¯ow are geodesic curves; (iii) the surfaces to which the ¯ows are con®ned either are ¯at or are tori; and (iv) chaotic streamlines are not possible for these ¯ows, implying that they are inherently poorly mixing in advective solute transport.
منابع مشابه
Numerical Simulation of Groundwater Level Using MODFLOW Software (a Case Study: Narmab Watershed, Golestan Province)
To evaluate the effects of the current situation and future development on Source groundwater whether quantitative or qualitative point of view, simulation computer resources, a powerful tool in the optimal utilization of source is considered. Year recent several model of math and computer simulation of hydraulic behavior of underground water resources focus is located. Like making mathematical...
متن کاملNumerical Simulation of Groundwater Level Using MODFLOW Software (a Case Study: Narmab Watershed, Golestan Province)
To evaluate the effects of the current situation and future development on Source groundwater whether quantitative or qualitative point of view, simulation computer resources, a powerful tool in the optimal utilization of source is considered. Year recent several model of math and computer simulation of hydraulic behavior of underground water resources focus is located. Like making mathematical...
متن کاملTurbulence and the Navier-Stokes Equations
The concept of continuous topological evolution, based upon Cartan’s methods of exterior differential systems, is used to develop a topological theory of non-equilibrium thermodynamics, within which there exist processes that exhibit continuous topological change and thermodynamic irreversibility. The technique furnishes a universal, topological foundation for the partial differential equations...
متن کاملHydrologic and geochemical controls on soluble benzene migration in sedimentary basins
The effects of groundwater flow and biodegradation on the long-distance migration of petroleum-derived benzene in oil-bearing sedimentary basins are evaluated. Using an idealized basin representation, a coupled groundwater flow and heat transfer model computes the hydraulic head, stream function, and temperature in the basin. A coupled mass transport model simulates water washing of benzene fro...
متن کامل