 |
| Titel |
Scales and upscaling in groundwater flow and transport |
| VerfasserIn |
Gedeon Dagan, Aldo Fiori |
| Konferenz |
EGU General Assembly 2015
|
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 17 (2015) |
| Datensatznummer |
250105464
|
| Publikation (Nr.) |
 EGU/EGU2015-4990.pdf |
|
|
|
|
|
| Zusammenfassung |
| Fluid flow and solute transport in porous formations occur at a hierarchy of 4 fundamental
scales: the pore scale O(10-4m), the laboratory or Darcy scale O(10-2m), the local
formation three-dimensional scale O(100m) and the regional two-dimensional scale
O(102m). At each scale the porous formation displays spatial variability of its properties and
upscaling is carried out in space solely. The equations of flow and transport obeyed by the
upscaled variables (pressure, flux, concentration) at each scale result from upscaling
of the equations at the scale preceding it. The passage from Stokes equation at
pore scale to Darcy’s Law at the laboratory one (introducing the permeability K)
and the subsequent passages to the upscaled Darcy’s Law involving the effective
permeability Kef at formation and regional scales, are first discussed. Subsequently,
a similar analysis is applied to upscaling of the transport equation. The selected
upscaling approach is the stochastic one: the medium local properties are regarded
as random space functions and upscaled variables, result of volume averaging,
are also random. The main interest is in the ensmble mean values and the related
effective properties appearing in the upscaled flow and transport equations. The
presentation is focussed on a few issues of principle: what is the role of separation of
scales? how restrictive is the requirement of statistical stationarity? what is the
impact of nonergodic behavior? how are the theoretical results validated by field
experiments? |
|
|
|
|
|
|