A geostatistical approach to an inverse problem : Identification of geometry and estimate of equivalent conductivities for highly heterogeneous porous media with the differential system method
Articolo
Data di Pubblicazione:
2007
Citazione:
A geostatistical approach to an inverse problem : Identification of geometry and estimate of equivalent conductivities for highly heterogeneous porous media with the differential system method / B. Ortuani. - In: ADVANCES IN WATER RESOURCES. - ISSN 0309-1708. - 30:4(2007), pp. 772-793.
Abstract:
A methodology for identifying the geometry of different materials in highly heterogeneous porous media in discrete inverse problems
(DIP) is described. It applies a geostatistical approach within the differential system method (DSM). DSM calculates conductivity values
along an integration path beginning at a point with known conductivity. In aquifers with zero source terms, DSM completely describes
the conductivity field through a spatially distributed parameter depending on hydraulic head gradients and integration path. A factor
analysis of the structural components of this parameter (i.e. coregionalisation analysis) was carried out to identify the geometry of different
materials, corresponding to distinct statistically homogeneous areas. The equivalent conductivity values for homogeneous areas
were estimated.
This approach was applied for a synthetic aquifer. The identification of geometry was accurate and the estimates of equivalent parameters
were good, compared with reference values. The accuracy of the results depended on errors in hydraulic gradients, compared with
conductivity gradients.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Differential system method; Equivalent parameter; Geometry; Geostatistical approach; Highly heterogeneous porous media; Inverse problem
Elenco autori:
B. Ortuani
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