標題: Uncertainty in the Volume Strain Field of the Solid in Unsaturated Heterogeneous Deforming Media
作者: Chang, Ching-Min
Yeh, Hund-Der
環境工程研究所
Institute of Environmental Engineering
公開日期: 1-Nov-2011
摘要: In a partially saturated, heterogeneous deforming aquifer, we analyzed the solid's volume strain field within a stochastic framework. The differential equations describing the first two moments of the solid's volume strain field were developed through the perturbation approach. To solve the problem analytically, focus was placed on the one-dimensional model. The resulting closed-form solutions (namely, the first two moments of the solid's volume strain field) were obtained using the nonstationary spectral approach in conjunction with the principle of superposition. They are functions of the statistical properties of the logarithm of the saturated hydraulic conductivity and a soil pore size distribution parameter. It can be concluded from the analytical solutions that the correlation length of the logarithm of the hydraulic conductivity is important in increasing the variability of the solid's volume strain field, while the soil pore size distribution parameter plays the role of decreasing the variability in the solid's volume strain field.
URI: http://dx.doi.org/10.2136/vzj2011.0002
http://hdl.handle.net/11536/14948
ISSN: 1539-1663
DOI: 10.2136/vzj2011.0002
期刊: VADOSE ZONE JOURNAL
Volume: 10
Issue: 4
起始頁: 1242
結束頁: 1249
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