Abstract
The soil hydraulic conductivity of an embankment has strong spatial variability due to the spatiotemporal variation, both natural and artificial. The strong randomness of the hydraulic conductivity can be expressed by the coefficient of variation (COV) and the fluctuation scale θ. Moreover, different coefficients of variation and fluctuation scales correspond to different random field structures. To study the characteristics of the three‐dimensional stochastic seepage field in an embankment under different COVs and fluctuation scales, we generate a three‐dimensional random field of the hydraulic conductivity of multimedia embankment based on the local average subdivision technique. In particular, a calculation method for a three‐dimensional random seepage field based on the Monte Carlo method combined with a three‐dimensional multimedia random field and a deterministic analysis is proposed. The results showed that after three thousand realizations and considering the randomness of the hydraulic conductivity, the position of the free surface of each section in the embankment differed. The mean value of the total head decreased when the COV increased. Furthermore, when the COV was small, the change in the total head with anisotropy ratio was not evident, while the COV was large. The mean value of the total head increased with the anisotropy ratio. When the anisotropy ratio increased, the mean value of the standard deviation of the total head increased first and then decreased.
Highlights
Research problems related to geotechnical engineering present uncertainties and randomness
For one-dimensional or two-dimensional random variables, given the probability density function and statistical parameters, such as mean, standard deviation, and fluctuation scale, the random field comprising regular quadrilateral elements could be generated in a rectangular region in onedimensional or two-dimensional space. is random field generation technique has the advantages of fast convergence and low theoretical error
In this study, considering the strong variability of embankment soil hydraulic conductivity, a three-dimensional multimedia random field is generated based on the local average subdivision technique, and a calculation method for a three-dimensional random seepage field of an embankment based on the Monte Carlo method combined with a three-dimensional multimedia random field and a deterministic seepage field analysis method is proposed
Summary
Research problems related to geotechnical engineering present uncertainties and randomness. Due to the spatiotemporal variation, both natural and artificial, the soil hydraulic conductivity of an embankment has strong spatial variability In this regard, the study of random field theory appeared earlier in the mathematics and physics fields. Based on the random field of soil hydraulic conductivity, taking the hydraulic conductivity as a spatial random field variable subject to lognormal distribution, the free surface seepage of a gravity dam is analyzed by the Monte Carlo method [13]. In this study, considering the strong variability of embankment soil hydraulic conductivity, a three-dimensional multimedia random field is generated based on the local average subdivision technique, and a calculation method for a three-dimensional random seepage field of an embankment based on the Monte Carlo method combined with a three-dimensional multimedia random field and a deterministic seepage field analysis method is proposed
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