YANG Jian-min, HUO Wang-wen. A character of elliptical regional land subsidence due to horizontal anisotropic permeability[J]. 2018, 39(8): 2960-2976.
DOI:
YANG Jian-min, HUO Wang-wen. A character of elliptical regional land subsidence due to horizontal anisotropic permeability[J]. 2018, 39(8): 2960-2976.DOI: 10.16285/j.rsm.2017.0353.
A character of elliptical regional land subsidence due to horizontal anisotropic permeability
The anisotropy of horizontal permeability coefficient causes an elliptical contour of the water level drop when pumping
which further results in an elliptical land subsidence funnel. The phenomenon of this elliptical land subsidence funnel exists widely. For homogeneous isotropic aquifers
circlular land subsidence contours are round
and subsidence and distance coincides with the rules of linear s- relation. The relationship of linear s- is suitable for homogeneous anisotropic aquifers too. While land subsidence contours are elliptical for homogeneous anisotropic aquifers. In equation of
and are coefficients. For each radial line of subsidence contours
the relation between coefficients
and angle θ of radial line is founded applying groundwater hydraulics. The coefficients
are in proportion to square of or square of . The formula is proved by monitoring data from 6 regional land subsidence located in China
American and Indian. These monitoring data have great agreement with the new formula of
and . One correlation coefficient between
and is 0.871 9
the other 11 correlation coefficient are all greater than 0.9. The character of elliptical land subsidence due to horizontal anisotropic permeability is represented. The formula of
and has simple form. So it is easy to apply in engineering. The formula can be used to predict the vertical displacement for land subsidence.