Geomechanical parameters have structural and stochastic properties on spatial variability

which causes the uncertainty of geomechanical parameters. Geostatistics is used as the theoretical foundation for analyzing the spatial variability of geomechanical parameters; and geomechanical parameters distributing in region of interest are considered as zonal variables. Variogram function can not only describe the integral spatial structural variety

but also describe the local stochastic variety. Therefore

theoretical model of variogram function is employed as the mathematical model for depicting the spatial variability law of geomechanical parameters. The ensemble Kalman filter method is introduced to estimate the spatial variability of geomechanical parameters using the observation data with temporal and spatial variation. Demonstrated by numerical example

the EnKF can effectively incorporate the observation data and successfully provide the spatial variability estimation of geomechanical parameters.