We present an improved stochastic finite-fault method controlled by the fault rupture process (NNSIM) which can make the simulated strong ground motion at a broad frequency band similar to real ground motion of the Ms 7.0 Lushan earthquake by introducing the fault physical rupture process into the stochastic finite-fault method. Two obvious improvements are obtained: 1) the non-uniform time window functions produce various shape of the simulated time series instead of one single spindle shape; 2) the non-uniform stress drops and the non-uniform time window functions improve obviously simulated pseudo-spectral acceleration (PSA), especially, the low-frequency part. • We present an improved stochastic finite-fault method controlled by the fault rupture process (NNSIM) which can make the simulated strong ground motion at a broad frequency band similar to real ground motion by introducing the fault physical rupture process into the stochastic finite-fault method. Its validity was tested by the comparisons with records of Lushan earthquake. • The non-uniform time window functions produce various shape of the simulated time series instead of one single spindle shape. • The non-uniform stress drops and the non-uniform time window functions improve obviously simulated pseudo-spectral acceleration (PSA), especially, the low-frequency part.
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