Uncertainties in Finite-Fault Slip Inversions: To What Extent to Believe? (A Critical Review)

Abstract

The matrix inversion of seismic data for slip distribution on finite faults is based on the formulation of the representation theorem as a linear inverse problem.

Rupture Process During the Mw 8.1 2017 Chiapas Mexico Earthquake: Shallow Intraplate Normal Faulting by Slab Bending

“…The uncertainty in Green's functions is a major source of modeling error in the kinematic waveform inversion procedure (Yagi & Fukahata, 2011), and it may lead to discrepancies among slip models for an earthquake produced by different researchers using different inversion schemes (Beresnev, 2003;Mai et al, 2016). We adopted the inversion scheme of Yagi and Fukahata (2011) to mitigate this uncertainty, by objectively determining the strength of smoothness constraints on the model parameters and the data covariance matrix including the uncertainty of Green's functions by minimizing the Akaike's Bayesian Information Criterion (ABIC) (Akaike, 1980;Yabuki & Matsu'ura, 1992).…”

Constitutive parameters for earthquake rupture dynamics based on high-velocity friction tests with variable sliprate

“…E F is seismological fracture energy waveform inversion requires various assumptions during the analysis which includes fault geometry, shape of slip velocity function, velocity structure between earthquake source and observation sites, and smoothness constraint of the parameters to be estimated. Thus the results depend on these assumptions (Beresnev 2003).…”

Analysing earthquake slip models with the spatial prediction comparison test

“…However, there are several impeding issues regarding the reliability of the inverted models arising from the ill-posed nature of the inverse problem, limited and non-uniform data coverage, differences in selection and processing of the available data, incompletely known Earth structure, and variations in a priori assumptions on the faultgeometry (Beresnev 2003;Mai et al 2007;Shao & Ji 2012). Hence, earthquake source inversions come with considerable uncertainty, which however is only rarely investigated in as much detail as by Hartzell et al (1991Hartzell et al ( , 2007, Custodio et al (2005), Monelli & Mai (2008), Monelli et al 2009 andRazafindrakoto &Mai (2014).…”