Article citationsMore>>

Merrill, R.J., Bostock, M.G., Peacock, S.M. and Chapman, D.S. (2023) Optimal Multichannel Stretch Factors for Estimating Changes in Seismic Velocity: Application to the 2012 mw 7.8 Haida Gwaii Earthquake. Bulletin of the Seismological Society of America, 113, 1077-1090.
https://doi.org/10.1785/0120220250

has been cited by the following article:

• TITLE: Fracture Network Mathematics

  AUTHORS: Daniel S. Brox

  KEYWORDS: Mode I, Mode II, Multi-Crack, Statistics, Singular Spectrum Analysis

  JOURNAL NAME: Journal of Modern Physics, Vol.17 No.2, February 6, 2026

  ABSTRACT: Analytic solutions for elastostatic displacement due to vertical/shear traction applied to the faces of a single crack in a 2D plane are reviewed in Section 2. The purpose of this review is to introduce mathematics relevant to specifying multi-crack elastostatic displacements. In Section 3, the relation between multi- crack elastostatic displacement fields and Riemann surface geometry is discussed. Section 4 explains why 2D multi-crack solutions appear limited to describe idealized cracks in 2 spatial dimensions, and conjectures how 3D fracture networks in the lithosphere can be described in terms of singular spectrum analysis of crack phase fields.