Xpectral
Technical methodology · v1.0 · 2026-05-08 · Internal · research desk

Advanced Phenomena & Near-Fault Effects

Rupture directivity, maximum-direction motion, fling-step and effective-period calibration in our seismic risk intelligence engine — anchored to 100+ in-house non-linear time-history analyses.

Directivity
Bayless & Somerville
2013 · hypocenter randomization
Max-direction
Shahi & Baker
2014 · over geometric mean
Fling-step
TBI 2017
fault-parallel direction
Teff calibration
ASCE 7-22
100+ NLTHA · in-house

1.Summary

Our seismic risk intelligence engine explicitly models advanced hazard and structural-response effects that off-the-shelf commercial catalogs typically do not document at this level of detail. This paper enumerates four such effects, the literature on which each is grounded, and the implication for risk quantification.

For research desks: the four phenomena below are implemented as first-class components of the hazard pipeline, not as ex-post adjustments. Each is parameterized per site and per scenario, traceable end-to-end to the published methodology cited.

2.Rupture directivity

The model captures rupture-directivity effects through hypocenter randomization across each rupture location and magnitude, following the formulation of Bayless & Somerville (2013). Hypocenter position is drawn per rupture realization rather than fixed at the geometric centroid, so along-strike and along-dip variability of slip propagation is reflected directly in the resulting ground-motion distribution.

This produces a more realistic representation of near-fault ground-motion variability and removes the systematic bias that fixed-hypocenter modelling introduces against sites located in the forward-directivity quadrant of dipping or strike-slip ruptures.

Implication for site response

3.Maximum-direction motion

The engine converts ground motion to the maximum-direction (RotD100) component, applying the period-dependent scaling factors of Shahi & Baker (2014) over the geometric mean (GMRotI50 / RotD50). The maximum-direction component represents the largest spectral response across all horizontal orientations, which is the demand that controls the failure mode for most modern structural and non-structural systems.

This delivers seismic demands that are more demanding and more consistent with modern design and assessment criteria, including the orientation-independent definitions used in current performance-based seismic engineering (PBSE) practice.

Component Definition Use case
GMRotI50 / RotD50 Median across horizontal orientations Legacy GMPE training and historical hazard maps
RotD100 Maximum across horizontal orientations Modern code design (ASCE 7-22), PBSE, near-fault assessment
Shahi & Baker (2014) factors Period-dependent ratio RotD100 / RotD50 Conversion path used by our engine

4.Fling-step in fault-parallel direction

The engine anticipates fling-step effects in the fault-parallel direction following the recommendations of TBI 2017 (PEER Tall Buildings Initiative — Guidelines for Performance-Based Seismic Design of Tall Buildings). Fling-step is a near-fault phenomenon: a one-sided, pulse-like permanent displacement caused by tectonic offset across the fault, distinct from forward-directivity velocity pulses.

Most off-the-shelf hazard catalogs treat ground motion as zero-mean and stationary — fling-step, by contrast, leaves a residual displacement that drives base-shear demand and inelastic deformation in stiff, displacement-sensitive systems (long-period buildings, base-isolated structures, bridges, pipelines, and storage tanks).

Where it matters

5.Effective-period (Teff) calibration

Our framework integrates effective-period (Teff) evaluation per ASCE 7-22, calibrated against more than 100 non-linear time-history analyses (NLTHA) developed in-house across the project portfolio. Teff shifts the elastic period to a value representative of the effective stiffness at the level of damage being assessed, closing the loop between hazard input and structural response.

The calibration anchors hazard outputs to observed structural behavior rather than to textbook elastic periods, producing PML, AAL and exceedance-probability outputs that reflect how a real structure responds at the limit states that drive insurance loss.

Why it is consequential: two assets with the same first-mode elastic period can have very different Teff at the damage state of interest. Treating them identically in the hazard pipeline systematically misprices tail risk on the more inelastic of the two — typically the cheaper-construction asset, which is the one the underwriter is most exposed to.

6.Why it matters for risk

Together, these four developments position the engine as a next-generation seismic risk intelligence tool, with a more complete characterization of near-fault effects, directional demands and structural response than off-the-shelf commercial catalogs deliver.

Hazard-side
Tail behaviour at near-fault sites
Directivity integrated probabilistically and fling-step modelled in the fault-parallel direction. The 1-in-500 and 1-in-1000 PML on near-fault assets is no longer a smoothed average.
Demand-side
Orientation-controlled response
Maximum-direction conversion via Shahi & Baker (2014) aligns the demand with the orientation that actually controls failure — the demand modern codes assume.
Response-side
Teff tied to non-linear response
100+ NLTHA calibration links elastic hazard to inelastic behaviour at the limit state of interest, removing a systematic bias on inelastic-leaning assets.
Auditability
Methodology lineage in writing
Each parameter traces to a published reference (Bayless & Somerville 2013 · Shahi & Baker 2014 · TBI 2017 · ASCE 7-22) and to the in-house NLTHA suite. Defensible to regulators, auditable to reinsurers.
Signed
Founder & Partner, Dynamis — engineering consultants in earthquake engineering & structural dynamics. 100+ projects in 20+ countries across 5 continents.

7.References

  1. Bayless, J. R., & Somerville, P. G. (2013). Updated Directivity Models for the Pacific Earthquake Engineering Research Center NGA-West2 GMPE Project. Pacific Earthquake Engineering Research Center, PEER Report 2013/09.
  2. Shahi, S. K., & Baker, J. W. (2014). NGA-West2 Models for Ground Motion Directionality. Earthquake Spectra, 30(3), 1285–1300.
  3. TBI (2017). Guidelines for Performance-Based Seismic Design of Tall Buildings, v2.03. Pacific Earthquake Engineering Research Center, Tall Buildings Initiative.
  4. ASCE/SEI 7-22 (2022). Minimum Design Loads and Associated Criteria for Buildings and Other Structures. American Society of Civil Engineers.
  5. Internal in-house NLTHA suite — 100+ non-linear time-history analyses developed by Dynamis across the project portfolio. Confidential, not public.