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Earthquake Engineering & Structural Dynamics· 2026Q1

Wavelet Packet‐Based Diffusion Model for Ground Motion Generation With Multi‐Conditional Energy and Spectral Matching

Yi Ding, Su Chen, Jinjun Hu, Xiaohu Hu et al.

Short summary

A novel diffusion model synthesizes ground motions by simultaneously matching temporal energy evolution and target response spectra, using wavelet packet decomposition and a Transformer encoder.

AI-generated from the title and abstract; the full text is not read.

Key points

  • A new diffusion model synthesizes ground motions matching both temporal energy and response spectra.
  • Wavelet packet decomposition and a Transformer encoder with cross-attention are used for signal representation and condition integration.
  • The model explicitly constrains temporal energy evolution (onset, duration) and spectral ordinates.
  • Tests on NGA-West2 data show improved control over energy distribution and response spectrum agreement.

AI-generated from the title and abstract; the full text is not read.

Abstract

ABSTRACT Temporal energy distribution strongly affects nonlinear structural response and cumulative damage. We propose a multi‐condition diffusion framework for ground‐motion synthesis that simultaneously matches temporal‐energy evolution and target response spectra. Wavelet packet decomposition is used to represent the ground‐motion signals and enables direct waveform reconstruction via orthogonal filter banks. A Transformer‐based conditional encoder with cross‐attention integrates heterogeneous conditions, including spectral ordinates, Arias intensity, temporal parameters, and Husid curves. The framework adopts the elucidating diffusion model (EDM) with second‐order Heun sampling to improve inference efficiency without sacrificing quality. Tests on the NGA‐West2 database show that explicit temporal‐energy constraints markedly improve control of energy onset and significant duration while preserving response‐spectrum agreement across repeated stochastic samples. The framework yields spectrum‐compatible ground motions with realistic energy evolution and enables conditional sample variability to be quantified through repeated stochastic sampling.

The authors' abstract, as published at the source. Earthquake Engineering & Structural Dynamics, 2026 · DOI ↗

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Field: Civil and Structural Engineering

Civil and Structural EngineeringEngineering