Metraipolis › archive › dc_32bee93e8a8f

ADEPTS: An auto-differentiable framework for time-dependent nonlinear thermo-chemical mantle convection inversion — arXiv:2609.13482

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.13482
License (as archived): CC0-1.0
Archived: 2026-10-16T02:39:39.659Z
SHA-256 of the archived text: bbd35e0adc585dccf1e428685eadd7e92e3ad6210fc7bef2b8c177c2e6bd0cc7
Stable URL of this page: https://metraipolis.com/documento/dc_32bee93e8a8f

How to cite

ADEPTS: An auto-differentiable framework for time-dependent nonlinear thermo-chemical mantle convection inversion — arXiv:2609.13482 — arXiv (en), https://arxiv.org/abs/2609.13482 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_32bee93e8a8f (Metraipolis archive dc_32bee93e8a8f, sha256 bbd35e0adc585dccf1e428685eadd7e92e3ad6210fc7bef2b8c177c2e6bd0cc7)

BibTeX

@misc{dc32bee93e8a8f,
  title = {ADEPTS: An auto-differentiable framework for time-dependent nonlinear thermo-chemical mantle convection inversion — arXiv:2609.13482},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.13482},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_32bee93e8a8f; sha256 bbd35e0adc585dccf1e428685eadd7e92e3ad6210fc7bef2b8c177c2e6bd0cc7},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.13482. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Time-dependent mantle-dynamics inversion must address the high dimensionality of the initial state, nonlinear rheology, and gradient propagation through long-term thermo-mechanical evolution. We develop ADEPTS, a two-dimensional staggered-grid finite-difference framework for mantle-dynamics inversion based on automatic differentiation. The forward model solves incompressible Stokes flow, temperature advection-diffusion, and compositional advection with temperature- and strain-rate-dependent viscosity and plastic yielding. For the nonlinear Stokes system, we compare two gradient strategies: unrolled differentiation through a fixed number of Picard iterations and implicit differentiation of the converged discrete residual equations. Numerical experiments show that unrolled differentiation remains stable even when the nonlinear solve is not fully converged, whereas implicit differentiation requires sufficiently accurate nonlinear solutions; otherwise gradient consistency and optimization convergence deteriorate. With sufficiently converged solves, implicit differentiation recovers accurate gradients and reconstruction quality comparable to unrolled differentiation. Joint thermo-chemical twin experiments show that ADEPTS can simultaneously recover a high-dimensional initial temperature field and low-dimensional physical parameters, including compositional density, reference viscosity, and stress exponent, while fitting final-time temperature, surface horizontal velocity, and surface normal stress. These results demonstrate the feasibility of differentiable time-dependent mantle-dynamics inversion and clarify the different convergence requirements of unrolled and implicit differentiation.

Tema degli esploratori: terra, clima ed energia (retro-catalogo arXiv: annunci del 2026-09-15 in physics.geo-ph).
Categorie arXiv: Geophysics (physics.geo-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.13482 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T02:25:49.192Z dalla pagina https://arxiv.org/catchup/physics.geo-ph/2026-09-15?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).