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RRAM - Real-Record Attenuation Method: FGET–VRR–NFF Architecture and Development of the Attenuation Laws — Paper I

Author: Marcelo Moncayo Theurer, M.Sc. (TUM)
Institution: THEK Research Institute
Publication date: 2026-09-07
DOI: 10.5281/zenodo.22649683
ORCID: 0000-0002-8456-1571
License: CC BY-NC-ND 4.0 · NonCommercial · NoDerivatives
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Abstract

RRAM presents the methodological and mathematical core of a family of attenuation laws developed from real instrumental earthquake records. Paper I documents the construction of the four first-generation laws using magnitude M, epicentral distance D, PGA, CMAR, and the FGET–VRR–NFF architecture.

First-generation formulation

The general 1G form is:

a1G = A eBM e−0.005D
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Original Curve

aCO = 36 e0.52M e−0.005D
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Variant 1

aV1 = 12 e0.65M e−0.005D
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Variant 2

aV2 = 60 e0.45M e−0.005D
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Reduced Original

aReb = 18 e0.52M e−0.005D
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Variables

a: acceleration in Gal; M: earthquake magnitude; D: epicentral distance in km; A: scale coefficient; B: magnitude-sensitivity coefficient.

CMAR and demand criterion

CPAR < aTHEK-RRAM < CMAR
aTHEK-RRAM ≈ (0.75–0.80)aCMAR

CMAR represents the envelope of maximum recorded accelerations. RRAM does not seek to reproduce every isolated absolute maximum, but rather a balanced upper demand below the CMAR envelope.

License

RRAM and the papers available on this site are published under the Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 International license (CC BY-NC-ND 4.0).

NonCommercial · NoDerivatives. Sharing is permitted with proper attribution, but commercial use and distribution of modified versions are not permitted without authorization.

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References

  1. Moncayo Theurer, M. (2026). RRAM - Real-Record Attenuation Method: FGET–VRR–NFF Architecture and Development of the Attenuation Laws — Paper I. Zenodo. DOI: 10.5281/zenodo.22649683.
  2. Moncayo Theurer, M., Velasco, G., Rodríguez, J., & Terán, A. (2016). Análisis comparativo entre 13 leyes de atenuación y los registros de un evento de 7.1 en magnitud Richter ocurrido el 7 de abril de 2011, en las costas de Miyagi, Japón. Ingeniería—Revista Académica FI-UADY, 20(3), 137–146.
  3. Ramón Casquete, A. L., & Zamora, I. (2023). Eficiencia de las leyes de atenuación frente a sismos reales. Universidad de Guayaquil.
  4. Moncayo Theurer, M. (2026). Formula Genomics and Evolution Theory (FGET). Zenodo. DOI: 10.5281/zenodo.20780971.
  5. Moncayo Theurer, M. (2026). Nested Formula Framework (NFF). Zenodo. DOI: 10.5281/zenodo.20781769.

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