Bayesian inference of petrophysical properties with generative spectral induced polarization models

نویسندگان

چکیده

Mechanistic induced polarization (IP) models describe the relationships between physical properties of geomaterials and their frequency-dependent complex conductivity. However, practitioners rarely use mechanistic to interpret IP data because uncertainties associated with estimating petrophysical from conductivity spectra are still poorly understood. We propose a framework for critically assessing any model’s sensitivity parameter estimation limitations. The consists conditional variational autoencoder (CVAE), an unsupervised Bayesian neural network specializing in dimension reduction generative modeling. apply case study “perfectly polarized interfacial polarization” model by training CVAE on signatures synthetic mixtures metallic mineral inclusions hosted electrolyte-filled geomaterials. First, CVAE’s Jacobian reveals relative importance each property generating spectral data. most critical parameters host, volume fraction inclusions, characteristic length permittivity host. Contrastingly, inclusions’ diffusion coefficient, permittivity, conductivity, as well host’s have marginal importance. A experiment using various constraints yields standardized accuracy corroborates analysis results. Finally, we visualize effects transformations space. conclude that common logarithm transformation optimal results constraining electrochemical geomaterial improves estimates size its vice versa.

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ژورنال

عنوان ژورنال: Geophysics

سال: 2023

ISSN: ['0016-8033', '1942-2156']

DOI: https://doi.org/10.1190/geo2022-0495.1