| CPC E21B 47/107 (2020.05) [E21B 47/0025 (2020.05); E21B 47/005 (2020.05); G01V 1/48 (2013.01); G06N 3/045 (2023.01); G06N 3/047 (2023.01); G06N 3/08 (2013.01)] | 19 Claims |

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1. A method for characterizing well integrity of a cased well, the method including:
i) collecting sonic waveform data for acoustic signals received by a receiver array of a sonic logging tool for a depth interval of the cased well;
ii) determining a high-dimensional representation of the sonic waveform data;
iii) determining an intermediate-dimensional representation of the sonic waveform data from the high-dimensional representation of the sonic waveform data using a first unsupervised dimension-reduction machine learning model of a first type that compresses unlabeled high-dimensional sonic waveform data to an intermediate dimension latent variable space;
iv) determining a low-dimensional representation of the sonic waveform data from the intermediate-dimensional representation of the sonic waveform data using a second unsupervised dimension-reduction machine learning model of a second type that compresses intermediate-dimensional sonic waveform data through a single-layer network architecture to a low-dimensional latent variable space;
v) clustering the low-dimensional representation of the sonic waveform data to identify low-dimensional clusters and corresponding low-dimensional cluster labels directly from the low-dimensional representation of the sonic waveform data;
vi) determining a cementing property based on a geophysical representation of the sonic waveform data at a receiver azimuth and depth of the sonic waveform data indicated by the low-dimensional cluster labels, wherein the cementing property is related to cementing integrity of an annulus of the cased well at the depth interval; and
vii) determining a well integrity characterization of the cased well based on the cementing property.
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