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Abstract

Embodiments of the disclosure may include systems and methods for evaluating gas-contaminated cement. In one embodiment, a vector-valued image of cement state probability may be obtained from an acoustic logging tool, and a maximum a posterior classification of cement state of the vector-valued image may be determined. A vector probability diffusion equation may be used to minimize the total variation of the vector-valued image over a number of interactions to produce a second image. The maximum a posterior classification of cement state the second image may be determined and compared to the maximum a posterior classification of cement state of the vector-valued image. Depending on the comparison, the original image and cement state may be used or a new gas-contaminated image with a different cement state may be generated.

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First Claim