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Modeling rock permeability from NMR relaxation data by PLS regression

Authors:	Edmilson Helton Rios Paulo Frederico de Oliveira RamosVinicius de França Machado Giovanni Chaves StaelRodrigo Bagueira de Vasconcellos Azeredo

Institution:	^a Observatório Nacional, R. Gal. José Cristino no. 37, CEP: 20921-400, Rio de Janeiro, RJ, Brazil ^b Petrobras, Centro de Pesquisa e Desenvolvimento Leopoldo Américo Miguêz de Mello, Av. Horácio de Macedo no. 950, CEP: 21941-915, Rio de Janeiro, RJ, Brazil ^c Universidade Federal Fluminense, Instituto de Química, Outeiro de São João Batista, s/n°, CEP: 24020-150, Niterói, RJ, Brazil

Abstract:	This study explores the application of the partial least squares regression (PLSR) technique to rock permeability prediction from nuclear magnetic resonance (NMR) relaxation data. A total of 68 Brazilian sandstone cores selected from reservoirs and outcrop analogs were fully saturated and analyzed by NMR. The permeability of the cores ranged from 0.007 to 9,800 mD. From their ¹H transverse relaxation times (T₂) measured at 2 MHz, two PLSR models were developed for the relaxation spectra and the raw relaxation curves. Both models led to more uniform and accurate predictions (RMSE = 0.47 and 0.50 log mD, respectively) compared with the classical Kenyon model (RMSE = 0.78 log mD).

Keywords:	Relaxation Permeability NMR PLSR
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