Predicting porosity, permeability, and tortuosity of porous media from images by deep learning (original) (raw)

Convolutional neural networks (CNN) are utilized to encode the relation between initial configurations of obstacles and three fundamental quantities in porous media: porosity ($$\varphiφ),permeability(k),andtortuosity(T).Thetwo−dimensionalsystemswithobstaclesareconsidered.ThefluidflowthroughaporousmediumissimulatedwiththelatticeBoltzmannmethod.Theanalysishasbeenperformedforthesystemswithφ ), permeability (k), and tortuosity (T). The two-dimensional systems with obstacles are considered. The fluid flow through a porous medium is simulated with the lattice Boltzmann method. The analysis has been performed for the systems withφ),permeability(k),andtortuosity(T).Thetwo−dimensionalsystemswithobstaclesareconsidered.ThefluidflowthroughaporousmediumissimulatedwiththelatticeBoltzmannmethod.Theanalysishasbeenperformedforthesystemswith\varphi \in (0.37,0.99)φ∈(0.37,0.99)whichcoversfiveordersofmagnitudeaspanforpermeabilityφ ∈ ( 0.37 , 0.99 ) which covers five orders of magnitude a span for permeabilityφ∈(0.37,0.99)whichcoversfiveordersofmagnitudeaspanforpermeabilityk \in (0.78, 2.1\times 10^5)k∈(0.78,2.1×105)andtortuosityk ∈ ( 0.78 , 2.1 × 10 5 ) and tortuosityk∈(0.78,2.1×105)andtortuosityT \in (1.03,2.74)T∈(1.03,2.74).ItisshownthattheCNNscanbeusedtopredicttheporosity,permeability,andtortuositywithgoodaccuracy.WiththeusageoftheCNNmodels,therelationbetweenTandT ∈ ( 1.03 , 2.74 ) . It is shown that the CNNs can be used to predict the porosity, permeability, and tortuosity with good accuracy. With the usage of the CNN models, the relation between T andT∈(1.03,2.74).ItisshownthattheCNNscanbeusedtopredicttheporosity,permeability,andtortuositywithgoodaccuracy.WiththeusageoftheCNNmodels,therelationbetweenTand\varphi$$ φ has been obtained and compared with the empirical estimate.