Research Article

Prediction of Hydrocarbon Reservoirs Permeability Using Support Vector Machine

Table 1

Polynomial, normalized polynomial, and radial basis function (Gaussian) kernels [24].

Kernel functionType of classifier

𝐾 ( 𝑥 𝑖 , 𝑥 𝑗 ) = ( 𝑥 𝑇 𝑖 𝑥 𝑗 + 1 ) 𝜌 Complete polynomial of degree 𝜌
𝐾 ( 𝑥 𝑖 , 𝑥 𝑗 ) = ( 𝑥 𝑇 𝑖 𝑥 𝑗 + 1 ) 𝜌 / ( 𝑥 𝑇 𝑖 𝑥 𝑗 ) ( 𝑦 𝑇 𝑖 𝑦 𝑗 ) Normalized polynomial kernel of degree 𝜌
𝐾 ( 𝑥 𝑖 , 𝑥 𝑗 ) = e x p [ 𝑥 𝑖 𝑥 𝑗 2 / 2 𝜎 2 ] Gaussian (RBF) kernel with parameter 𝜎 which
controls the half-width of the curve fitting peak