A fast 1D electromagnetic modeling method has been developed and tested. It allows simulating triaxial responses of induction and propagation resistivity logging tools for both logging-while-drilling and wireline applications. An important new feature of the method is its ability to model resistivity tool responses in 1D biaxial anisotropic medium, whose anisotropy tensor has up to three different principal values. This feature is particularly useful to evaluate fractured formations. A few possible implementations of the method have been suggested. The modeling code has been extensively tested versus three other independent modeling methods. The new method demonstrates a high sensitivity of transverse and cross couplings of triaxial tensor measurement to all three principal values of the conductivity tensor.