Abstract Borehole breakout initiation, progression, and stabilization are modeled using a semi-analytical method based on Melentiev’s graphical conformal mapping procedure, Kolosov–Muskhelishvili complex stress potentials. The only input data required the elastic moduli of rock, Coulomb strength parameters (cohesion angle internal friction), far-field stresses. stresses around borehole wall com...

in this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the hunter-saxton equation. the main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. it is a semi analytical-numerical metho...

Reactive transport modeling for heterogeneous aquifers is challenging and computationally intensive. While numerical packages allow simulation of multiple species transport with aquifer heterogeneity, run times on high speed PCs and workstations make many jobs impractical. Stream tube approaches are computationally efficient numerical methods, and offer significant advantages in run time over m...