Jose Adachi

TL;DR: In this article, the authors provide a brief historical background of the development of hydraulic fracturing models for use in the petroleum and other industries, and discuss scaling laws and propagation regimes that control the growth of hydraulic fractures from the laboratory to the field scale.

TL;DR: In this article, a hydraulically driven fracture propagating in an impermeable, linear elastic medium is analyzed, where the fracture is driven by injection of an incompressible, viscous fluid with power-law rheology and behaviour index n⩾ 0.

TL;DR: In this paper, the authors describe the plane strain problem of a hydraulic fracture propagating in a permeable, linear elastic medium, and obtain the semi-analytic asymptotic solutions corresponding to small and large time, and compare them with the numerical solution.

TL;DR: In this paper, an analysis of the near-tip region of a fluid-driven fracture propagating in a permeable saturated rock is carried out by considering the stationary problem of a semi-infinite fracture moving at constant speed V. The authors show that the solution is characterized by a multiscale singular behaviour at the tip and that the nature of the dominant singularity depends both on the relative importance of the dissipative processes and on the scale of reference.

TL;DR: In this article, the authors considered a hydraulic fracture with equilibrium height growth across two symmetric stress barriers, where each cross section perpendicular to the main propagation direction is in a condition of plane-strain, and the local fracture height is determined by a balance between the effect of the stress jump across the barriers and that of the rock toughness.