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The paper analyzes the propagation of a fluid-driven fracture in an impermeable elastic solid under conditions of small toughness or high fluid viscosity, relevant to hydraulic fracturing and magma transport. It establishes that the solution away from the fracture tips approximates the zero-toughness solution, with a boundary layer at the tips where material toughness influences the fracture behavior. The study provides conditions for matching the boundary layer solution with the outer zero-toughness soluti
- Author
- masoud.talaeei
- Language
- EN