Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 72: Poster: Stoch. and Nonl. Dy., Modeling, Compl. Sys.
DY 72.13: Poster
Thursday, March 15, 2018, 15:30–18:00, Poster A
Constant pressure regime in hydraulic fracturing — •Anton Solovev1,2 and Yuri Petrov2,3 — 1Center for Advancing Electronics Dresden cfaed, TU Dresden, Dresden, Germany — 2St Petersburg State University, St Petersburg, Russia — 3Institute of Problems of Mechanical Engineering of the RAS, St Petersburg, Russia
Hydraulic fracturing is a process of fracture development and propagating in a brittle medium as a result of pressurized fluid injection.
Our study is based on a one-dimensional local elastic model (the PKN model) in particle velocity formulation. We investigate how a non-stationary component of the influx function affects the hydrofracturing in an impermeable rock formation.
Further, we propose an influx function that results in almost constant maximum pressure inside the fracture. Typically in literature constanst influx is considered instead. However, it produces unbounded growth of pressure and therefore is not always suitable for describing a pumping engine working in a steady regime.