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Layered structure of rocks strongly influences propagation of hydraulic fractures
widely used in practice to increase oil and gas production. The paper aims to facilitate modeling
of hydraulic fractures. We develop a method to overcome the main difficulty, which arises
when modeling fractures in layered systems: the need in building Green's functions for systems
of layers. The method employs highly efficient fast Fourier transform (FFT) in frames of the
difference equations method. Its key computational parameters are established by studying
bench-mark problems. Green's functions with log-type singularity are included into the theory
and the algorithm developed. The accuracy of the method and its application are illustrated with
numerical examples.
Keywords: layered structures; Green's function; hydraulic fractures; Fourier transform; boundary element method. |
full paper (pdf, 1312 Kb)