On MINLP Heuristics for Solving Shale-well Scheduling Problems

Shut-in based production optimization of shale-gas systems

“…Computational aspects of the proposed decomposition scheme is also analyzed. The chapter consists of the paper Knudsen et al (2014c), with preliminary versions of models and decomposition schemes presented in and Knudsen et al (2014b).…”

“…12 1.2. Simplified systems modeling of shale-gas wells Illustration of slab matrix-fracture geometry and the section used in the explicit fracture-modeling proxy (Knudsen et al, 2014b). …”

“…The clear disadvantage of the full discretization scheme is its often poor numerical efficiency. Upscaling is hence normally applied Wilson and Durlofsky, 2013;Knudsen et al, 2014b), using for instance logarithmic grid refinements around the fractures. Other references to this shale reservoir modeling approach include Mayerhofer et al (2010); Economides and Wang (2010) and Freeman et al (2013).…”

“…Using the PDE (1.4) as basis, ; and Knudsen et al (2014b), respectively, constructs two differnt shale-gas reservoir proxy models of equal complexity but different approximations and geometries of the matrix-fracture system. The model developed in and approximates the fracture system or stimulated reservoir volume (SRV) (Mayerhofer et al, 2010) as one big highly conductive volume as shown in Fig.…”

“…The second shale-gas reservoir proxy model (Knudsen et al, 2014b) applies explicit modeling of a single transverse fracture and the adjacent shale matrix block. This type of shale reservoir proxy-modeling approach may be regarded as a simplified variant of the category Mohaghegh (2013) in a recent publication refers to as explicit hydraulic fracturing (EHF) models.…”