The use of fractional derivatives as a mathematical tool towards the development of more
robust mathematical models in certain areas of reservoir engineering is gaining attention in …

Enhanced oil recovery (EOR) by solvent injection offers significant potential to increase
recovery from shale oil reservoirs, which is typically between 3 and 7% original oil in place …

Reservoir simulator is widely known in the petroleum industry for analysing and predicting
the fluid flow behaviour through porous media. Conventional mathematical approach, which …

Pressure communication is commonly observed in fractured horizontal shale wells,
particularly at early times when wells are placed on production. In this paper we present a …

Anomalous diffusion concept is applied to model subdiffusive flow in heterogeneous,
nanoporous media. The basis of anomalous diffusion is discussed and interpreted for …

It has recently been demonstrated that complex fracture networks (CFNs) especially
activated natural fractures (ANF) play an important role in unconventional reservoir …

Nowadays, production performance evaluation of a multifractured horizontal well (MFHW)
has attracted great attention. This paper presents a mathematical model of an MFHW with …

Rate-transient analysis (RTA) has been widely applied to extract estimates of
reservoir/hydraulic fracture properties. However, the majority of RTA techniques can lead to …

The industry is increasingly reliant on rate-transient analysis (RTA) to extract valuable
information about the reservoir and hydraulic fractures. However, the application of current …

This study presents a modified memory-based mathematical model describing fluid flow in
porous media. For the first time such model is derived employing the Grünwald–Letnikov (G …