title: Reacting Flows in Porous Media: Complex Multi-Phase, Multi-Component Simulation
author: Sadiq J. Zarrouk
description: BSc in Engineering from The University of Baghdad 1990. Diploma in geothermal energy technology, ME and PhD in Engineering Science from The University of Auckland, with extended field and research experience in non-conventional reservoir engineering. Currently a senior lecturer of Geothermal Engineering at The University of Auckland.
zlib_text:  
  Fluids 2020, 5, 51; doi:10.3390/fluids5020051 
  www.mdpi.com/journal/fluids 
  Article 
  Flow in Fractured Porous Media Modeled  
  in Closed-Form: Augmentation of Prior Solution 
  and Side-Stepping Inconvenient Branch  
  Cut Locations 
  Ruud Weijermars * and Aadi Khanal 
  Harold Vance Department of Petroleum Engineering, Texas A&M University,  
  College Station, TX 77843-3116, USA; akhanal@tamu.edu 
  * Correspondence: r.weijermars@tamu.edu 
  Received: 12 February 2020; Accepted: 13 April 2020; Published: 16 April 2020 
  Abstract: Carefully chosen complex variable formulations can solve flow in fractured porous 
  media. Such a calculus approach is attractive, because the gridless method allows for fast, 
  high-resolution model results. Previously developed complex potentials to describe flow in porous 
  media with discrete heterogeneities such as natural fractures can be modified to expand the accuracy of 
  the solution range. The prior solution became increasingly inaccurate for flows with fractures 