In recent years, numerical modelling of hydraulic fracture has become a hot topic in Petroleum Engineering. The main difficulty is related to the numerical treatment of discontinuities in a geological medium. Several approaches can be found in the literature (Boone and Ingraffea, 1990; Adachi et al., 2007); however, some of them resort to simplifications that make them inapplicable in complex c...

Editor-in-Chief Tommy Boone, PhD, MBA Review Board Todd Astorino, PhD Julien Baker, PhD Steve Brock, PhD Lance Dalleck, PhD Eric Goulet, PhD Robert Gotshall, PhD Alexander Hutchison, PhD M. Knight-Maloney, PhD Len Kravitz, PhD James Laskin, PhD Yit Aun Lim, PhD Lonnie Lowery, PhD Derek Marks, PhD Cristine Mermier, PhD Robert Robergs, PhD Chantal Vella, PhD Dale Wagner, PhD Frank Wyatt, PhD Ben ...

McKean, also served in the Union Army during the American Civil War. Ernest Shaw was born in 1873 in Michigan and made his living as an abstractor, that is, one who describes parcels of property for plot maps. Mary McKean was born in 1871 in Minnesota and made her living as a school teacher. They met in North Dakota and were married in Wahpeton in 1904. Mary Shaw was the second of their five ch...

We analyze the logical strength of theorems on marriage problems with a fixed finite number of solutions via the techniques of reverse mathematics. We show that if a marriage problem has k solutions, then there is a finite set of boys such that the marriage problem restricted to this set has exactly k solutions, each of which extend uniquely to a solution of the original marriage problem. The s...

The relationship between bank competition and industrialization remains controversial scarce in studies related to African countries. Using a sample of 26 countries from 1996 2017, the objective this paper is analyze effect banking measured by non-structural measures (Lerner index Boone indicator) on industrialization. GMM, we obtained two different results. When Lerner index, evolves same dire...

the main task of drilling the formation by the bit is done via scraping, crushing and grinding. discharging the fluid from the bit nozzles is done with high pressure which assists to break the rocks. different parameters affect the bit selection and design for each drilling formation, but the most important one is drillability that depends on hardness of the formation. in this paper, the design...