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Degree of (L, M)-fuzzy semi-precontinuous and (L, M)-fuzzy semi-preirresolute functions

Al-Omeri W. F., Khalil O. H., Ghareeb A.

Demonstratio Mathematica

2018

Vol. 51, nr 1

182--197

The aim of this paper is to present the degree of semi-preopenness, semi precontinuity, and semi-preirresoluteness for functions in (L, M)-fuzzy pretopology with the help of implication operation and (L, M)-fuzzy semi-preopen operator introduced by [Ghareeb A., L-fuzzy semi-preopen operator in L-fuzzy topological spaces, Neural Comput. & Appl., 2012, 21, 87–92]. Further, we generalize the properties of semi-preopenness, semi-precontinuity and semi-preirresoluteness to (L, M)-fuzzy pretopological setting relying on graded concepts. Also, we discuss their relationships with the corresponding degrees of semi-precompactness, semi-preconnectedness and semi-preseparation axioms.

Factors affecting the water coning behavior in vertical and horizontal wells

Salavatov T. Sh., Suleymanov A. A., Ghareeb A., Mamedova Y. V.

Prace Naukowe Instytutu Nafty i Gazu

2010

nr 170 wyd. konferencyjne

845--849

Production from the well would create pressure gradients that tend to lower the gas-oil contact and elevate the water-oil contact in the immediate vicinity of the well. Counterbalancing these flow gradients is the tendency of the gas to remain above the oil zone because of its lower density and of the water to remain below the oil zone because of its higher density. These counterbalancing forces tend to deform the gas—oil and water—oil contacts into a bell shape forming what is called coning. Delaying the encroachment and production of gas and water are essentially the controlling factors in maximizing the field's ultimate oil recovery. Since coning can have an important influence on operations, recovery, and economics, it is the objective of this paper to develop a computer program for calculating the critical oil rate to avoid coning of unwanted fluids into production wells and to predict the behavior of water coning in vertical and horizontal wells. The effect of various reservoir and fluid parameters (horizontal permeability, vertical permeability, drainage radius, oil column thickness, oil viscosity, porosity, oil rate, etc.) on the coning behavior in vertical and horizontal wells was investigated extensively by varying the base case data.