Lexicographic Product of Digraphs and Related Boundary-Type Sets

2021 ◽  
pp. 234-246
Author(s):  
Manoj Changat ◽  
Prasanth G. Narasimha-Shenoi ◽  
Mary Shalet Thottungal Joseph
Keyword(s):  
Lexicographic Product ◽  
Boundary Type ◽  
Type Sets

Boundary-type sets in maximal outerplanar graphs

2019 ◽  
Vol 266 ◽  
pp. 163-170
Author(s):  
Benjamin Allgeier ◽  
Grzegorz Kubicki
Keyword(s):  
Outerplanar Graphs ◽  
Boundary Type ◽  
Maximal Outerplanar Graphs ◽  
Type Sets

scholarly journals Boundary-type sets of strong product of directed graphs

2021 ◽  
Author(s):  
Manoj Changat ◽  
Prasanth G. Narasimha-Shenoi ◽  
Mary Shalet Thottungal Joseph ◽  
Bijo S. Anand
Keyword(s):  
Directed Graphs ◽  
Boundary Type ◽  
Strong Product ◽  
Type Sets

Cantor Type Sets of Positive Measure and Lipschitz Mappings

1991 ◽  
Vol 17 (2) ◽  
pp. 702
Author(s):  
Buczolich
Keyword(s):  
Positive Measure ◽  
Lipschitz Mappings ◽  
Type Sets

On zero type sets of Laguerre polynomials

1968 ◽  
Vol 35 (4) ◽  
pp. 821-823 ◽  
Author(s):  
J. W. Brown
Keyword(s):  
Laguerre Polynomials ◽  
Type Sets

General approach to microscopic-type sets

2018 ◽  
Vol 461 (1) ◽  
pp. 51-58 ◽  
Author(s):  
Grażyna Horbaczewska
Keyword(s):  
Type Sets

scholarly journals New Understanding of Transient Pressure Response in the Transition Zone of Oil-Water and Gas-Water Systems

Geofluids ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Wenbin Xu ◽  
Zhihui Liu ◽  
Jie Liu ◽  
Yongfei Yang
Keyword(s):  
Transition Zone ◽  
Outer Boundary ◽  
Water System ◽  
Pressure Response ◽  
Transient Pressure ◽  
Type Curves ◽  
Boundary Type ◽  
Study Results ◽  
Effective Mobility ◽  
Oil Water

Well test analysis requires a preselected model, which relies on the context input and the diagnostic result through the pressure logarithmic derivative curve. Transient pressure outer boundary response heavily impacts on the selection of such a model. Traditional boundary-type curves used for such diagnostic purpose are only suitable for single-phase flow in a homogeneous reservoir, while practical situations are often much more complicated. This is particularly true when transient pressure is derived during the field development phase, for example, from permanent down-hole gauge (PDG), where outer boundary condition such as an active aquifer with a transition zone above it plays a big role in dominating the late time pressure response. In this case, capillary pressure and the total mobility in the transition zone have significant effect on the pressure response. This effect is distinctly different for oil-water system and gas water system, which will result in the pressure logarithmic derivatives remarkably different from the traditional boundary-type curves. This paper presents study results derived through theoretical and numerical well testing approaches to solve this problem. The outcome of this study can help in understanding the reservoir behavior and guiding the management of mature field. According to the theoretical development by Thompson, a new approach was derived according to Darcy’s law, which shows that pressure response in the transition zone is a function of total effective mobility. For oil-water system, the total effective mobility increases with an increase in the radius of transition zone, while for gas-water system, the effect is opposite.

scholarly journals Interval-type theorems concerning means

2018 ◽  
Vol 17 (1) ◽  
pp. 37-43
Author(s):  
Paweł Pasteczka
Keyword(s):  
Partial Order ◽  
Natural Isomorphism ◽  
Natural Partial Order ◽  
Real Numbers ◽  
Power Means ◽  
Interval Type ◽  
Type Sets

Abstract Each family ℳ of means has a natural, partial order (point-wise order), that is M ≤ N iff M(x) ≤ N(x) for all admissible x. In this setting we can introduce the notion of interval-type set (a subset ℐ ⊂ℳ such that whenever M ≤ P ≤ N for some M, N ∈ℐ and P ∈ℳ then P ∈ℐ). For example, in the case of power means there exists a natural isomorphism between interval-type sets and intervals contained in real numbers. Nevertheless there appear a number of interesting objects for a families which cannot be linearly ordered. In the present paper we consider this property for Gini means and Hardy means. Moreover, some results concerning L∞ metric among (abstract) means will be obtained.

Sign in / Sign up

Export Citation Format

Share Document