In this study, a grain-scale modelling technique has been developed to generate the capillary pressure-saturation curves for swelling granular materials. This model employs only basic granular properties such as particles size distribution, porosity, and the amount of absorbed water for swelling materials. Using this model, both drainage and imbibition curves are directly obtained by pore-scale...

It is shown that if [0, 1)d + t, t ∈ T , is a unit cube tiling of Rd, then for every x ∈ T , y ∈ Rd, and every positive integer m the number |T ∩ (x+Zd)∩ ([0,m)d+y)| is divisible by m. Furthermore, by a result of Coppersmith and Steinberger on cyclotomic arrays it is proven that for every finite discrete box D = D1×· · ·×Dd ⊆ x+Zd of size m1×· · ·×md the number |D∩T | is a linear combination of...

In this paper, we employ a novel approach to metarule-guided, multi-dimensional association rule mining which explores a data cube structure. We propose algorithms for metarule-guided mining: given a metarule containing p predicates, we compare mining on an n-dimensional (n-D) cube structure (where p < n) with mining on smaller multiple pdimensional cubes. In addition, we propose an efficient m...

Capillary pressure (Pc) curves acquired using the Magnetic Resonance Imaging (MRI) technique, call GIT-CAP, have 70-100 data points. This extra data, when compared with traditional porous plate or centrifuge techniques, allows for the interpretation of more information from the Pc curve. In particular, the pore throat size and relative permeability can be extracted. The pore throat size can be ...

The generalized Fibonacci cube Qd(f) is the subgraph of the d-cube Qd induced on the set of all strings of length d that do not contain f as a substring. It is proved that if Qd(f) ∼= Qd(f ′) then |f | = |f ′|. The key tool to prove this result is a result of Guibas and Odlyzko about the autocorrelation polynomial associated to a binary string. An example of a family of such strings f , f ′, wh...

Analysis of high-speed (150 frames/sec) cinematographs of the filling and expulsion of the water expulsion vesicle of Tetrahymena pyriformis shows that the vesicle fills as water is pumped into it by contractions of at least four ampullary sacs which are continuous with the endoplasmic reticulum. When filled, the vesicle is pressed against its two excretory pores by cyclotic movements of the cy...

Abstract Accurate knowledge of pore and fracture pressures is essential for drilling wells safely with the desired mud weight (MW). Overpressure occurs when pressure higher than normal hydrostatic pressure. There a challenge regarding studies domain in an oilfield SW Iran, where lack geo-mechanical data limits exact window calculation. Also, reservoir generally consists carbonate rocks contains...

Solutions are obtained for the stress and pore pressure due to sudden introduction of plane strain dislocations in a linear elastic, fluid-infiltrated, Biot, solid. Previous solutions have required that the pore fluid pressure and its gradient be continuous. Consequently, the antisymmetry (symmetry) ofthe pore pressure p about y = Orequires that this plane be permeable (p = 0) for a shear dislo...