Calculation of the Total Interaction Energy and Surface Energy of Liquid Droplets in Microscopic Sizes

Author(s):  
Timur HALICIOĞLU
SPE Journal ◽  
2013 ◽  
Vol 18 (03) ◽  
pp. 534-544 ◽  
Author(s):  
M.. Ahmadi ◽  
A.. Habibi ◽  
P.. Pourafshary ◽  
S.. Ayatollahi

Summary Fines migration is a noticeable problem in petroleum-production engineering. Plugging of throats in porous media occurs because of detachment of fine particles from sand surfaces. Thus, the study of interactions between fines and pore surfaces and the investigation of governing forces are important factors to consider when describing the mechanism of the fines-release process. The main types of these forces are electric double-layer repulsion (DLR) and London–van der Waals attraction (LVA). It may be possible to alter these forces with nanoparticles (NPs) as surface coatings. In comparison with repulsion forces, NPs increase the effect of attraction forces. In this paper, we present new experiments and simple modeling to observe such properties of NPs. For this purpose, the surfaces of pores were coated with different types of NPs: magnesium oxide (MgO), silicon dioxide (SiO2), and aluminum oxide (Al2O3). A zeta-potential test was used to examine changes in the potential of the pore surfaces. Total interaction energy was then mathematically calculated to compare different states. Total interaction energy is a fitting criterion that gives proper information about the effect of different NPs on surface properties. Consequently, total interaction plots are found to be suitable tools for selecting the best coating material. On the basis of experimental results, the magnitude of change in zeta potential for the MgO NP was 45 mV. Our model demonstrated that the magnitude of the electric DLR in comparison with the LVA of the probe and plate surface was considerably diminished when MgO NPs were used to coat the surface of the plate, which agrees completely with our experimental observation.


2000 ◽  
Vol 11 (05) ◽  
pp. 891-900 ◽  
Author(s):  
H. OYMAK ◽  
Ş. ERKOÇ

We investigate the minimum energy configuration of N equal point charges interacting via the Coulomb potential 1/r, and placed on an infinitely thin conducting disk. By minimizing total interaction energy, we obtain numerically the minimum energy configurations from which the rules for the distribution of charges on the disk are obtained.


2014 ◽  
Vol 675-677 ◽  
pp. 106-110
Author(s):  
Wan Lin Zheng ◽  
A Sheng Cao ◽  
Yue Wen ◽  
Hai Rong Chen ◽  
Qi Zhou

The mechanism governing activated sludge flocculation under Al3+ dosing was studied in this paper. Activated sludge was cultivated in sequencing batch reactors (SBR) at 22°C. Batch dosages of Al3+ were 0.00, 0.125, 0.5, 1 and 1.5meq/L respectively, and continuous dosage was 0.1meq/L. As batch dosage increased, the total interaction energy, zeta potential and turbidity tended to decline, which suggested that batch dosing promoted sludge flocculation. Under the equivalent dose, the zeta potential of continuous dosing was higher, while the LB-EPS content showed the opposite tendency and turbidity reduction was similar. Both batch and continuous dosing promoted flocculation performance: in terms of interaction energy, batch dosing was more effective; while in terms of EPS, it was on the contrary.


2011 ◽  
Vol 115 (11) ◽  
pp. 4603-4610 ◽  
Author(s):  
Steven R. Saunders ◽  
Mario R. Eden ◽  
Christopher B. Roberts

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ali Madadizadeh ◽  
Alireza Sadeghein ◽  
Siavash Riahi

AbstractFine migration is a serious problem in petroleum reservoir that causes damage to the reservoir and production equipment. One of the methods to solve this problem is using nanotechnology. Nanoparticles can reduce fine migration by various mechanisms such as reducing the zeta potential, changing the total interaction energy between surfaces, pH, and roughness of the particle’s surfaces. This study presents a review of the methods such as sand pack test, core flood test, and proppant test that study the nanoparticles’ influence on fine migration. Also, there are two different scenarios for the use of nanoparticles to mitigate fine migration. One of these scenarios is the co-injection of nanoparticles and particles suspended fluid, and another scenario is the initial injection of nanoparticles into the porous media (pre-flush). The results of the studies have shown that pre-flush of nanoparticles has a better effect on the control of fine migration.


Water ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 1306 ◽  
Author(s):  
Chunyi Sun ◽  
Na Zhang ◽  
Fazhan Li ◽  
Guoyi Ke ◽  
Lianfa Song ◽  
...  

A systematical quantitative understanding of different mechanisms, though of fundamental importance for better fouling control, is still unavailable for the microfiltration (MF) of humic acid (HA) and protein mixtures. Based on extended Derjaguin–Landau–Verwey–Overbeek (xDLVO) theory, the major fouling mechanisms, i.e., Lifshitz–van der Waals (LW), electrostatic (EL), and acid–base (AB) interactions, were for the first time quantitatively analyzed for model HA–bovine serum albumin (BSA) mixtures at different solution conditions. Results indicated that the pH, ionic strength, and calcium ion concentration of the solution significantly affected the physicochemical properties and the interaction energy between the polyethersulfone (PES) membrane and HA–BSA mixtures. The free energy of cohesion of the HA–BSA mixtures was minimum at pH = 3.0, ionic strength = 100 mM, and c(Ca2+) = 1.0 mM. The AB interaction energy was a key contributor to the total interaction energy when the separation distance between the membrane surface and HA–BSA mixtures was less than 3 nm, while the influence of EL interaction energy was of less importance to the total interaction energy. The attractive interaction energies of membrane–foulant and foulant–foulant increased at low pH, high ionic strength, and calcium ion concentration, thus aggravating membrane fouling, which was supported by the fouling experimental results. The obtained findings would provide valuable insights for the quantitative understanding of membrane fouling mechanisms of mixed organics during MF.


1980 ◽  
Vol 45 (12) ◽  
pp. 3270-3282 ◽  
Author(s):  
Miroslav Urban ◽  
Soňa Hrivnáková ◽  
Pavel Hobza

The total interaction energy between two BH molecules was calculated as a sum of the SCF and correlation interaction energies. The latter was obtained either semiempirically or by the 2nd and 3rd order perturbation theory. It appeared to be the main contribution to the total interaction energy with some geometries. Important differences in the SCF interaction energy of different geometrical configurations of the dimer were explained by the utilization of higher terms of the Coulomb energy multipole expansion. Unexpectedly the geometry of highest stability does not correspond to the linear arrangement of the dimer but rather to the T-shaped structure.


Biofouling ◽  
2012 ◽  
Vol 28 (10) ◽  
pp. 1119-1128 ◽  
Author(s):  
Mau-Yi Wu ◽  
Varunraj Sendamangalam ◽  
Zheng Xue ◽  
Youngwoo Seo

2012 ◽  
Vol 14 ◽  
pp. 521-530 ◽  
Author(s):  
K. V. SHAJESH ◽  
M. SCHADEN

Irreducible many-body contributions to Green's functions and Casimir energies are defined. We show that the irreducible three-body contribution to Casimir energies are significant and can be more than twenty percent of the total interaction energy. Irreducible three-body contribution for three parallel semitransparent plates in the limit when two plates overlap is obtained in terms of irreducible two-body contributions and shown to be finite and well defined in this limit.


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