A Semi-Empirical Model To Calculate Wormhole Growth in Carbonate Acidizing

2005 ◽  
Author(s):  
Marten Adriaan Buijse ◽  
Gerard Glasbergen
Keyword(s):  
Empirical Model ◽  
Carbonate Acidizing ◽  
Semi Empirical

scholarly journals A Semi-Empirical Model for Predicting Frost Properties

Processes ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 412
Author(s):  
Shao-Ming Li ◽  
Kai-Shing Yang ◽  
Chi-Chuan Wang
Keyword(s):  
Thermal Conductivity ◽  
Linear Programming ◽  
Numerical Model ◽  
Empirical Model ◽  
Quantitative Method ◽  
Predictive Ability ◽  
Dimensionless Temperature ◽  
Crystal Shape ◽  
Proposed Model ◽  
Semi Empirical

In this study, a quantitative method for classifying the frost geometry is first proposed to substantiate a numerical model in predicting frost properties like density, thickness, and thermal conductivity. This method can recognize the crystal shape via linear programming of the existing map for frost morphology. By using this method, the frost conditions can be taken into account in a model to obtain the corresponding frost properties like thermal conductivity, frost thickness, and density for specific frost crystal. It is found that the developed model can predict the frost properties more accurately than the existing correlations. Specifically, the proposed model can identify the corresponding frost shape by a dimensionless temperature and the surface temperature. Moreover, by adopting the frost identification into the numerical model, the frost thickness can also be predicted satisfactorily. The proposed calculation method not only shows better predictive ability with thermal conductivities, but also gives good predictions for density and is especially accurate when the frost density is lower than 125 kg/m3. Yet, the predictive ability for frost density is improved by 24% when compared to the most accurate correlation available.

scholarly journals Extrapolability and limitations of a semi-empirical model for the simulation of volumetric expanders

2017 ◽  
Vol 129 ◽  
pp. 315-322 ◽  
Author(s):  
Olivier Dumont ◽  
Rémi Dickes ◽  
Vincent Lemort
Keyword(s):  
Empirical Model ◽  
Semi Empirical

scholarly journals Erratum: Semi-empirical model for depth dose distributions of megavoltage x-ray beams [Med. Phys. 7 , 537 (1980)]

1981 ◽  
Vol 8 (2) ◽  
pp. 251-251
Author(s):  
Sain D. Ahuja ◽  
Steven L. Stroup ◽  
Marion G. Bolin
Keyword(s):  
Empirical Model ◽  
Dose Distributions ◽  
X Ray ◽  
Depth Dose ◽  
Semi Empirical

Analytical Model for Estimation of Pore Volume to Breakthrough in Carbonate Acidizing with Organic and Mineral Acids

2021 ◽  
Author(s):  
Sina Lohrasb ◽  
Radzuan Junin ◽  
Augustine Agi ◽  
Mohd Zaidi Jaafar ◽  
Afeez Gbadamosi ◽  
...  
Keyword(s):  
Empirical Model ◽  
Pore Volume ◽  
Reaction Rates ◽  
Coefficient Of Determination ◽  
Oil Well ◽  
Treatment Technique ◽  
Carbonate Formation ◽  
Carbonate Cores ◽  
Experimental Works ◽  
Carbonate Acidizing

Abstract Acidizing is one of the most useful methods in the oil well stimulations. This treatment technique creates capillary wormholes in the carbonate formations to enhanced fluids flow production of a reservoir. One of the main indexes for recognizing the wormhole characterization is the pore volume to breakthrough number. Therefore, calculating this number is one of the main goals in the carbonate acidizing. Obtaining this number is always required for experimental works, which needs time, energy and cost. In this article, an empirical model was used to evaluate carbonate acidizing procedure in the limestone and dolomite cores as the carbonate cores. This empirical model measures the number of wormholes formed in the carbonate cores after acid injection by using the conservation of mass law. In this method, the transport relative reaction rates of acid and core inside the structure of wormhole was maintained during the wormhole creation process. Growing the wormhole in the carbonate formation was developed step by step. Changes in acid concentration as an injected fluid flow were accounted for in this empirical model. Also, the changes in carbonate porosity, the effect of Damköhler number, and injection rate were included in the model. Two types of carbonate rocks and five types of acids with different molar masses were used in this model for the analysis and validation of the model. The results from experimental works was significance and justifies the use of use of the law for mass transport and chemical reactions. Evaluation of the developed model with other experimental and numerical results gave an excellent assessment of 95.45% for the average accuracy and 0.9933 for the average coefficient of determination. Therefore, an empirical technique to approximate the pore volumes to breakthrough number in the limestone and dolomite cores with high accuracy using physical core and acid properties is proposed.

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