Simplified flow calculations for tubes and parallel plates

Fracture acidizing is a well stimulation technique used to improve the productivity of low-permeability reservoirs. The reaction of injected acid with the rock matrix forms dissolution channels (that depend on injection rate, mass transport properties, formation mineralogy, reaction chemistry of the acid, and temperature) through which oil and gas can then flow upon production. The use of a model that can effectively describe fracture acidizing is an essential step in designing an efficient and economical treatment. Several studies have been conducted on modeling fracture acidizing, however, most of these studies have not accounted for the effect of variation in acid temperature (by heat exchange with the formation and the heat generated by acid reaction with the rock) on reaction rate and mass transfer of acid inside the fracture. In this study, a new fracture acidizing model is presented that uses the lattice Boltzmann method for fluid transport and takes into account these temperature effects. The lattice Boltzmann method incorporates both accurate hydrodynamics and reaction kinetics at the solid-liquid interface. This method is also well known for its capability to handle reactive transport in complex geometries. This enables the method to model realistic fracture shapes, on a pore-scale level, and predict the shape of the fracture after acidizing. Results of carbonate fracture dissolution with and without the thermal effects are presented. It is found that including thermal effects alters the predicted shape of the fracture after acidizing.

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“…The initial formation geometry, as shown in The Reynolds number for flow between two parallel plates is given by (Rothfus et al, 1957):…”

Section: Simple Geometrymentioning

confidence: 99%

A Novel Model for Fracture Acidizing with Important Thermal Effects

2013

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Characteristics of transition flow between parallel plates

Whan¹,

Rothfus²

1959

AIChE Journal

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Air flow in a tube with a diverging inlet: I. Development of the turbulent velocity profile

Lana

Christiansen

1967

Can J Chem Eng

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The results from an experimental study of the development of air velocity profiles in a vertical 6.25‐in. I. D., 28.5‐ft. long aluminum tube with a diverging conical entrance are reported. Using the axial development of centerline velocity as a starting‐length criterion, a maximum and asymptotic value was approached at 40 diameters from the tube entrance. The starting length was found to increase with increasing Reynolds number. The large center‐line velocity associated with the jetting of air from a 1‐in. I. D. tube into the diverging conical entrance enabled a more rapid development of the velocity profile than for the well known case of a converging rounded entrance. A limited comparison of undeveloped and fully developed velocity profiles in the turbulent core region of the 6.25‐in. tube was also made over Reynolds numbers from 9,000 to 55,000.

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Simplified flow calculations for tubes and parallel plates

Cited by 18 publications

References 8 publications

A Novel Model for Fracture Acidizing with Important Thermal Effects

A Novel Model for Fracture Acidizing with Important Thermal Effects

Characteristics of transition flow between parallel plates

Air flow in a tube with a diverging inlet: I. Development of the turbulent velocity profile

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