A Simple Correlation For Estimating Pressure Drop In A Horizontal Well

1999 ◽  
Author(s):  
N. Bjomdalen ◽  
M.R. Islam
ACS Omega ◽  
2020 ◽  
Vol 5 (45) ◽  
pp. 29209-29221
Author(s):  
Ping Yue ◽  
Hongnan Yang ◽  
Chuanjian He ◽  
G. M. Yu ◽  
James J. Sheng ◽  
...  

2021 ◽  
Author(s):  
A V Ogbamikhumi ◽  
E S Adewole

Abstract Dimensionless pressure gradients and dimensionless pressure derivatives characteristics are studied for horizontal and vertical wells completed within a pair of no-flow boundaries inclined at a general angle ‘θ’. Infinite-acting flow solution of each well is utilized. Image distances as a result of the inclinations are considered. The superposition principle is further utilized to calculate total pressure drop due to flow from both object and image wells. Characteristic dimensionless flow pressure gradients and pressure derivatives for the wells are finally determined. The number of images formed due to the inclination and dimensionless well design affect the dimensionless pressure gradients and their derivatives. For n images, shortly after very early time for each inclination, dimensionless pressure gradients of 1.151(N+1)/LD for the horizontal well and 1.151(N+1) for vertical well are observed. Dimensionless pressure derivative of (N+1)/2LD are observed for central and off-centered horizontal well locations, and (N+1)/2 for vertical well are observed. Central well locations do not affect horizontal well productivity for all the inclinations. The magnitudes of dimensionless pressure drop and dimensionless pressure derivatives are maximum at the farthest image distances, and are unaffected by well stand-off for the horizontal well.


2012 ◽  
Vol 616-618 ◽  
pp. 674-679
Author(s):  
Ke Liu Wu ◽  
Xiang Fang Li ◽  
Xiao Ting Gou

According to material balance principle, gas/water bearing height in gas reservoir with bottom water could be deduced. Additionally, sweep efficiency could be approximately determined, then based on the equivalent flowing resistance method and critical vertical velocity of bottom water drive, computational model of Critical Producing Pressure Drop during the development of gas reservoir with bottom water could be derived. Therefore, the variance principle of Critical Producing Pressure Drop of horizontal well can be expressed quantitatively, and this paper also analyzes that it is influenced by the ratio of vertical permeability to horizontal permeability, the difference between water and gas density, the ratio of water viscosity to gas viscosity and height for bottom water coning. The results could provide guidelines for the determination of reasonable producing pressure drop and producing rate of horizontal well in gas reservoir with bottom water.


SPE Journal ◽  
2018 ◽  
Vol 23 (05) ◽  
pp. 1603-1614 ◽  
Author(s):  
Wanjing Luo ◽  
Changfu Tang ◽  
Yin Feng

Summary This study aims to develop a semianalytical model to calculate the productivity index (PI) of a horizontal well with pressure drop along the wellbore. It has been indicated that by introducing novel definitions of horizontal-well permeability and conductivity, the equation of fluid flow along a horizontal well with pressure drop has the same form as the one for fluid flow in a varying-conductivity fracture. Thus, the varying-conductivity-fracture model and PI model can be used to obtain the PI of a horizontal well. Results indicate that the PI of a horizontal well depends on the interaction between horizontal-well conductivity, penetration ratio, and Reynolds number. New type curves of the penetration ratios with various combinations of parameters have been presented. A complete-penetration zone and a partial-penetration zone can be identified on the type curves. Based on the type curves, two examples have also been presented to illustrate the advantages of this work in optimizing parameters of horizontal wells.


Author(s):  
M. Michael Yovanovich

Models, numerical and experimental results for developed laminar flow of liquids in long isosceles trapezoidal and triangular microchannels KOH-etched in < 100 > silicon substrates are reviewed and compared. The equivalent rectangle model (ERM) based on a novel model for the effective aspect ratio was developed for non-circular microchannels; it will be compared with the numerical results of Morini (2004) and McHale and Garimella (2010) as well as the extensive experimental data of Wu and Cheng (2003) for several trapezoidal and triangular microchannels. In addition, a simple correlation equation for all numerical and experimental data (62 points) is presented. The equivalent rectangle model is accurate with rms difference of 3.1%. A maximum difference of −7% occurs for data obtained for flow through four very narrow trapezoidal microchannels.


2012 ◽  
Vol 452-453 ◽  
pp. 1374-1378
Author(s):  
Lan Ren ◽  
Jin Zhou Zhao ◽  
Yong Quan Hu ◽  
Nan Li

Based on the fluid dynamics and seepage mechanics, a mathematical analysis model in which the wellbore flow has been coupled with reservoir flow is established for the stepped horizontal well through the oil layers in three independent fault blocks. In the model, the reservoir flow is considered to be unsteady-state and wellbore pressure drop calculation model is established considering the influence of the on-way influx by using mass conservation principle and the theory of infinitesimal line congruence. Taking different curvature radius into account, a pressure drop calculation method is put forward for the layer-layer connective segments. With the mathematical analysis model, the flow behaviors of stepped horizontal well through multi-independent fault blocks has been analyzed and suggested by the calculation results, the optimal arrangement with good oil layer close to the heel side and the poor close to the finger is recommended for the minimum wellbore friction and the highest production.


2015 ◽  
Vol 8 (1) ◽  
pp. 97-102
Author(s):  
Liu Hong ◽  
Pang Jin ◽  
Chang Xuejun ◽  
Yu Xinan ◽  
Zhang Xu

The percolation mechanism and regularity for stepped horizontal well in multi-layer complex fault block reservoir are complex. A percolation mathematical model based on unsteady flow mathematical model is built up in this paper. In the model, the reservoir couples with one horizontal well in sealed reservoir which perforates through mutually unconnected formation. Laplace transform, Stehfest inversion and Conjugate gradient are used to solve the model. The pressure distribution results of different time and production distribution results of different well section can be obtained. The results of pressure drop and pressure drop derivative calculated by this model are close to the results calculated by the Saphir software, and the agreement rate is 99%, which proves the model is of great reliability. Compared with Saphir software, the capacity of horizontal section through multiple sand at the same time can be calculated, which is the advantage of this model. It is not suitable for heterogeneous reservoir and the reservoir with supply boundary, which is the limitation. A two-layer block fault reservoir has been used to carry out the field study through the model, simplifying the irregular shape of reservoir for rectangular reservoir at first. Then a double-stage horizontal well is used to pass through the upper layer and the lower layer orderly in this reservoir, the simulation calculation of the well can use the double-stage horizontal well model, and the model can calculate the average pressure drop and pressure drop derivative of various production phases in the bottom hole accurately .The reservoir flow stage and the flow time in different periods can be judged through pressure drop and pressure drop derivative in the bottom hole, which can also calculate the distribution of production along the horizontal section in different periods at the same time. It can provide theoretical foundation of reservoir research engineering and production engineering design for reservoir development with stepped horizontal well in multilayer complex fault block reservoir.


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