Well Test Analysis of a Horizontal Well in a Completely Bounded Isotropic Reservoir

International Journal of Mathematics Trends and Technology (IJMTT)
© 2022 by IJMTT Journal
Volume-68 Issue-8
Year of Publication : 2022
Authors : Bakary L. Marong, Phineas Roy Kiogora, Kennedy Otieno Awuor

How to Cite?

Bakary L. Marong, Phineas Roy Kiogora, Kennedy Otieno Awuor, "Well Test Analysis of a Horizontal Well in a Completely Bounded Isotropic Reservoir," International Journal of Mathematics Trends and Technology, vol. 68, no. 8, pp. 46-66, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P506

A well test or well testing is consider as an elaborate plan of activity by an engineer to acquire, analyze and understand data about the properties of hydrocarbons which are trap below the surface of the earth in a reservoir and use the data to understand the reservoir itself. This study investigate the well test analysis of horizontal well in a completely bounded isotropic reservoir in a case where the non-dimensionalize flow parameters are plot on a log-log axis to analyze the pressure response in a horizontal well. It is also clear that horizontal well analysis is more difficult than vertical well analysis, because assessing the flow into a horizontal well requires three dimensions as oppose to a single flow for vertical wells. We develop five (5) well test analysis models to characterize a reservoir and predict the performance of a horizontal well, the non-dimensionalize flow parameters are plot on a log-log axis to analyze the pressure response in a horizontal well, we determine optimum well length for a horizontal well production. We use Source and Green's function with Newmann's product to develop the models, and we implement the results on matlab. We observe that from table 2 to table 11, as LD increases both the PD and PD'decreases when the well is initially open for production, this shows that dimensionless horizontal well length is inversely proportional to both the dimensionless pressure and dimensionless pressure derivative

Keywords : early radial, dimensionless pressure, dimensionless pressure derivative, horizontal well, reservoir.


[1] Aghar,H.,Carie,M.,Elshahawi,H.,Gomez,J.R.,Saeedi,J.,Young,C.,...Theuveny,B. The expanding scope of well testing. In oilfield review (Vol.19,pp.44-59),(2007)
[2] Akin,S. Design and analysis of multi-well interference tests. In proceedings of the world geothermal congress,melbourne,autralia(pp.19-25), (2015)
[3] Bourdet,D. Well test analysis: the use of advanced interpretation models, Elsevier,(2002)
[4] Cheng,Y. Pressure transient testing and productivity analysis for horizontal wells. Texas A and M university,(2003)
[5] Duan,Y.G.,Ren,K.Y.,Fang,Q.T.,Wei,M.Q.,Dejam,M.,Chen,W.H. Pressure transient analysis for a horizontal well in heterogenous carbonate reservoir using a linear composite model. Mathematical problems in engineering,(2020)
[6] Eiroboyi,I., Obeta,P. The performance of a vertical well subject to edge water drive. In Advanced materials research (Vol.1025,pp.974-978),(2014)
[7] Gao,Y.,Rahman,M.M.,Lu,J. Novel mathematical model for transient pressure analysis of multifractured horizontal wells in naturally fractured oil reservoirs. ACS Omega,6(23),15205-15221,(2021)
[8] Gilman,J.R.,Jargon,J.R. Evaluating horizontal versus vertical well performance. World Oil,213(6):55-60,(1992)
[9] Idudje,E.,Adewole,E. A new test analysis procedure for pressure drawdown test of a horizontal well in an infinite-acting reservoir, Nigerian Journal of Technology,39(3),816- 820,(2020)
[10] Igba,S.,Akanji,L.,Onwuliri,T. Horizontal versus vertical wells interference in hydraulically fractured shale reservoirs, Journal of Oil, Gas and Petrochemical Sciences,(2019)
[11] Kutasov,I.,Eppelbaum,L.,Kagan,M.Interference well testing-variable fluid flow rate, Journal of Geophysics and Engineering,5(1),86-91,(2008)
[12] Lee,W.J. Well testing. Society of Petroleum Engineering of AIME, New York,(1982)
[13] Li,X.P.,Yan,N.P.,Tan,X.H. Characteristic value method of well test analysis for horizontal gas well. Mathematical problems in engineering,(2014)
[14] Mach,J.,Promo,E.,Brown,K.E. A nodal approach for applying systems analysis to the flowing and artificial lift oil or gas well. Society of petroleum engineers,(1979)
[15] Mohammed,I.,Olayiwola,T.O,Alkathim,M.,Awotunde,A.A.,Alafnan,S.F. A review of pressure transient analysis in reservoirs with natural fractures,vugs and/or caves. Petroleum Science,18(1),154-172,(2021)
[16] Nzomo,T.K.,Adewole,S.E.,Awuor,K.O.,Oyoo,D.O. Performance of a horizontal well in a bounded anisotropic reservoir:part i: Mathematical analysis. Open Engineering,12(1),17-28,(2022)
[17] Nie,R,S.,Guo,J.C.,Jia,Y.L.,Zhu,S.Q.,Rao,Z.,Zhang,C.G. New modelling of transient well test and rate decline analysis for a horizontal well in a multiple-zone reservoir. Journal of Geophysics and Engineering,8(3),464,(2011)
[18] Ogbamikhumi,A.,Adewole,E. Pressure bahaviour of a horizontal well sandwiched between two parallel sealing faults. Nigerian Journal of Technology,39(1),148- 153,(2020)
[19] Orene,J.,Adewole,E. Pressure distribution of a horizontal well in a bounded reservoir with constant pressure top and bottom. Nigerian Journal of Technology,39(1),154-160,(2020)
[20] Ouyang,W.,Sun,H.,Han,H. A new well test interpretation model for complex fracture networks in horizontal wells with multi-stage volume fracturing in tight gas reservoirs. Natural gas Industry B, 7(5),514-522,(2020)
[21] Sanni,M.O.,Gringarten,A.C. Well test analysis in volatile oil reservoirs. In Spe annual technical conference and exhibition,(2008)
[22] Soleiman,R.,Jahanpeyma,Y.,Salehian,M. Analysis of horizontal well productivity in tight gas formations and its sensitivity to reservoir properties. Journal of petroleum exploration and production technology,9(2),1237-1244,(2019)
[23] Temizel,C.,Irani,M.,Ghannadi,S.,Canbaz,C.H.,Moreno,R.,Bashtani,F.,Basri,M.A. Optimization of steam-additive processes with dts/das applications in heavy oil reservoirs. In Spe annual technical conference and exhibition,(2019)
[24] Zhang,J.,Cheng,S.,Di,S.,Gao,Z.,Yang,R.,Cao,P. A two-phase numerical model of well test analysis to characterize formation damage in near well regions of injection wells. Geofluids,(2021)
[25] Zhuo,L.,Yu,J.,Zhang,H.,Zhou,C. Influence of horizontal well section length on the depressurization development effect on natural gas hydrate reservoirs. Natural Gas Industry b, 8(5), 505-513,(2021).