Derivation of pressure distribution models for horizontal well using source function
In oil and gas operation, horizontal well technology has become an important technique because of its numerous advantages. Despite these advantages, determination of pressure distribution expression is a problem because it involve 3D transient-flow that need to be solved. In this work, ten (10) mod...
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Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
2019-05-01
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| Series: | Journal of Applied Sciences and Environmental Management |
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| Online Access: | https://www.Ajol.Info/index.php/jasem/article/view/186370 |
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| author | J.O. Oloro E.S. Adewole |
| author_facet | J.O. Oloro E.S. Adewole |
| author_sort | J.O. Oloro |
| collection | DOAJ |
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In oil and gas operation, horizontal well technology has become an important technique because of its numerous advantages. Despite these advantages, determination of pressure distribution expression is a problem because it involve 3D transient-flow that need to be solved. In this work, ten (10) models for pressure distribution for horizontal well under different boundary variation were derived following these steps for each of the models:(i) choosing a boundary condition for each axis (ii) selecting the appropriate source function for each axis and (iii)applying Newman product rule to arrive at the pressure expression. In conclusion, the following were observed.(a) along the xaxis, seven of the models have infinite-slab sources in infinite-slab sources(b) five of the models derived, along the yaxis they have infinite-plane sources in infinite-slab sources while for the remaining five along the y- axis they have infinite sources(c) along z-axis, six of the models have infinite-plane sources in infinite-slab sources while four of the remaining one have infinite sources(d) Three types of boundaries are observed:(i) Completely bounded boundaries (ii) Mixed boundaries (iii) infinite-acting boundaries(e)Three instantaneous source functions are involved in the pressure distribution expression.
NOMENCLATURE
ye= distance to the external boundary in y-direction
hD= dimensionless height
xe= distance to the external boundary in x-direction
xD= arbitrary dimensionless distance along the x axis
ze= distance to the external boundary in z-direction
yD = arbitrary dimensionless distance along the y axis
zw = Well coordinate in z-direction
zD = arbitrary dimensionless distance along the z axis
yw = Well coordinate in y-direction
τ= dummy integration dimensionless time variable
xw = Well coordinate in x-direction
ɳ= diffusivity constant1
t = Time
Keywords: Source function, Horizontal well, Reservoir, Boundary
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| format | Article |
| id | doaj-art-8cdc3170ad5f44c5834b468038648298 |
| institution | Kabale University |
| issn | 2659-1502 2659-1499 |
| language | English |
| publishDate | 2019-05-01 |
| publisher | Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) |
| record_format | Article |
| series | Journal of Applied Sciences and Environmental Management |
| spelling | doaj-art-8cdc3170ad5f44c5834b4680386482982025-02-08T19:51:36ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992019-05-01234Derivation of pressure distribution models for horizontal well using source functionJ.O. OloroE.S. Adewole In oil and gas operation, horizontal well technology has become an important technique because of its numerous advantages. Despite these advantages, determination of pressure distribution expression is a problem because it involve 3D transient-flow that need to be solved. In this work, ten (10) models for pressure distribution for horizontal well under different boundary variation were derived following these steps for each of the models:(i) choosing a boundary condition for each axis (ii) selecting the appropriate source function for each axis and (iii)applying Newman product rule to arrive at the pressure expression. In conclusion, the following were observed.(a) along the xaxis, seven of the models have infinite-slab sources in infinite-slab sources(b) five of the models derived, along the yaxis they have infinite-plane sources in infinite-slab sources while for the remaining five along the y- axis they have infinite sources(c) along z-axis, six of the models have infinite-plane sources in infinite-slab sources while four of the remaining one have infinite sources(d) Three types of boundaries are observed:(i) Completely bounded boundaries (ii) Mixed boundaries (iii) infinite-acting boundaries(e)Three instantaneous source functions are involved in the pressure distribution expression. NOMENCLATURE ye= distance to the external boundary in y-direction hD= dimensionless height xe= distance to the external boundary in x-direction xD= arbitrary dimensionless distance along the x axis ze= distance to the external boundary in z-direction yD = arbitrary dimensionless distance along the y axis zw = Well coordinate in z-direction zD = arbitrary dimensionless distance along the z axis yw = Well coordinate in y-direction τ= dummy integration dimensionless time variable xw = Well coordinate in x-direction ɳ= diffusivity constant1 t = Time Keywords: Source function, Horizontal well, Reservoir, Boundary https://www.Ajol.Info/index.php/jasem/article/view/186370Source functionHorizontal wellReservoirBoundary |
| spellingShingle | J.O. Oloro E.S. Adewole Derivation of pressure distribution models for horizontal well using source function Journal of Applied Sciences and Environmental Management Source function Horizontal well Reservoir Boundary |
| title | Derivation of pressure distribution models for horizontal well using source function |
| title_full | Derivation of pressure distribution models for horizontal well using source function |
| title_fullStr | Derivation of pressure distribution models for horizontal well using source function |
| title_full_unstemmed | Derivation of pressure distribution models for horizontal well using source function |
| title_short | Derivation of pressure distribution models for horizontal well using source function |
| title_sort | derivation of pressure distribution models for horizontal well using source function |
| topic | Source function Horizontal well Reservoir Boundary |
| url | https://www.Ajol.Info/index.php/jasem/article/view/186370 |
| work_keys_str_mv | AT jooloro derivationofpressuredistributionmodelsforhorizontalwellusingsourcefunction AT esadewole derivationofpressuredistributionmodelsforhorizontalwellusingsourcefunction |