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P T A – LARGE DIA  By A.V.S.S.Anand Scientist Central Ground Water Board Government Of India (avssanand@yahoo.com) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Types Of Formations ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Large Diameter Well Excavations in the Ground to Shallow Depths having Significant Water Storage ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Pumping Test Is A Controlled Field Experiment To Find Out The Hydraulic Characteristics Of An Aquifer Or The Yield Characteristics Of A Well ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Slichter’s Method(1906) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, C= Specific Capacity A= Cross sectional Area S1 = Drawdown when Pumping stopped S2 = Residual draw down at time t’ after    pumping stops
P T A – LARGE DIA  Slichter’s Method(1906) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Slichter’s Method(1906) Limitations ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Muskat’s Method(1937) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object]
P T A – LARGE DIA  Muskat’s Method(1937) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, A = Cross Sectional Area r 0  = Distance at which drawdown is negligible at the end of pumping r w  = Radius of the well s 1 = Drawdown at the time pumping stops s 2 = Residual Drawdown at time t’ after pumping stops.
P T A – LARGE DIA  Muskat’s Method(1937) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Muskat’s Method(1937) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object]
P T A – LARGE DIA  Adyalkar & Mani’s Method(1972) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object]
P T A – LARGE DIA  Hvorslev Method(1951) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Hvorslev Method(1951) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, a = Well Radius S = Shape factor K = Permeability h 1 ,  h 2  =   Drawdowns at t 1  and t 2  Times If water enters through base only the Shape Factor  = 2* Diameter of the Well. Shape Factor was derived based on the studies from Small Diameter Wells.
P T A – LARGE DIA  Raju & Raghav Rao Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object]
P T A – LARGE DIA  Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, W= Hard Rock Permeability a = Cross Sectional Area D = Static Water Column d 1  = Water Column when pumping stopped. d 2  =  Water Column at  t R  minutes t R  = Time Taken For Recouperation
P T A – LARGE DIA  Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q max = Maximum inflow Capacity Of the well w = Hard Rock Permeability D = Static Water Column
P T A – LARGE DIA  Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, t R (max)   = Time Taken For 99% Recovery a = Area Of Cross Section D = Static Water Column Q max = Maximum inflow
P T A – LARGE DIA  Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Modified the Theis Unsteady Confined Radial Flow Equation Where, K =Hydraulic Conductivity U = Drawdown Function Q i  = Discharge of Ground Water inflow into the well R =  Conditional Radius of Influence r w  = Radius of the Well
P T A – LARGE DIA  Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, U = Drawdown Function H   = Thickness Of The Saturated Zone s 0  = Drawdown in the aquifer recorded on the wall of the well or in the observation well.
P T A – LARGE DIA  Zdankus Method(1975) Inflow discharge during Pumping ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q i  = inflow discharge Q  = Discharge of Water Pumped r w  = Radius Of Well  s’ 0  = Decline in Water level in the well per   t Time interval.
P T A – LARGE DIA  Zdankus Method(1975) Inflow discharge during Recovery ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q i  = inflow discharge r w  = Radius Of Well  s’ 0  = Rise in Water level in the well per   t Time interval.
P T A – LARGE DIA  Zdankus Method(1975) Conditional Radius Of Influence ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, R = Conditional Radius Of Influence S Y  = Specific Yield H   = Thickness Of The Saturated Zone s 0  = Drawdown in the aquifer recorded on the wall of the well or in the observation well. K = Hydraulic Conductivity
P T A – LARGE DIA  Zdankus Method(1975) Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Papadopulos - Cooper Method(1967) Assumptions & Conditions ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Papadopulos - Cooper Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Papadopulos - Cooper Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, s = drawdown Q= discharge T= Transmissivity
P T A – LARGE DIA  Papadopulos - Cooper Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, s w  = drawdown inside the well  Q= discharge T= Transmissivity
P T A – LARGE DIA  Papadopulos - Cooper Method(1967) Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Roushton and Singh Method(1982) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Roushton and Singh Method(1982) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object]
P T A – LARGE DIA  Roushton and Singh Method(1982) Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Boulton and Streltsova Method(1976) Assumptions & Conditions ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Boulton and Streltsova Method(1976) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Boulton and Streltsova Method(1976) Assumptions & Conditions ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],l = Distance from water table to bottom of the unlined part of the abstraction well. l 1  = Distance from water table to the  top of the  unlined portion l’ = l/h l’ 1 = l’/h
P T A – LARGE DIA  Boulton and Streltsova Method(1976) Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Singh & Gupta Method (1986)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Singh & Gupta Method (1986)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Singh & Gupta Method (1986)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object]
P T A – LARGE DIA  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Artificial Neural Networks
P T A – LARGE DIA  Yield Test  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object]
P T A – LARGE DIA  Karanjac’s Method (1975)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object]
P T A – LARGE DIA  Karanjac’s Method (1975)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q r = inflow rate during well recovery t r   = time taken for the recovery Q p = Rate of pumping t p  = Time taken for pumping
P T A – LARGE DIA  Karanjac’s Method (1975)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object]
P T A – LARGE DIA  Karanjac’s Method (1975)  Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Karanjac’s Method (1975)  Comments ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object]
P T A – LARGE DIA  Romani’s Method (1973)  Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Romani’s Method (1973)  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
P T A – LARGE DIA  Romani’s Method (1973)  Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object],[object Object],[object Object],[object Object],[object Object]
P T A – LARGE DIA  Romani’s Method (1973)  Procedure ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS ,[object Object]
P T A – LARGE DIA  ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Thank You

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Large Dia Well Tests

  • 1. P T A – LARGE DIA By A.V.S.S.Anand Scientist Central Ground Water Board Government Of India (avssanand@yahoo.com) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 4. P T A – LARGE DIA Types Of Formations ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 12. P T A – LARGE DIA Large Diameter Well Excavations in the Ground to Shallow Depths having Significant Water Storage ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 18. P T A – LARGE DIA Pumping Test Is A Controlled Field Experiment To Find Out The Hydraulic Characteristics Of An Aquifer Or The Yield Characteristics Of A Well ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 33. P T A – LARGE DIA Slichter’s Method(1906) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, C= Specific Capacity A= Cross sectional Area S1 = Drawdown when Pumping stopped S2 = Residual draw down at time t’ after pumping stops
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  • 37. P T A – LARGE DIA Muskat’s Method(1937) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, A = Cross Sectional Area r 0 = Distance at which drawdown is negligible at the end of pumping r w = Radius of the well s 1 = Drawdown at the time pumping stops s 2 = Residual Drawdown at time t’ after pumping stops.
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  • 42. P T A – LARGE DIA Hvorslev Method(1951) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, a = Well Radius S = Shape factor K = Permeability h 1 , h 2 = Drawdowns at t 1 and t 2 Times If water enters through base only the Shape Factor = 2* Diameter of the Well. Shape Factor was derived based on the studies from Small Diameter Wells.
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  • 46. P T A – LARGE DIA Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
  • 47. P T A – LARGE DIA Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, W= Hard Rock Permeability a = Cross Sectional Area D = Static Water Column d 1 = Water Column when pumping stopped. d 2 = Water Column at t R minutes t R = Time Taken For Recouperation
  • 48. P T A – LARGE DIA Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q max = Maximum inflow Capacity Of the well w = Hard Rock Permeability D = Static Water Column
  • 49. P T A – LARGE DIA Kumaraswamy Method(1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, t R (max) = Time Taken For 99% Recovery a = Area Of Cross Section D = Static Water Column Q max = Maximum inflow
  • 50.
  • 51. P T A – LARGE DIA Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
  • 52. P T A – LARGE DIA Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Modified the Theis Unsteady Confined Radial Flow Equation Where, K =Hydraulic Conductivity U = Drawdown Function Q i = Discharge of Ground Water inflow into the well R = Conditional Radius of Influence r w = Radius of the Well
  • 53. P T A – LARGE DIA Zdankus Method(1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, U = Drawdown Function H = Thickness Of The Saturated Zone s 0 = Drawdown in the aquifer recorded on the wall of the well or in the observation well.
  • 54. P T A – LARGE DIA Zdankus Method(1975) Inflow discharge during Pumping ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q i = inflow discharge Q = Discharge of Water Pumped r w = Radius Of Well  s’ 0 = Decline in Water level in the well per  t Time interval.
  • 55. P T A – LARGE DIA Zdankus Method(1975) Inflow discharge during Recovery ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q i = inflow discharge r w = Radius Of Well  s’ 0 = Rise in Water level in the well per  t Time interval.
  • 56. P T A – LARGE DIA Zdankus Method(1975) Conditional Radius Of Influence ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, R = Conditional Radius Of Influence S Y = Specific Yield H = Thickness Of The Saturated Zone s 0 = Drawdown in the aquifer recorded on the wall of the well or in the observation well. K = Hydraulic Conductivity
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  • 59. P T A – LARGE DIA Papadopulos - Cooper Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
  • 60. P T A – LARGE DIA Papadopulos - Cooper Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, s = drawdown Q= discharge T= Transmissivity
  • 61. P T A – LARGE DIA Papadopulos - Cooper Method(1967) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, s w = drawdown inside the well Q= discharge T= Transmissivity
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  • 67. P T A – LARGE DIA Boulton and Streltsova Method(1976) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 71. P T A – LARGE DIA Singh & Gupta Method (1986) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 73. P T A – LARGE DIA ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Artificial Neural Networks
  • 74.
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  • 76. P T A – LARGE DIA Karanjac’s Method (1975) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Where, Q r = inflow rate during well recovery t r = time taken for the recovery Q p = Rate of pumping t p = Time taken for pumping
  • 77.
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  • 81. P T A – LARGE DIA Romani’s Method (1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS
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  • 84. P T A – LARGE DIA ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Thank You