The document discusses various methods for analyzing pumping test data from large diameter wells. It describes the types of large diameter wells commonly used for groundwater extraction. It notes that analyzing pumping test data from such wells is challenging due to factors like well storage effects, partial penetration, and unsteady flow conditions. The document then outlines several methods developed over time to analyze aquifer test and yield test data from large diameter wells, noting the assumptions and limitations of each approach.

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

4. P T A – LARGE DIA Types Of Formations ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS

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

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

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

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.

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.

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

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

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

67. P T A – LARGE DIA Boulton and Streltsova Method(1976) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS

71. P T A – LARGE DIA Singh & Gupta Method (1986) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS

73. P T A – LARGE DIA ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Artificial Neural Networks

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

81. P T A – LARGE DIA Romani’s Method (1973) ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS

84. P T A – LARGE DIA ANALYSIS OF PUMPING TEST DATA LARGE DIAMETER WELLS Thank You