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Well Testing and Analysis Infinite Acting Reservoirs and Analysis. Model Response First Drawdown after Stabilisation. Presentation Outline. First Drawdown. Pressure Drawdown Response Pressure Drawdown Analysis Type Curves. Pressure. Prof Peter Behrenbruch Prof Pavel Bedrikovetsky.

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  1. Well Testing and Analysis Infinite Acting Reservoirs and Analysis Model Response First Drawdown after Stabilisation Presentation Outline First Drawdown • Pressure Drawdown Response • Pressure Drawdown Analysis • Type Curves Pressure Prof Peter Behrenbruch Prof Pavel Bedrikovetsky Time from start of drawdown Ref: Gringarten

  2. Pressure Drawdown Response

  3. Drawdown Response - General Solution Example of pD(tD) Function Example: Interference Test in an Infinite Reservoir with Homogeneous Behaviour Ref: Gringarten

  4. Infinitive Reservoir, General Line Source Solution 104 105 106 107 108 109 10 Dimensionless Parameters 1 10-1 Valid for 10-2 10-1 103 104 1 10 102

  5. Drawdown Type Curves Example of Independent Variables* Dimensionless parameters, non-unique match Independent variables, unique match Ref: Gringarten * oilfield units

  6. Pressure Drawdown Analysis

  7. Pressure Transient Analysis Logarithmic Approximation of Pressure Drawdown at the wellbore valid for or and in field units where

  8. Single Rate Transient Drawdown Analysis Including Afterflow and Skin Analysis Plot (Drawdown) Equations (field units) Wellbore Storage Effects Slope m is negative 10-1 1 10 102 Time (hrs)

  9. Identification of Correct Analysis for Semi-log Analysis Log-log Drawdown Response and 1½ Log Cycle Rule

  10. Semi-log (Horner) Analysis

  11. Type Curves

  12. Wellbore Storage (1) Rate Response

  13. Wellbore Storage (2) Pressure Response

  14. Wellbore Storage (3) Characteristic on Log-log Plot: 45o Slope 45o slope

  15. Drawdown Type Curves Examples of Independent Variables* Ramey Gringarten * oilfiled units Ref: Gringarten

  16. Analysis Process Model Identification, Parameter Calculation, Model Verification Ref: Gringarten

  17. Drawdown Type Curves Examples of Dimensionless Variables* * oilfiled units Ref: Gringarten

  18. Log-log Analysis Ref: Gringarten

  19. Model Response in the First Drawdown Ref: Gringarten

  20. Type Curve Matching (2) Gringarten Curves Ref: Gringarten

  21. Type Curve Matching (3) Summary of Analysis Results Match point: kh C Type curve selected: S

  22. Type Curve Matching Datum Shifting 3.21

  23. Derivative Type Curve 3.1

  24. p, psi Infinite Acting Radial Flow Straight Line on Semilog Plot Flat Region on Derivative Plot Time, hrs pd td/cd

  25. Dp, psi Wellbore Storage Unit Slope Line on Log-log Plot Unit Slope Line plus Hump* on Derivative Plot pd * The hump on a derivative plot is characteristic of a damaged well (positive skin)

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