Pressure Transient Analysis

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  • Pressure transient testing

  • Three Distinct Production Periods

  • Transient Region. Flow regimes that occur at different flow times for a well

    flowing at a constant rate. The flowing bottomhole pressure is shown as a

    function of time on both linear and semilog plots. In the transient region, the

    reservoir is infinite-acting, and the flowing bottomhole pressure is a linear

    function of log t. This region is amenable to analysis by transient methods. and

    occurs for radial flow at flow times up to approximately:

    where field units are used: t is time in hours, is porosity as a fraction, is

    viscosity in cp, C is compressibility in psi-1, re is the external radius in ft, and k is

    permeability in md.

    Late-Transient Region. At the end of the transient region and prior to the

    semisteady-state period, there is a transitional period called the late-transient

    region. There are no simple equations that define this region, but the late-

    transient period may be very small or practically nonexistent.

    Semisteady-State Region. If there is no flow across the drainage boundary and

    compressibility is small and constant, a semisteady- or pseudosteadystate

    region is observed in which the pressure declines linearly with time. Pressures in

    the drainage area decrease by the same amount in a given time, and the

    difference between reservoir pressure and wellbore pressure remains constant

    during this period. For radial flow, semisteady-state flow conditions

    Definitions

  • Curve Shape During a Draw Down Test

  • Semi-logarithmic Plot of Pressure Drawdown Test Data

  • Curve Shape During a Pressure-Buildup Test

  • Horner Plot, Wellbore Pressure Data Plotted for MBH - Analysis

  • MDH (Miller-Dyes-Hutchinson) Plot

  • Downtrending Horner Plots

  • Uptrending Horner Plots

  • Extrapolation of MTR Straight Line

  • Extrapolation of MTR Straight Line

  • Radius of Investigation as a Function of Flow Time During a Pressure-drawdown Test

  • Radius of Investigation as a Function of Flow Time During a Pressure-buildup Test

  • Skin Region

  • Two Region Reservoir Model of Altered Zone Near the Wellbore

  • The rule of thumb is to use

  • Range of applicability of pressure methods at 100 oF

  • Figure 5-10 variation of and z

  • Empirical Deliverability equations (rawlins & schellhardt)

    In terms of pressure squared (applicable only at low pressures).

    In terms of psudopressure (applicable over all pressure ranges):

  • Fundamental of Pressure Transient Testing in Gas Wells

  • Pressure Transient Test Analysis In Gas Wells

  • Pressure Transient Test Analysis In Gas Wells

  • Pressure Transient Test Analysis In Gas Wells

  • Flow Efficiency (FE), Pressure Drop due to Skin (P)s, Radius of Investigation (ri)

  • The Unit of Calculations

  • Skin Calculation Procedure

    In the equation for skin factor during the pressure buildup, Pws is measured just before

    shutting in the well, and P1hr is obtained from

    the straight-line portion (extrapolated if

    necessary) of the buildup curve one hour after

    shut-in.

    Similarly, the straight-line portion of the drawdown data must be extrapolated to one

    hour if the data do not fall on the semilog

    straight-line.

  • Constant-Rate Gas Flow Test

  • Discrete-Rate Changes Gas Flow Test (Four Point Deliverability or Backpressure Test)

  • Discrete-Rate Changes Gas Flow Test (Four Point Deliverability or Backpressure Test)

  • Plot:

    Where:

    Non-Darcy Effects in a Gas Well Test (Four Point Deliverability or Backpressure Test)

  • Example-6.1

  • Example-6.1

  • Solution 6.1

  • Solution 6.1

  • Solution 6.1

  • Cartesian Plot of Multi-Rate Test Data

  • Solution 6.1

  • A strictly constant producing rate is impractical or impossible to maintain.

    A more probable mode of operation is production at a constant surface pressure, and if tubing friction effects are negligible, the BHP also is constant.

    At early times, however, both BHP & bottom hole rate may be changing rapidly.

    Data obtained under these nonideal test conditions can be analyzed accurately with a simple modification of the transient flow equation for constant-rate production.

    Variable-Rate Gas Flow Test with Smoothly Changing Rates

  • Surface Production Rate Schedule During Wellbore Storage Period

  • Bottom Hole Flow Rate or Afterflow Following Well Shut-in at the Surface

  • Variable-Rate Gas Flow Test with Smoothly Changing Rates

  • Example-6.2

  • Example-6.2

  • Solution 6.2

  • Solution 6.2

  • Solution 6.2

  • Solution 6.2

  • Solution 6.2

  • Gas Flow Test in Bounded Reservoir

  • Comparison of Dimensionless Pressure Responses for Liquid & Gas Solutions (after Hussainy)

  • Analysis of Gas-Well Buildup Test

  • Buildup Tests with Constant-Rate Production before Shut-In

  • Horners Approximation

    Used to avoid the use of superposition in modeling the production history of a variable-

    rate well.

  • Horners Approximation

  • Buildup Tests with Constant-Pressure Production Before Shut-In

  • Buildup Tests with Constant-Pressure Production Before Shut-In

  • Determining Average Drainage Area Pressure for Gas Wells

  • Determining Average Drainage Area Pressure for Gas Wells

  • MBH Dimensionless Pressure for Various Well Locations in a Square Drainage Area Locations

  • MBH Dimensionless Pressure for Various Well Locations in a 2:1 Rectangular Drainage Area

  • Example-6.4

  • Solution-6.4(Analysis Using Pressure Variables)

  • Solution-6.4(Analysis Using Pressure Variables)

  • Horner Plot Using Pressure

  • Solution-6.4(Analysis Using Pressure Squared Variables)

  • Solution-6.4(Analysis Using Pressure Squared Variables)

  • Horner Plot Using Pressure Squared

  • Solution-6.4(Analysis Using Adjusted Pressure Variables)

  • Solution-6.4(Analysis Using Adjusted Pressure Variables)

  • Horner Plot Using Adjusted & Adjusted Horner Time Ratio

  • Thank You