Compound linear typecurve method

Compound linear typecurves are useful for analyzing horizontal multifrac wells producing from tight gas or shale wells.

Note:   For more information on Compound Linear typecurve theory and equations, see compound linear typecurve theory.

This method uses the horizontal multifrac model.

Horizontal multifrac model

There are two sets of compound linear typecurves:

1. Pressure-time — uses normalized pressures: the constant rate solution

2. Rate-time — uses normalized rates:  the reciprocal of the constant rate solution

Rate-time and pressure-time are reciprocals of one another, and simply plot the data on the typecurves differently.

Rate-time and pressure-time

Boundary-dominated match

As the compound linear typecurves were developed using an infinitely large reservoir, there is no boundary-dominated flow stem. However, entering a value for either Ye or Area (A), will produce a dashed boundary-dominated flow line that intersects the selected typecurve.

Note:   A typecurve must be selected before the boundary-dominated line is plotted.

If boundaries have been reached, the production data deviates from the compound linear typecurve on to the boundary-dominated line.

Boundary-dominated match

Transient match

Compound linear typecurves were developed for a horizontal, multifrac well in an infinite reservoir. The first half slope indicates linear flow into the fractures, while the second half slope indicates linear flow into the fractured region. The two half slopes are connected by a transition period. Most production data is expected to fall in the transition zone.

Transient match

Selecting the "Square Root Derivative" plot displays the linear flow periods as flat lines, which may be helpful for matching data.

Square Root Derivative plot

Matching data to a typecurve gives the xi / xf ratio. Entering a value for number of fractures (nf) calculates the following values:

  • Ls
  • xf√kSRV
  • xf
  • xi

Note:   Entering a value for Ls calculates nf.

Skin

Generally, skin effects impact the first linear flow period, causing the data to deviate from the ideal typecurve.

To correct for skin effects on the Normalized Pressure or Rate curves:

1. Match the later part of the data to a typecurve.

2. Select the typecurve that matches the data most closely.

3. Enter the number of fractures (nf) or Ls.

Match the later part of the data to a typecurve

4. Right-click the plot and hold your mouse button. This highlights the data point closest to the top left corner for Rate-Time (bottom left for Pressure-Time), and the cursor changes to a triangle.

Right-click the plot

5. While continuing to hold the right-mouse button, move the cursor up or down until the early portion is matched on the typecurve.

Early portion is matched on the typecurve

Moving the data in this manner populates the cell. This value is then used to convert the dimensionless pressure drop into an equivalent apparent skin, apparent fracture conductivity, and dimensional pressure drop.

For more details on the calculations, see compound linear typecurve theory.