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Effective Wellbore Radius of a Horizontal Well – Method 1 (Anisotropic Reservoirs) Formula

rwd=rehL2a(1+1(L2a)2)(βh2rw)βhLr_{wd} = \frac{r_{eh} \cdot \frac{L}{2}}{a \cdot \left(1 + \sqrt{1 - \left(\frac{L}{2a}\right)^2}\right) \cdot \left(\frac{\beta h}{2r_w}\right)^{\frac{\beta h}{L}}}

Effective Wellbore Radius of a Horizontal Well – Method 1 (Anisotropic Reservoirs) calculates effective wellbore radius for well performance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (A, L, k_h, k_v, h, r_w) are known and the assumptions behind the cited well performance relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, r_wd equals 111.569605 ft.

Aacres

40

Lft

1000

k_hmd

100

k_vmd

10

hft

50

r_wft

0.5

Inputs

A

acres

Drainage Area

L

ft

Length of Horizontal Well

k_h

md

Horizontal Permeability

k_v

md

Vertical Permeability

h

ft

Reservoir Thickness

r_w

ft

Wellbore Radius

Outputs

r_eh

intermediateft

Radial Equivalent Drainage Radius

a

intermediateft

Dimensionless Length Parameter

beta

intermediatedimensionless

Anisotropy Ratio

r_wd

ft

Effective Wellbore Radius

Source and review

reviewed

Horizontal Well Technology, Joshi, Page: 90.

Source

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