Reservoir EngineeringWell PerformanceCalculation record

Joshi Isotropic Horizontal Well Effective Radius Calculator

r_{wd}=r_{eh}\frac{L/2}{a\left(1+\sqrt{1-\left(\frac{L}{2a}\right)^2}\right)\left(\frac{h}{2r_w}\right)^{h/L}}

Enter the declared reservoir engineering inputs below to solve r_wd. Variable definitions, units, the default calculation, and the available source trail are included on this page.

Tabular solver

Extended guidance in preparation

What is available in this record

This record provides the functioning calculator, formula, declared variables and units, a reproducible default result, and the available citation metadata. A separately written engineering interpretation has not yet been published for this calculation.

Formula reference

Formula, variables, and default calculation

r_{wd}=r_{eh}\frac{L/2}{a\left(1+\sqrt{1-\left(\frac{L}{2a}\right)^2}\right)\left(\frac{h}{2r_w}\right)^{h/L}}

Reproducible default result

With the default values shown below, the calculation returns r_wd = 721.784886 ft. Defaults demonstrate the implementation; they are not recommended field values.

Aacre

160

Lft

2000

hft

r_wft

0.328

Input definitions

A

acre

Drainage Area

L

Horizontal Well Length

h

Reservoir Thickness

r_w

Wellbore Radius

Output definitions

r_wd

Effective Wellbore Radius of Horizontal Well

r_eh

intermediateft

Equivalent Horizontal Drainage Radius

a_joshi

intermediateft

Major Half-Axis of Drainage Ellipse

Source and record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewed

Joshi, S.D. Horizontal Well Technology, Page 90.

Open source reference