### Abstract

The purpose of this study is to estimate the pressure disturbance area, or the propagation of the radius of investigation, from a producing well in an infinite reservoir by using both analytical and numerical methods. A linear (or radius) coefficient in the relationship between the square of the dimensionless radius of investigation and the dimensionless time is studied and derived. The radius coefficient in the equation is a constant, and varies with different criteria of radius of investigation defined, i.e., the amount of pressure change from the initial formation pressure at the pressure front of the pressure disturbance area. As the dimensionless pressure defined at the pressure front changed from 0.1095 to 10-9, the radius coefficient varied from 4 to 71.15. The radius coefficient is independent of the level of the flow rate for a well producing at a constant flow rate. For a well producing with variable flow rates, the radius coefficient is not a constant for the case of larger pressure drops defined at the pressure front. The skin factor does not affect the result of the calculated radius of investigation. The wellbore storage volume will affect the propagation of the radius of investigation only at an early time, depending on the wellbore storage volume.

Original language | English |
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Pages (from-to) | 403-417 |

Number of pages | 15 |

Journal | Energy Sources, Part A: Recovery, Utilization and Environmental Effects |

Volume | 29 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2007 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Energy Engineering and Power Technology
- Fuel Technology
- Nuclear Energy and Engineering
- Renewable Energy, Sustainability and the Environment

### Cite this

*Energy Sources, Part A: Recovery, Utilization and Environmental Effects*,

*29*(5), 403-417. https://doi.org/10.1080/15567030601003759

}

*Energy Sources, Part A: Recovery, Utilization and Environmental Effects*, vol. 29, no. 5, pp. 403-417. https://doi.org/10.1080/15567030601003759

**Propagation of radius of investigation from producing well.** / Hsieh, Bieng-Zih; Chilingar, G. V.; Lin, Z. S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Propagation of radius of investigation from producing well

AU - Hsieh, Bieng-Zih

AU - Chilingar, G. V.

AU - Lin, Z. S.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - The purpose of this study is to estimate the pressure disturbance area, or the propagation of the radius of investigation, from a producing well in an infinite reservoir by using both analytical and numerical methods. A linear (or radius) coefficient in the relationship between the square of the dimensionless radius of investigation and the dimensionless time is studied and derived. The radius coefficient in the equation is a constant, and varies with different criteria of radius of investigation defined, i.e., the amount of pressure change from the initial formation pressure at the pressure front of the pressure disturbance area. As the dimensionless pressure defined at the pressure front changed from 0.1095 to 10-9, the radius coefficient varied from 4 to 71.15. The radius coefficient is independent of the level of the flow rate for a well producing at a constant flow rate. For a well producing with variable flow rates, the radius coefficient is not a constant for the case of larger pressure drops defined at the pressure front. The skin factor does not affect the result of the calculated radius of investigation. The wellbore storage volume will affect the propagation of the radius of investigation only at an early time, depending on the wellbore storage volume.

AB - The purpose of this study is to estimate the pressure disturbance area, or the propagation of the radius of investigation, from a producing well in an infinite reservoir by using both analytical and numerical methods. A linear (or radius) coefficient in the relationship between the square of the dimensionless radius of investigation and the dimensionless time is studied and derived. The radius coefficient in the equation is a constant, and varies with different criteria of radius of investigation defined, i.e., the amount of pressure change from the initial formation pressure at the pressure front of the pressure disturbance area. As the dimensionless pressure defined at the pressure front changed from 0.1095 to 10-9, the radius coefficient varied from 4 to 71.15. The radius coefficient is independent of the level of the flow rate for a well producing at a constant flow rate. For a well producing with variable flow rates, the radius coefficient is not a constant for the case of larger pressure drops defined at the pressure front. The skin factor does not affect the result of the calculated radius of investigation. The wellbore storage volume will affect the propagation of the radius of investigation only at an early time, depending on the wellbore storage volume.

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U2 - 10.1080/15567030601003759

DO - 10.1080/15567030601003759

M3 - Article

VL - 29

SP - 403

EP - 417

JO - Energy Sources, Part A: Recovery, Utilization and Environmental Effects

JF - Energy Sources, Part A: Recovery, Utilization and Environmental Effects

SN - 1556-7036

IS - 5

ER -