Modified Hyperbolic Decline

Description

Modified Hyperbolic decline model that transitions from hyperbolic to exponential decline at a specified terminal decline rate. This addresses the unrealistic EUR predictions from pure hyperbolic decline with high b-factors.

Model Behavior:

  • Early time: Hyperbolic decline (faster decline)
  • Late time: Exponential decline (terminal Dlim)
  • Prevents infinite EUR from b > 0

Spreadsheet Preview

29 rows x 5 columns

Required Functions

PO.DCA.ModHyp.Rate

Calculates rate using modified hyperbolic production decline curve. Units of volume [L3] and time [T] must be consistent.

PO.DCA.Arps.Rate

Calculates rate using Arps (1945) decline curve, [L3/T]. Units of volume [L3] and time [T] must be consistent. Use b=0 for exponential, 0<b<1 for hyperbolic, b=1 for harmonic.

PO.DCA.ModHyp.Prod

Calculates cumulative production using modified hyperbolic production decline curve. Units of volume [L3] and time [T] must be consistent.

PO.DCA.Arps.Prod

Calculates cumulative production using Arps (1945) decline curve, [L3]. Units of volume [L3] and time [T] must be consistent. Use b=0 for exponential, 0<b<1 for hyperbolic, b=1 for harmonic.

PO.DCA.ModHyp.EUR

Estimated Ultimate Recovery (EUR) to an economic rate limit for modified hyperbolic decline, [L3]. Returns cumulative production up to the time the rate reaches the economic limit.

PO.DCA.Arps.EUR

Estimated Ultimate Recovery (EUR) to an economic rate limit for Arps decline, [L3]. Returns cumulative production up to the time the rate reaches the economic limit.

How to use this blueprint
  1. In Excel, go to the Petroleum Office ribbon tab and click Blueprint Manager
  2. Search for Modified Hyperbolic Decline
  3. Click on the blueprint to preview the spreadsheet template
  4. Click Insert to place it into your worksheet. Modify the input values to match your data.

Related Theory

Modified Hyperbolic Decline Model

Hybrid decline model combining hyperbolic and exponential decline with a terminal decline rate for realistic long-term production forecasting.

Arps Decline Curve Analysis - Exponential, Hyperbolic, and Harmonic Models

Complete theory and equations for classical Arps decline curves including exponential, hyperbolic, and harmonic models for production forecasting and EUR estimation.

Ansah-Knowles-Buba (AKB) Decline Model

Semi-analytical decline model for gas wells under boundary-dominated flow, derived from material balance principles

Decline Curve Statistics

Objective functions for evaluating decline curve model fit quality including SSE, log-space SSE, and weighted variants

Field Production Profiles

Aggregate production modeling for multi-well field development using parametric and discrete convolution approaches

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Duong Decline Forecast

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EUR Calculator

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Tags:
declinemodified hyperbolicterminal declinearpsexponential

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