Hyfran Plus

: Determines whether an environmental dataset exhibits upward or downward historical trends over time, which is essential given ongoing climate volatility.

: Verifies that individual data points are random and not influenced by preceding events.

Developed as an evolution of the original HYFRAN software, this version offers advanced mathematical tools for fitting statistical distributions to data.

Hyfran Plus delivers a step-change in fracturing fluid performance by enabling reliable, high-efficiency stimulations in challenging water and temperature environments. Its unique dual-polymer system reduces chemical footprint, lowers pumping costs, and improves well productivity—making it a preferred choice for operators seeking both economic and environmental performance in unconventional assets. hyfran plus

Developed by the Chair in Statistical Hydrology at the in Quebec, Canada, it is the advanced successor to the original HYFRAN software. While the original HYFRAN is no longer available, HYFRAN-PLUS includes all of its tools and more, making it the definitive version from the research team.

Hyfran Plus is highly regarded for its robust statistical capabilities. Key features include: 1. Extensive Probability Distributions

Integrated expert Decision Support System (DSS) Core Functionality and Statistical Framework Hyfran Plus delivers a step-change in fracturing fluid

While HYFRAN-PLUS is a powerful specialized tool, other software options exist for frequency analysis:

| Function Category | Description | |---|---| | Statistical Hypothesis Verification | Independence testing, homogeneity testing, stationarity analysis | | Probability Distributions | 11+ theoretical distributions including Gumbel, GEV, Normal, Log-normal, Gamma, Pearson Type III | | Parameter Fitting Methods | Method of Moments, Probability Weighted Moments, Maximum Likelihood | | Output Capabilities | Quantile estimation, confidence intervals, return period analysis | | Decision Support System | Class C/D distribution discrimination, log-normality testing |

This is where the Decision Support System (DSS) becomes invaluable. The DSS helps users identify which class of distributions is most suitable for their data's extreme values. For example, one study in the Al-Adhaim Basin in Iraq used HYFRAN-PLUS to analyze rainfall. The software allowed the researchers to objectively determine that the Gumbel distribution was the most appropriate model for their data. While the original HYFRAN is no longer available,

(Hydrological Frequency Analysis). It was created by Professor Taha B.M.J. Ouarda and his team at INRS to provide a user-friendly interface for complex mathematical models. It allowed researchers to: Frequency Analysis on independent and identically distributed (IID) data.

The primary goal of HYFRAN-PLUS is to take a sample of historical data and find the best-fitting mathematical model (a probability distribution) to represent it. This model can then be used to calculate the probability of events with specific (e.g., a "100-year flood").

Several online tutorials and guides are available for learning HYFRAN-PLUS: