Stochastic Drilling Forecasting via Monte Carlo Simulation
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Solution Overview
Problem
The oil and gas industry faces challenges in accurately forecasting drilling costs and times due to numerous factors affecting each well, including limited rig compatibility and operational complexities, which current methods struggle to quantify effectively.
Innovation Solution
The implementation of stochastic modeling systems that determine potential well sites, available assets, and historical wells with similar attributes, using a stochastic process to estimate drilling costs and times, generate drilling schedules, and predict cost and time estimates for each well site.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional deterministic methods are used for drilling cost and time estimation, then the forecasting process is simple and quick, but the accuracy and reliability of the forecasts are insufficient due to inability to quantify uncertainties
Solution Approach 1:
The patent replaces traditional deterministic mechanical estimation methods with a stochastic computational modeling system. The system uses probability distributions, Monte Carlo simulations, and statistical analysis to model drilling cost and time uncertainties, substituting simple calculation mechanisms with sophisticated computational algorithms that quantify variability and risk.
Solution Approach 2:
The patent introduces stochastic modeling software and computational algorithms as intermediaries between historical drilling data and forecast results. This intermediary layer processes raw historical data through probability distributions and simulation models to produce refined forecasts with quantified uncertainty ranges, acting as a bridge between simple data collection and accurate predictive output.
2Measurement precision
If multiple factors affecting drilling time and cost are taken into consideration, then the forecasting accuracy is improved, but the complexity of the forecasting system increases
Solution Approach 1:
The patent segments the complex forecasting problem into distinct modular components: historical data collection modules, probability distribution fitting modules, Monte Carlo simulation modules, and result analysis modules. Each module handles a specific aspect of the forecasting process, allowing multiple factors to be considered independently and systematically while maintaining overall system manageability.
Solution Approach 2:
The patent transforms fixed deterministic parameters into variable stochastic parameters with associated probability distributions. Instead of using single fixed values for drilling time and cost, the system assigns probability distributions to multiple factors (rig type, well depth, location, geological conditions), allowing the model to capture the inherent variability and interrelationships among these factors.
3Reliability
If stochastic modeling is implemented to quantify uncertainties, then the reliability of drilling forecasts is improved, but the computational resources and time required increase
Solution Approach 1:
The patent implements a tiered stochastic modeling approach where the full computational power is applied only when necessary. The system can perform rapid deterministic estimates for preliminary planning, then apply full stochastic modeling only for critical wells or high-stakes decisions, achieving high reliability where needed while minimizing unnecessary computational overhead for routine operations.
Solution Approach 2:
The patent performs preliminary data preparation and probability distribution fitting during the planning phase, storing pre-processed historical data and fitted distributions. When actual forecasting is needed, the system retrieves pre-prepared models and runs simulations more efficiently, having already done the computationally intensive data cleaning, normalization, and distribution fitting work in advance.
Data Source
AI summary
Systems and methods for stochastic modeling for drilling forecasts. One embodiment includes determining a plurality of potential well sites and a well attribute, determining available assets for drilling a well, and determining historical wells with a similar attribute. Some embodiments include using a stochastic process to estimate drilling costs and drilling times for drilling the well at each of the plurality of potential well sites, generating a predetermined number of drilling schedules for the plurality of potential well sites, and predicting a cost and time estimate for drilling of each well at the plurality of potential well sites for each of the predetermined number of drilling schedules. Some embodiments include determining a probability distribution of cost for implementing a subset of the predetermined number of drilling schedules for the predetermined time period and providing the probability distribution of cost for output prior to a start of the predetermined time period.


