In oil exploration
and development, many reservoir parameters are
very essential for reservoir description, especially porosity. The
porosity obtained by indoor experiments is reliable, but human and
material resources will be greatly invested. Experts have introduced
machine learning into the field of porosity prediction but with the
shortcomings of traditional machine learning models, such as hyperparameter
abuse and poor network structure. In this paper, a meta-heuristic
algorithm (Gray Wolf Optimization algorithm) is introduced to optimize
the ESN (echo state neural) network for logging porosity prediction.
Tent mapping, a nonlinear control parameter strategy, and PSO (particle
swarm optimization) thought are introduced to optimize the Gray Wolf
Optimization algorithm to improve the global search accuracy and avoid
local optimal solutions. The database is constructed by using logging
data and porosity values measured in the laboratory. Five logging
curves are used as model input parameters, and porosity is used as
the model output parameter. At the same time, three other prediction
models (BP neural network, least squares support vector machine, and
linear regression) are introduced to compare with the optimized models.
The research results show that the improved Gray Wolf Optimization
algorithm has more advantages than the ordinary Gray Wolf Optimization
algorithm in terms of super parameter adjustment. The IGWO-ESN neural
network is better than all machine learning models mentioned in this
paper (GWO-ESN, ESN, BP neural network, least squares support vector
machine, and linear regression) in terms of porosity prediction accuracy.