Model development for shear sonic velocity using geophysical log data: Sensitivity analysis and statistical assessment

https://doi.org/10.1016/j.jngse.2020.103778Get rights and content

Highlights

  • Hybrid models are implemented to assess Vs prediction performance.

  • Both regression analysis and LSSVM-CSA are applied to rank the log variables.

  • Vp and N are the most significant parameters affecting Vs magnitude.

  • Predictions and variable ranking are in excellent agreement with the field log data.

  • A new correlation is introduced to predict Vs for clastic formation cases.

Abstract

Reservoir geomechanical parameters play a vital role in evaluating sanding potential, wellbore stability, and drilling performance for making decisions on development strategies of oil and gas fields. Compared to expensive experimental/laboratory investigations, the petrophysical log data-driven shear sonic velocity models are proven to be cost effective and quick to estimate geomechanical formation properties. The objective of this study is to introduce a new deterministic model using the most contributing predictor variables and to rank the variables according to their relative importance while predicting dynamic shear sonic wave velocity for clastic sedimentary rocks. The least-squares support vector machine with a global optimization technique is used to construct a data-driven model for shear sonic velocity estimation. A new regressive correlation is also proposed. The model performance is assessed using statistical parameters to ensure the model accuracy and reliability. Based on the relative contribution of log variables, the influential variables are ranked (higher to lower order) as follows: acoustic compressional sonic velocity, porosity, and bulk density. The developed model is validated; the predictions are compared with real data and existing log-based correlations for clastic sedimentary rocks using data from two real fields, namely the North Sea and the Niger Delta basins. The developed shear wave velocity model will assist geomechanists and drilling engineers in obtaining accurate formation elastic properties and rock strength, which are required for wellbore failure analysis as well as assessment of sanding occurrence during exploration and drilling.

Section snippets

Credit author statement

Mohammad Islam Miah: Conceptualization, Data curation, Methodology, Modeling/Simulation, Validation, Writing – original draft; Salim Ahmed: Supervision, Technical Discussion, Writing- Reviewing and Editing; Sohrab Zendehboudi: Supervision, Technical Discussion, Writing- Reviewing and Editing

Fundamentals of wireline logs and quality assurance of log data

The formation properties such as rock porosity, permeability, and acoustic travel time can be obtained through experimental core analysis and/or using petrophysical wireline log data. The logs are reliable to estimate in-situ porosity, permeability, and acoustic velocities in the absence of core data. The most common petrophysical logs are natural gamma-ray (GR), resistivity, sonic, neutron, and density logs, which are generally used for formation analysis and geomechanical properties

Data quality

The wireline log data such as gamma-ray, formation bulk density, neutron porosity, acoustic compressional, and shear sonic velocities are considerably changed with formation depth due to the complex behavior and heterogeneity of shaly sand sedimentary rocks. For the data set under study, the statistical information on the log data samples are presented in Table 2 for the entire depth of the formation. The correlation matrix between Vs and other formation properties (e.g., gamma-ray, neutron

Conclusions

In this study, Gaussian radial basis kernel function (RBF) - least square support vector machine (LSSVM) linked with coupled simulated annealing (CSA) optimization technique is employed to obtain the dynamic shear sonic velocity (Vs) using real field petrophysical log data such as gamma-ray, neutron porosity, bulk density, and compressional sonic velocity. The LSSVM approach also finds the most influential parameters and ranks them based on their relative significance. In the current research,

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgements

We thank Equinor Canada Ltd., Natural Sciences and Engineering Research Council of Canada (NSERC), Memorial University, and InnovateNL for providing financial support, and also the Chittagong University of Engineering and Technology, Bangladesh for research support to accomplish the study.

References (97)

  • K. Aoyagi et al.

    Clay minerals in carbonate reservoir rocks and their significance in porosity studies

    Sediment. Geol.

    (1972)
  • M. Arabloo et al.

    SVM modeling of the constant volume depletion (CVD) behavior of gas condensate reservoirs

    J. Nat. Gas Sci. Eng.

    (2014)
  • M. Arabloo et al.

    A novel modeling approach to optimize oxygen–steam ratios in coal gasification process

    Fuel

    (2015)
  • P. Bagheripour et al.

    Support vector regression based determination of shear wave velocity

    J. Petrol. Sci. Eng.

    (2015)
  • R. Baouche et al.

    Distribution of pore pressure and fracture pressure gradients in the paleozoic sediments of Takouazet field, Illizi basin, Algeria

    J. Afr. Earth Sci.

    (2020)
  • R. Baouche et al.

    Integrated reservoir characterization of the paleozoic and mesozoic sandstones of the el ouar field, Algeria

    J. Petrol. Sci. Eng.

    (2020)
  • R. Baouche et al.

    Characterization of Pore Pressure, Fracture Pressure, Shear Failure and its Implications for Drilling, Wellbore Stability and Completion Design–A Case Study from the Takouazet Field, Illizi Basin, Algeria

    (2020)
  • Y. Cai et al.

    A data mining approach to finding relationships between reservoir properties and oil production for CHOPS

    Comput. Geosci.

    (2014)
  • R.D. Carroll

    November). The determination of the acoustic parameters of volcanic rocks from compressional velocity measurements

  • N. Ceryan

    Application of support vector machines and relevance vector machines in predicting uniaxial compressive strength of volcanic rocks

    J. Afr. Earth Sci.

    (2014)
  • C. Chang et al.

    Empirical relations between rock strength and physical properties in sedimentary rocks

    J. Petrol. Sci. Eng.

    (2006)
  • C. Cranganu et al.

    Using gene expression programming to estimate sonic log distributions based on the natural gamma ray and deep resistivity logs: a case study from the Anadarko Basin, Oklahoma

    J. Petrol. Sci. Eng.

    (2010)
  • A. Ebrahimi et al.

    Developing a novel workflow for natural gas lift optimization using advanced support vector machine

    J. Nat. Gas Sci. Eng.

    (2016)
  • S. Esfahani et al.

    On determination of natural gas density: least square support vector machine modeling approach

    J. Nat. Gas Sci. Eng.

    (2015)
  • S.S. Ganguli et al.

    Investigation of present-day in-situ stresses and pore pressure in the south Cambay Basin, western India: implications for drilling, reservoir development and fault reactivation

    Mar. Petrol. Geol.

    (2020)
  • S.S. Ganguli et al.

    Deep thermal regime, temperature induced over-pressured zone and implications for hydrocarbon potential in the Ankleshwar oil field, Cambay basin, India

    J. Asian Earth Sci.

    (2018)
  • M.M. Ghiasi et al.

    Rigorous models to optimise stripping gas rate in natural gas dehydration units

    Fuel

    (2015)
  • B.Z. Hsieh et al.

    Estimation of formation strength index of aquifer from neural networks

    Comput. Geosci.

    (2009)
  • A. Ismail et al.

    A comparative study of empirical, statistical and virtual analysis for the estimation of pore network permeability

    J. Nat. Gas Sci. Eng.

    (2017)
  • A. Kamari et al.

    New tools predict monoethylene glycol injection rate for natural gas hydrate inhibition

    J. Loss Prev. Process. Ind.

    (2015)
  • W.M. Mabrouk et al.

    Compressional and shear wave velocity in terms of petrophysical parameters in clean formations

    J. Petrol. Sci. Eng.

    (2009)
  • P. Masoudi et al.

    Uncertainty assessment of volumes of investigation to enhance the vertical resolution of well-logs

    J. Petrol. Sci. Eng.

    (2017)
  • M.I. Miah

    Predictive models and feature ranking in reservoir geomechanics: a critical review and research guidelines

    J. Nat. Gas Sci. Eng.

    (2020)
  • M.I. Miah et al.

    Log data-driven model and feature ranking for water saturation prediction using machine learning approach

    J. Petrol. Sci. Eng.

    (2020)
  • D. Moos et al.

    Comprehensive wellbore stability analysis utilizing quantitative risk assessment

    J. Petrol. Sci. Eng.

    (2003)
  • A. Movahhed et al.

    Introducing a method for calculating water saturation in a carbonate gas reservoir

    J. Nat. Gas Sci. Eng.

    (2019)
  • M. Nikravesh et al.

    Soft computing for intelligent reservoir characterization and modeling

  • O. Oloruntobi et al.

    The shear-wave velocity prediction for sedimentary rocks

    J. Nat. Gas Sci. Eng.

    (2020)
  • O. Oloruntobi et al.

    Data-driven shear wave velocity prediction model for siliciclastic rocks

    J. Petrol. Sci. Eng.

    (2019)
  • D. Onalo et al.

    Data driven model for sonic well log prediction

    J. Petrol. Sci. Eng.

    (2018)
  • M. Rajabi et al.

    Intelligent approaches for prediction of compressional, shear and Stoneley wave velocities from conventional well log data: a case study from the Sarvak carbonate reservoir in the Abadan Plain (Southwestern Iran)

    Comput. Geosci.

    (2010)
  • V. Rasouli et al.

    The influence of perturbed stresses near faults on drilling strategy: a case study in Blacktip field, North Australia

    J. Petrol. Sci. Eng.

    (2011)
  • M.R. Rezaee et al.

    Prediction of shear wave velocity from petrophysical data utilizing intelligent systems: an example from a sandstone reservoir of Carnarvon Basin, Australia

    J. Petrol. Sci. Eng.

    (2007)
  • L. Rolon et al.

    Using artificial neural networks to generate synthetic well logs

    J. Nat. Gas Sci. Eng.

    (2009)
  • S. Rostami et al.

    Prediction of oil-water relative permeability in sandstone and carbonate reservoir rocks using the CSA-LSSVM algorithm

    J. Petrol. Sci. Eng.

    (2019)
  • W. Si et al.

    Experimental study of water saturation effect on acoustic velocity of sandstones

    J. Nat. Gas Sci. Eng.

    (2016)
  • O. Sudakov et al.

    Driving digital rock towards machine learning: predicting permeability with gradient boosting and deep neural networks

    Comput. Geosci.

    (2019)
  • P. Wang et al.

    On a new method of estimating shear wave velocity from conventional well logs

    J. Petrol. Sci. Eng.

    (2019)
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