Physics-constrained deep learning for solving seepage equation

Deep learning of subsurface flow via theory-guided neural network

(2020) Nanzhe Wang et al.   JOURNAL OF HYDROLOGY

PPINN: Parareal physics-informed neural network for time-dependent PDEs

(2020) Xuhui Meng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A derivative-free method for solving elliptic partial differential equations with deep neural networks

(2020) Jihun Han et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Automatic well test interpretation based on convolutional neural network for infinite reservoir

(2020) Xuliang Liu et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

PhyGeoNet: Physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain

(2020) Han Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Deep autoregressive neural networks for high‐dimensional inverse problems in groundwater contaminant source identification

(2019) Shaoxing Mo et al.   WATER RESOURCES RESEARCH

Neural network as a function approximator and its application in solving differential equations

(2019) Zeyu Liu et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data

(2019) Luning Sun et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network

(2019) Zichao Long et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification

(2018) Yinhao Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hidden physics models: Machine learning of nonlinear partial differential equations

(2018) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations

(2018) Maziar Raissi et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

DGM: A deep learning algorithm for solving partial differential equations

(2018) Justin Sirignano et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Modeling interporosity flow functions and shape factors in low-permeability naturally fractured reservoir

(2017) Yongming He et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Pressure transient analysis of low permeability reservoir with pseudo threshold pressure gradient

(2016) Daolun Li et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Composition-Transient Analysis in Shale-Gas Reservoirs With Consideration of Multicomponent Adsorption

(2016) Daolun Li et al.   SPE JOURNAL

Model identification for gas condensate reservoirs by using ANN method based on well test data

(2014) Najmeh Ghaffarian et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Effect of Knudsen diffusion and Langmuir adsorption on pressure transient response in tight- and shale-gas reservoirs

(2014) Daolun Li et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Analysis of linear difference schemes in the sparse grid combination technique

(2012) C. Reisinger   IMA JOURNAL OF NUMERICAL ANALYSIS

A highly parallel Black–Scholes solver based on adaptive sparse grids

(2012) Alexander Heinecke et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Option pricing with a direct adaptive sparse grid approach

(2011) Hans-Joachim Bungartz et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Automatic recognition of oil reservoir models from well testing data by using multi-layer perceptron networks

(2011) Behzad Vaferi et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Reservoir simulation and modeling based on artificial intelligence and data mining (AI&DM)

(2011) Shahab Dean Mohaghegh   Journal of Natural Gas Science and Engineering