Subsurface Velocity and Density Modeling with Wavefield Gradients

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Solution Overview

Problem

Existing methods for generating accurate velocity and density models of subsurface reservoir structures are inadequate, leading to imperfect subsurface imaging and reduced efficiency in hydrocarbon exploration and production.

Innovation Solution

A method involving wavefield propagation and gradient-based updates is employed to generate velocity and density models using seismic data, utilizing wavefield separation techniques and iterative frequency band processing to refine these models iteratively.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If existing methods are used for generating velocity and density models, then the process is simpler, but the imaging accuracy and reliability of subsurface models are insufficient

Engineering Contradiction:
Improveimaging accuracyVSAvoidmethod complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the velocity model and density model generation into distinct computational steps: wavefield propagation, gradient calculation for velocity, reflectivity gradient calculation for density, and iterative updates. This segmentation allows each component to be optimized independently while maintaining overall accuracy, resolving the contradiction between imaging precision and method complexity.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent employs parameter changes by iteratively updating velocity and density models based on calculated gradients from wavefield data. The method transforms the inversion problem into a gradient-based optimization process, changing model parameters systematically to improve imaging accuracy while providing a structured approach to manage complexity.

Inventive Principle:
Principle #35Parameter changes

2Reliability

If gradient-based iterative updates are employed to refine models, then the reliability of subsurface models improves, but the computational time and processing complexity increase

Engineering Contradiction:
Improvemodel reliabilityVSAvoidcomputational time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent performs preliminary wavefield propagation and gradient calculations before model updates, preparing all necessary computational components in advance. This preliminary action structures the iterative process to minimize redundant calculations, thereby improving model reliability while reducing overall computational time.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent implements feedback mechanisms where updated velocity and density models are used to generate new wavefields, which then feed into the next iteration of gradient calculations. This feedback loop systematically improves model reliability through iterative refinement while the structured feedback process prevents wasteful computations by using previous iteration results.

Inventive Principle:
Principle #23Feedback

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The method provides highly accurate subsurface structure imaging, enhancing hydrocarbon exploration success and reducing geohazards by improving the resolution and reliability of subsurface models.

Implementation Method 1

a velocity model maps out the layers of rock in a geographic region and the expected speed at which seismic waves (for example, P-waves or S-waves) will travel in each layer

Methodology Applied
Scientific EffectWave propagation: Sound

Implementation Method 2

The wavefield separation may be performed using a Stokes' theorem-based approach

Methodology Applied
Scientific EffectWavefield separation:

Data Source

PatentEP3942338B1Generating a velocity model and a density model of a subsurface structure of a reservoir
Publication Date: 2026.03.04 SAUDI ARABIAN OIL CO
  • EP3942338B1 patent drawingFigure 1
  • EP3942338B1 patent drawingFigure 2
  • EP3942338B1 patent drawingFigure 3

AI summary

A method (400) including: receiving (402), by a data processing apparatus, a set of seismic data of the hydrocarbon reservoir; setting (404), by the data processing apparatus, an initial velocity model and an initial density model; generating (406), by the data processing apparatus, wavefields of the hydrocarbon reservoir based on the set of seismic data; selecting (408), by the data processing apparatus, a spatial direction; generating (410), by the data processing apparatus, a velocity gradient and a reflectivity gradient of the selected spatial direction based on the wavefields; and updating (412), by the data processing apparatus, the velocity model and the density model using the velocity gradient and the reflectivity gradient of the selected spatial direction.