Method for the Inverse Problem Solution for Reconstruction of Stress Strain State of Rock Mass Based on Natural Fractures Data

The paper is devoted to the problem of reconstructing stress state of the rock mass using data on natural fractures. A particular problem of reconstructing stress profiles along the well trajectory from data on spatial orientations and activity of natural fractures in well surrounding rock masses is...

Full description

Saved in:
Bibliographic Details
Published in:Izvestiya. Physics of the solid earth 2022-08, Vol.58 (4), p.544-561
Main Authors: Dubinya, N. V., Tikhotskiy, S. A.
Format: Article
Language:English
Subjects:
Earth and Environmental Science
Earth Sciences
Fractures
Geophysics/Geodesy
Inverse problems
Objective function
Optimization
Reconstruction
Rock
Rock masses
Rocks
Spatial data
Stress state
Stresses
Tectonics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The paper is devoted to the problem of reconstructing stress state of the rock mass using data on natural fractures. A particular problem of reconstructing stress profiles along the well trajectory from data on spatial orientations and activity of natural fractures in well surrounding rock masses is considered. An approach for estimation of tectonic stresses from these data developed in the previous studies is considered with regard to the specifics of inverse problem solution. An optimization problem emerging during stress reconstruction procedure is stated and various methods of its solution are analyzed. Four different ways to define the objective functions measuring the degree of agreement between real and modeled fractures properties which can be used to reconstruct stresses based on natural fractures related data. The effect of objective function definition on the inverse problem solution is studied in a comparative way. To do that, a synthetic fracture model is constructed; the problem of rock mass stress state reconstruction is stated and solved for the synthetic model using different objective functions. It is revealed that variation of objective function used in practice for stress state reconstruction from natural fractures data leads both to alteration of the obtained solution for the inverse problem and solution uniqueness and stability with regard to worsening of the input data. The paper presents certain conclusions related to the suggestions on choosing a particular objective function for inverse problem solution depending on presence and quality of data related to natural fractures.
ISSN:1069-3513
1555-6506
DOI:10.1134/S1069351322040024