Award Abstract # 1645246
Self-Organization Mechanisms within Magma-Driven Dyke and Hydraulic Fracture Swarms

NSF Org: EAR
Division Of Earth Sciences
Recipient: UNIVERSITY OF PITTSBURGH - OF THE COMMONWEALTH SYSTEM OF HIGHER EDUCATION
Initial Amendment Date: December 9, 2016
Latest Amendment Date: February 8, 2019
Award Number: 1645246
Award Instrument: Continuing Grant
Program Manager: Dennis Geist
EAR
 Division Of Earth Sciences
GEO
 Directorate for Geosciences
Start Date: January 1, 2017
End Date: December 31, 2020 (Estimated)
Total Intended Award Amount: $310,000.00
Total Awarded Amount to Date: $310,000.00
Funds Obligated to Date: FY 2017 = $110,861.00
FY 2018 = $98,051.00

FY 2019 = $101,088.00
History of Investigator:
  • Andrew Bunger (Principal Investigator)
    bunger@pitt.edu
Recipient Sponsored Research Office: University of Pittsburgh
4200 FIFTH AVENUE
PITTSBURGH
PA  US  15260-0001
(412)624-7400
Sponsor Congressional District: 12
Primary Place of Performance: University of Pittsburgh
PA  US  15213-2303
Primary Place of Performance
Congressional District:
12
Unique Entity Identifier (UEI): MKAGLD59JRL1
Parent UEI:
NSF Program(s): Geophysics
Primary Program Source: 01001718DB NSF RESEARCH & RELATED ACTIVIT
01001819DB NSF RESEARCH & RELATED ACTIVIT

01001920DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s):
Program Element Code(s): 157400
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.050

ABSTRACT

Fluid-filled cracks are an important feature of the upper crust of the Earth, and the proposed work addresses how fluid-filled cracks interact with one another when several are emplaced closely in space and time. Specifically, most magmas are transported in cracks between the deep crust and volcanoes, thus an understanding of the mechanics of these bodies is important for volcanic processes on the Earth and other planets. Hydraulic fracturing has revolutionized the fossil fuel industry and is another example of fluid-filled cracks under pressure. The mechanics of interacting cracks will be examined by applying a novel method that has been developed in biology: swarm theory. The principal investigator will use three methods to tackle the problem. First, mathematical models will be developed. Second, computational models will examine the parameters that lead to the development of crack swarms. Third, analogue experiments, which use artificial materials at room temperature and pressure, will be applied to simulate the processes in the earth and verify the analytical and computational models. The method has the potential to influence the design of new methods that will influence the conditions by which hydrocarbon and geothermal reservoirs are exploited.

A new modeling paradigm is proposed that is based on swarm theory in order to clarify the mechanisms that lead to self-organization of fluid-filled cracks. The proposed research aims to clarify the origin of the alignment, repulsion, and attraction forces within fluid-filled cracks and to demonstrate how the interplay of these forces leads to emergent length scales that provide a lasting and measureable imprint of the mechanical conditions governing emplacement. Analytical, numerical, and analogue models will be developed to test the hypothesis that the mechanical conditions governing emplacement will be systematically expressed in the emergent geometry of the swarm, applying the results in order to infer emplacement conditions using measurements of spacing, length, and width for naturally-occurring dyke swarms and industrial hydraulic fractures. Observations of natural and manmade systems reveal substantial differences: hundreds of igneous dikes grow together as swarms, but hydraulic fractures tend to localize to 1 or 2 dominant strands. This paradox presents a unique opportunity to understand the physical mechanisms that govern whether or not injection of fluid will result in a fluid-driven fracture swarm.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Cheng, C. and Bunger, A. P. "ModelBased Evaluation of Methods for Maximizing Efficiency and Effectiveness of Hydraulic Fracture Stimulation of Horizontal Wells" Geophysical Research Letters , v.46 , 2019 https://doi.org/10.1029/2019GL084809 Citation Details
Cheng, C. and Bunger, A.P. "Reduced order model for simultaneous growth of multiple closely-spaced radial hydraulic fractures" Journal of Computational Physics , v.376 , 2019 10.1016/j.jcp.2018.09.004 Citation Details
Cheng, Cheng and Bunger, Andrew P. "Optimizing fluid viscosity for systems of multiple hydraulic fractures" AIChE Journal , v.65 , 2019 https://doi.org/10.1002/aic.16564 Citation Details
Gunaydin, Delal and Peirce, Anthony P. and Bunger, Andrew P. "Laboratory Experiments Contrasting Growth of Uniformly and Nonuniformly Spaced Hydraulic Fractures" Journal of Geophysical Research: Solid Earth , v.126 , 2021 https://doi.org/10.1029/2020JB020107 Citation Details
Thiele, Samuel T. and Cruden, Alexander R. and Micklethwaite, Steven and Bunger, Andrew P. and Köpping, Jonas "Dyke apertures record stress accumulation during sustained volcanism" Scientific Reports , v.10 , 2020 https://doi.org/10.1038/s41598-020-74361-w Citation Details

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

The more than 400 known examples of giant dyke swarms on Earth, Venus, and Mars have unique geometric fingerprints with previously untapped potential to provide unique insights into conditions that governed emplacement. These conditions are important for understanding how our own ever-changing planet as well as for comparing the extent to which Earth analogues apply for understanding processes on Venus and Mars. Additionally, the mechanisms leading to these magnificent naturally-occurring systems of fluid-driven cracks may hold a key for drastically reducing the negative environmental impacts of the oil/gas production via geologically-inspired, high efficiency approaches to reservoir stimulation and development. Realizing these goals requires mechanical insights on the mechanisms leading to self-organization and emerging geometric features of dyke swarms. 

 
The goal of this project was to discover the mechanisms that lead to self-organization, and in particular emergent length scales governing dyke/fracture spacing, width, and length, within groups of dykes/hydraulic fractures. Drawing on the framework of swarm theory as developed in the biological sciences, the project aims to clarify the origin of the alignment, repulsion, and attraction forces within these systems and to demonstrate how the interplay of these forces leads to emergent length scales that provide a lasting and measureable imprint of the mechanical conditions governing emplacement. 

 
The merit of the work is illustrated through three main achievements, each of which is associated with unique broader impacts. These accomplishments and their impacts begin with the fact that this work led to the first laboratory confirmation of complex interaction among fluid-driven cracks wherein fractures can sometimes be suppressed by their neighbors and, in other cases with specific non-uniform spatial distribution of fractures, they can interact in such a way that all fractures grow . This discovery inspires a new direction of R&D for industrial hydraulic fractures seeking non-uniform spacing in order to promote uniform stimulation without resorting to energy-intensive methods that promote uniformity of fracture growth by increasing the inlet friction. This method could lead to reduction in water and energy consumption associated with oil/gas recovery by 20% or more.

 
The experiments and simulations demonstrate that emergent spacing scales with fracture height, and this behavior is robust for a wide range of emplacement conditions including one-at-a-time (sequential) and many growing together (simultaneous) emplacement . This discovery implies that spacing is a "fingerprint" of the intrusion conditions, and therefore can be used as a fundamental metric for matching portions of dyke swarms that have been separated by movement of tectonic plates on Earth and enables comparison of emplacement conditions among Earth, Venus, and Mars via study of the emergent dyke spacing within swarms on each of those planets. 


Finally, while the importance of rapidly-computing Reduced Order Models (ROMs) for fluid driven cracks (dykes, hydraulic fractures) has been recognized for decades, this project has put forward 3 of the first examples for multiple interacting fractures. Because of these developments, simulations that used to require days to months of computational time are now available in seconds to minutes. Availability of such rapidly computing models opens doors to new possibilities that hinge on the ability to run thousands of simulations in a short period of time. These include finding conditions at the time of dyke swarm emplacement that give a best match between predictions and observations as well as searching for new ways to stimulate oil/gas wells at a fraction of the economic cost and environmental footprint compared to current practice.

 


Last Modified: 04/29/2021
Modified by: Andrew Bunger

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