Dear Atif Ismail;

I suggest you to see links on topic.

Software - Fracom Ltd

www.fracom.fi › ...

Mechanistically Modeling of Hydraulic Fracture Propagation and ...

https://pangea.stanford.edu › pdf › SGW › Huang1

Modeling hydraulic fracture propagation using cohesive zone ...

https://www.researchgate.net › publication › 31837361...

A phase-field modeling approach of fracture propagation in ... - arXiv

https://arxiv.org › pdf

Three-dimensional fracture Propagation model and ... - IOPscience

iopscience.iop.org › article › pdf

Application of fracture mechanics for improved design of ... - ROSA P

https://rosap.ntl.bts.gov › view › dot › dot_29803_DS1

Best regards

You may follow different fracture software to calculate fracture dimensions. Two of them, Fracpro (Fracpro, 2011) and MFrac (Meyer, 2012), are pseudo 3D models, and the other two, E-StimPlan (NSI Technologies Inc., 2010) and GOHFER (GOHFER, 2012), are planner 3D models. These models can be run for non-reactive fluid before acid injection, and the fracture width is then used as the initial condition in acid transport and dissolution modeling.

In what follows, a brief description of these commercial software are presented:

1 - Fracpro Fracpro

Fracpro Fracpro is a Pseudo-three-dimensional hydraulic fracturing model. This model was first presented by Settari and Cleary (1986). It is less comprehensive but more practical. The geometry model is based on a 3-D Lumped Fracture Model (Settari et al., 1986), however have some modification by introducing shape factors, i.e. fracture toughness, stress profile, modulus, leak-off, etc., as multiplier into the model. The Pseudo-3D model is formulated using the equations underlying for fluid flow and crack opening for the main body of the fracture and are coupled with a scheme for describing the vertical fracture growth at each cross section (y-z plane, where y stands for width opening direction and z stands for height direction).

2 - MFrac

A three-dimensional planar fracture model with either lateral or vertical fracture propagation can be modeled in MFrac. Simulating large length to height aspect ratio cases, the model approaches the PKN model which may have constant height type geometry. When no confining stress, toughness or moduli contrast are encountered, the model approaches vertical radial-shape fracture geometry. MFrac also accounts for the coupled parameters affecting fracture propagation and proppant transport.

MFrac is not a fully 3-D model. It is however, formulated between a pseudo 3D and a full 3-D type model with an applicable half-length to half-height aspect ratio greater than about 1/3. It also has options for 2-D type fracture models.

3 - GOHFER GOHFER, which stands for Grid Oriented Hydraulic Fracture Extension Replicator, is a planar three dimensional geometry fracture simulator with a fully coupled fluid/solid transport simulator. The model utilized Cartesian corner point gridding system to describe the entire domain, similar to a reservoir simulator approach. Fluid composition, proppant concentration, shear, leakoff, width, pressure, viscosity and other state variables are defined at each corner point of grid blocks. The fracture extension and deformation model in GOHFER is based on a formulation that expects the formation to fail in shear.

In GOHFER, the in-situ stress is internally calculated from pore pressure, poroelasticity, elastic moduli and geologically consistent boundary conditions. Local displacements are controlled by local pressures and rock properties.

4 - E-StimPlan

E-StimPlan is a 3-D fracture geometry simulator, though the fracture is still constrained to lie in a single plane. It includes a rigorous, fully numerical solution for two dimensional fluid-flow/proppant-transport calculations and a rigorous FEM (Finite Element Method) solution for fracture width and propagation in a layered formation with varying moduli. It also has 1-D and 2-D options in E-StimPlan.

E-StimPlan differs from the Pseudo-3D models due to the following two enhancements. Fracture width is calculated by using 3-D elasticity, and, is a function of pressure everywhere in the fracture zone. Thus, the fracture width is calculated correctly for a complex geometry. Secondly, fracture propagation is allowed and calculated for any points around the fracture perimeter. Thus, when the fracture breaks through into another layer with lower stress the fracture begins to preferentially propagate into that zone.

I hope it is helpful for you.

All the best.