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pyrestoolbox

-----------------------------A collection of Reservoir Engineering Utilities -----------------------------

This set of functions focuses on those that the author uses often while crafting programming solutions. These are the scripts that are often copy/pasted from previous work - sometimes slightly modified - resulting in a trail of slightly different versions over the years. Some attempt has been made here to make this implementation flexible enough such that it can be relied on as-is going forward.

Includes functions to perform simple calculations including;

  • Inflow for oil and gas
  • PVT Calculations for oil
  • PVT calculation for gas
  • Return critical parameters for typical components
  • Creation of Black Oil Table information
  • Creation of layered permeability distribution consistent with a Lorenze heterogeneity factor
  • Extract problem cells information from Intesect (IX) print files
  • Generation of AQUTAB include file influence functions for use in ECLIPSE
  • Creation of Corey and LET relative permeability tables in Eclipse format
  • Calculation of Methane and CO2 saturated brine properties

Changelist

Upgrade previous installations with

pip install pyrestoolbox --upgrade

Function List

Inflow
  • Gas Flow Rate Radial
  • Gas Flow Rate Linear
  • Oil Flow Rate Radial
  • Oil Flow Rate Linear
Gas PVT
  • Gas Tc & Pc Calculation
  • Gas Z-Factor Calculation
  • Gas Viscosity
  • Gas Viscosity * Z
  • Gas Compressibility
  • Gas Formation Volume Factor
  • Gas Density
  • Gas Water of Condensation
  • Convert P/Z to P
  • Convert Gas Gradient to SG
  • Delta Pseudopressure
  • Gas Condensate FWS SG
Component Library
  • Return critical parameters for typical single components
Oil PVT
  • Oil Density from MW
  • Oil Critical Properties with Twu
  • Incrememtal GOR post Separation
  • Oil Bubble Point Pressure
  • Oil GOR at Pb
  • Oil GOR at P
  • Oil Compressibility
  • Oil Density
  • Oil Formation Volume Factor
  • Oil Viscosity
  • Generate Black Oil Table data
  • Estimate soln gas SG from oil
  • Estimate SG of gas post separator
  • Calculate weighted average surface gas SG
  • Oil API to SG
  • Oil SG to API
CH4 Saturated Brine PVT
  • Calculate suite of methane saturated brine properties
CO2 Saturated Brine PVT
  • Calculate suite of CO2 saturated brine properties
Permeability Layering
  • Lorenz coefficient from Beta value
  • Lorenz coefficient from flow fraction
  • Lorenz coefficient to flow fraction
  • Lorenz coefficient to permeability array
Simulation Helpers
  • Summarize IX convergence errors from PRT file
  • Create Aquifer Influence Functions
  • Perform recursive ECL or IX deck zip/check for INCLUDE files
  • Solve Rachford Rice for user specified feed Zis and Ki's
  • Create sets of rel perm tables

Getting Started

Install the library with pip:

pip install pyrestoolbox

Import library into your project and start using.

A simple example below of estimating oil bubble point pressure.

>>> from pyrestoolbox import pyrestoolbox as rtb
>>> rtb.oil_pbub(api=43, degf=185, rsb=2350, sg_g =0.72, pbmethod ='VALMC')
5179.51086900132

A set of Gas-Oil relative permeability curves with the LET method

>>> import matplotlib.pyplot as plt
>>> df = rtb.simtools.rel_perm(rows=25, krtable='SGOF', krfamily='LET', kromax =1, krgmax =1, swc =0.2, sorg =0.15, Lo=2.5, Eo = 1.25, To = 1.75, Lg = 1.2, Eg = 1.5, Tg = 2.0)
>>> plt.plot(df['Sg'], df['Krgo'], c = 'r', label='Gas')
>>> plt.plot(df['Sg'], df['Krog'], c = 'g', label='Oil')
>>> plt.title('SGOF Gas Oil LET Relative Permeability Curves')
>>> plt.xlabel('Sg')
>>> plt.ylabel('Kr')
>>> plt.legend()
>>> plt.grid('both')
>>> plt.plot()

SGOF Relative Permeability Curves

Or a set of Water-Oil relative permeability curves with the Corey method

>>> df = rtb.simtools.rel_perm(rows=25, krtable='SWOF', kromax =1, krwmax =0.25, swc =0.15, swcr = 0.2, sorw =0.15, no=2.5, nw=1.5)
>>> plt.plot(df['Sw'], df['Krow'], c = 'g', label='Oil')
>>> plt.plot(df['Sw'], df['Krwo'], c = 'b', label='Water')
>>> plt.title('SWOF Water Oil Corey Relative Permeability Curves')
>>> plt.xlabel('Sw')
>>> plt.ylabel('Kr')
>>> plt.legend()
>>> plt.grid('both')
>>> plt.plot()

SWOF Relative Permeability Curves

A set of dimensionless pressures for the constant terminal rate Van Everdingin & Hurst aquifer, along with an AQUTAB.INC export for use in ECLIPSE.

>>> ReDs = [1.5, 2, 3, 5, 10, 25, 1000]
>>> tds, pds = rtb.influence_tables(ReDs=ReDs, export=True)
>>> 
>>> for p, pd in enumerate(pds):
>>>     plt.plot(tds, pd, label = str(ReDs[p]))
>>>     
>>> plt.xscale('log')
>>> plt.yscale('log')
>>> plt.legend(loc='upper left')
>>> plt.grid(which='both')
>>> plt.xlabel('Dimensionless Time (tD)')
>>> plt.ylabel('Dimensionless Pressure Drop (PD)')
>>> plt.title('Constant Terminal Rate Solution')
>>> plt.show()

Constant Terminal Rate influence tables

Or creating black oil table information for oil

>>> results = rtb.make_bot_og(pi=4000, api=38, degf=175, sg_g=0.68, pmax=5000, pb=3900, rsb=2300, nrows=50)
>>> df, st_deno, st_deng, res_denw, res_cw, visw, pb, rsb, rsb_frac, usat = results['bot'], results['deno'], results['deng'], results['denw'], results['cw'], results['uw'], results['pb'], results['rsb'], results['rsb_scale'], results['usat']
>>> 
>>> print('Stock Tank Oil Density:', st_deno, 'lb/cuft')
>>> print('Stock Tank Gas Density:', st_deng, 'lb/cuft')
>>> print('Reservoir Water Density:', res_denw, 'lb/cuft')
>>> print('Reservoir Water Compressibility:', res_cw, '1/psi')
>>> print('Reservoir Water Viscosity:', visw,'cP')
>>> 
>>> fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize=(10,10))
>>> ax1.plot(df['Pressure (psia)'], df['Rs (mscf/stb)'])
>>> ax2.plot(df['Pressure (psia)'], df['Bo (rb/stb)'])
>>> ax3.plot(df['Pressure (psia)'], df['uo (cP)'])
>>> ax4.semilogy(df['Pressure (psia)'], df['Co (1/psi)'])
>>> 
>>> fig.suptitle('Black Oil Properties')
>>> ax1.set_title("Rs vs P")
>>> ax1.set_ylabel('Rs (mscf/stb)')
>>> ax1.set_xlabel('Pressure (psia)')
>>> ax1.grid('both')
>>> 
>>> ax2.set_title("Bo vs P")
>>> ax2.set_ylabel('Bo (rb/stb)')
>>> ax2.set_xlabel('Pressure (psia)')
>>> ax2.grid('both')
>>> 
>>> ax3.set_title("Viso vs P")
>>> ax3.set_xlabel('Pressure (psia)')
>>> ax3.set_ylabel('Viscosity (cP)')
>>> ax3.grid('both')
>>> 
>>> ax4.set_title("Co vs P")
>>> ax4.set_ylabel('Co (1/psi)')
>>> ax4.set_xlabel('Pressure (psia)')
>>> ax4.grid('both')
>>> 
>>> plt.tight_layout()
>>> plt.show()
Iteratively solving for Rsb fraction to use in order to harmonize user specified Pb and Rsb

Stock Tank Oil Density: 52.09203539823009 lb/cuft
Stock Tank Gas Density: 0.052046870460837856 lb/cuft
Reservoir Water Density: 61.40223160167964 lb/cuft
Reservoir Water Compressibility: 2.930237693350768e-06 1/psi
Reservoir Water Viscosity: 0.3640686136171888 cP

Black Oil Properties

And gas

>>> fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize=(10,10))
>>> ax1.semilogy(df['Pressure (psia)'], df['Bg (rb/mscf'])
>>> ax2.plot(df['Pressure (psia)'], df['ug (cP)'])
>>> ax3.plot(df['Pressure (psia)'], df['Gas Z (v/v)'])
>>> ax4.semilogy(df['Pressure (psia)'], df['Cg (1/psi)'])
>>> ...
>>> plt.show()

Dry Gas Properties

With ability to generate Live Oil PVTO style table data as well

>>> pb = 4500
>>> results = rtb.make_bot_og(pvto=True, pi=4000, api=38, degf=175, sg_g=0.68, pmax=5500, pb=pb, nrows=25, export=True)
>>> df, st_deno, st_deng, res_denw, res_cw, visw, pb, rsb, rsb_frac, usat = results['bot'], results['deno'], results['deng'], results['denw'], results['cw'], results['uw'], results['pb'], results['rsb'], results['rsb_scale'], results['usat']
>>> 
>>> if len(usat) == 0:
>>>     usat_flag = False
>>> else:
>>>     usat_flag=True
>>>     usat_p, usat_bo, usat_uo = usat 
>>> 
>>> try:
>>>     pb_idx = df['Pressure (psia)'].tolist().index(pb)
>>>     bob = df['Bo (rb/stb)'].iloc[pb_idx]
>>>     rsb = df['Rs (mscf/stb)'].iloc[pb_idx]
>>>     uob = df['uo (cP)'].iloc[pb_idx]
>>>     cob = df['Co (1/psi)'].iloc[pb_idx]
>>>     no_pb = False
>>> except:
>>>     print('Pb was > Pmax')
>>>     no_pb = True
>>> 
>>> print('Pb (psia):', pb)
>>> print('Bob (rb/stb):', bob)
>>> print('Rsb (mscf/stb):', rsb)
>>> print('Rsb Scaling Required:', rsb_frac)
>>> print('Visob (cP):', uob)
>>> print('Cob (1/psi):', cob,'\n')
>>> print('Stock Tank Oil Density:', st_deno, 'lb/cuft')
>>> print('Stock Tank Gas Density:', st_deng, 'lb/cuft')
>>> print('Reservoir Water Density:', res_denw, 'lb/cuft')
>>> print('Reservoir Water Compressibility:', res_cw, '1/psi')
>>> print('Reservoir Water Viscosity:', visw,'cP')
>>> 
>>> fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize=(10,10))
>>> ax1.plot(df['Pressure (psia)'], df['Rs (mscf/stb)'])
>>> ax2.plot(df['Pressure (psia)'], df['Bo (rb/stb)'])
>>> ax3.plot(df['Pressure (psia)'], df['uo (cP)'])
>>> ax4.semilogy(df['Pressure (psia)'], df['Co (1/psi)'])
>>> 
>>> ax1.plot([pb], [rsb], 'o', c='r')
>>> ax2.plot([pb], [bob], 'o', c='r')
>>> ax3.plot([pb], [uob], 'o', c='r')
>>> ax4.plot([pb], [cob], 'o', c='r')
>>> 
>>> if usat_flag:
>>>     if no_pb == False:
>>>         for i in range(len(usat_bo)):
>>>             ax2.plot(usat_p[i], usat_bo[i], c='k')
>>>             ax3.plot(usat_p[i], usat_uo[i], c='k')
>>> 
>>> fig.suptitle('Black Oil Properties')
>>> ..
>>> ..
>>> plt.show()
Pb (psia): 4500
Bob (rb/stb): 1.6072798403441817
Rsb (mscf/stb): 1.2863705330979234
Rsb Scaling Required: 0.9713981737449556
Visob (cP): 0.3422139569449832
Cob (1/psi): 5.711273668114706e-05 

Stock Tank Oil Density: 52.05522123893805 lb/cuft
Stock Tank Gas Density: 0.052025361717109773 lb/cuft
Reservoir Water Density: 61.40223160167964 lb/cuft
Reservoir Water Compressibility: 2.930237693350768e-06 1/psi
Reservoir Water Viscosity: 0.3640686136171888 cP

Live Oil Properties

Development

pyrestoolbox is maintained by Mark W. Burgoyne (https://github.com/mwburgoyne).

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pyResToolbox - A collection of Reservoir Engineering Utilities

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