Rock Physics Modeling Assignment
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Introduction to Rock Physics modeling
Submit a word document with text and figures justifying your answers.
For this assignment we will use the slides on rock physics provided by Hampson Russell (available on Blackboard) to illustrate some basic concepts in rock physics and fluid substitution. You can refer to Chapters 1 & 2 of Chopra and Castagna AVO book for more detailed presentation.
Use Matlab for your modeling work:
1) Density vs. Water Saturation and varying pore fluid: Illustrate the effect of: a) varying water saturation to density (water saturation from 0% to 100%) and b) varying fluid type to density (i.e. substituting gas for oil) in the water saturated sandstone.
a) Sandstone porosity=33%, densities (g/cc) matrix=2.65, water=1, oil=0.8, gas=0.001. Code the bulk density equation shown in slide 50 to create the graph shown in slide 51.
b) Repeat for a different “reservoir” rock of your choice (e.g. carbonate, shale …). Select appropriate modeling parameters from the literature and class notes. Reference the source of your selected modeling parameters in your report.
2) Velocity vs. Water Saturation and varying pore fluid: Illustrate the effect of: a) varying water saturation to velocity (water saturation from 0% to 100%) and b) varying fluid type to velocity (i.e. substituting gas for oil) in the water saturated sandstone.
a) Use the Whyllie equation for sandstone with porosity=33%, velocities (m/s) matrix=5700, water=1600, oil=1300, gas=300 to model saturated sandstone P-wave velocities. Code the Whyllie equation shown in slide 60 and create the corresponding graph.
b) Use the Biot-Gassmann approach for gas (slide 70) and oil (slide 72) saturated sandstone for reservoir porosity=33%, Kmatrix=40 Gpa, Kdry=3.25 Gpa, Kw=2.38 Gpa, Koil=1.0 Gpa, Kgas=0.021 Gpa, Shear Modulus=3.3 Gpa.
Compute the fluid bulk modulus as a function of water saturation (0% – 100%) for gas-water and oil-water saturated rock (slide 67).
Use equation 1 (slide 64) to compute Ksat and equations in slide 61 to obtain Vp and Vs. Take into account density vs. water saturation and fluid computed in question 1. Generate the graphs shown in slides 70 and 72.
3) Discuss the differences in the Vp models obtained using Whyllie vs. Bio-Gassman methods.
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